4.55/4.58 YES 4.55/4.58 4.55/4.58 DP problem for innermost termination. 4.55/4.58 P = 4.55/4.58 init#(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18, x19, x20, x21, x22, x23, x24, x25, x26, x27, x28, x29, x30, x31, x32) -> f9#(rnd1, rnd2, rnd3, rnd4, rnd5, rnd6, rnd7, rnd8, rnd9, rnd10, rnd11, rnd12, rnd13, rnd14, rnd15, rnd16, rnd17, rnd18, rnd19, rnd20, rnd21, rnd22, rnd23, rnd24, rnd25, rnd26, rnd27, rnd28, rnd29, rnd30, rnd31, rnd32) 4.55/4.58 f14#(I0, I1, I2, I3, I4, I5, I6, I7, I8, I9, I10, I11, I12, I13, I14, I15, I16, I17, I18, I19, I20, I21, I22, I23, I24, I25, I26, I27, I28, I29, I30, I31) -> f14#(I32, I1 - 1, 0, 1, 1, I33, I34, I7, I35, I9, I36, I11, 0, I37, 2, I38, I39, I40, I41, I19 + 1, I42, I43, I44, I23 + 1, I24 + 1, I45, I46, I47, I48, I49, I50, I51) [0 <= I1 - 1 /\ -1 <= y1 - 1 /\ 0 <= I5 - 1 /\ 0 <= I2 - 1 /\ -1 <= I19 - 1 /\ I19 <= y1 - 1 /\ 0 <= I9 - 1 /\ 0 <= I11 - 1 /\ -1 <= y2 - 1 /\ 0 <= I18 - 1 /\ 0 <= I17 - 1 /\ 0 <= I16 - 1 /\ 0 <= I7 - 1 /\ -1 <= I24 - 1 /\ -1 <= I23 - 1 /\ 11 <= I0 - 1 /\ 13 <= I32 - 1 /\ I20 + 9 <= I0 /\ I21 + 9 <= I0 /\ I22 + 9 <= I0 /\ I24 + 3 <= I0 /\ I23 + 5 <= I0 /\ I7 = I8 /\ I9 = I10 /\ I11 = I12 /\ I6 = I15] 4.55/4.58 f14#(I52, I53, I54, I55, I56, I57, I58, I59, I60, I61, I62, I63, I64, I65, I66, I67, I68, I69, I70, I71, I72, I73, I74, I75, I76, I77, I78, I79, I80, I81, I82, I83) -> f14#(I84, I53 - 1, I54, I85, I86, I57, I58, I59, I87, I61, I88, I63, I89, I90, I91, I92, I93, I94, I95, I71 + 1, I96, I97, I98, I75 + 1, I76 + 1, I99, I100, I101, I102, I103, I104, I105) [0 <= I53 - 1 /\ -1 <= I106 - 1 /\ 0 <= I57 - 1 /\ 0 <= I54 - 1 /\ -1 <= I71 - 1 /\ I71 <= I106 - 1 /\ 0 <= I61 - 1 /\ 0 <= I55 - 1 /\ 0 <= I64 - 1 /\ 0 <= I62 - 1 /\ 0 <= I63 - 1 /\ -1 <= I107 - 1 /\ 0 <= I60 - 1 /\ 0 <= I56 - 1 /\ 0 <= I70 - 1 /\ 0 <= I65 - 1 /\ 0 <= I69 - 1 /\ 0 <= I68 - 1 /\ 0 <= I66 - 1 /\ 0 <= I67 - 1 /\ -1 <= I76 - 1 /\ -1 <= I75 - 1 /\ 9 <= I52 - 1 /\ 9 <= I84 - 1 /\ I72 + 9 <= I52 /\ I73 + 9 <= I52 /\ I74 + 9 <= I52 /\ I76 + 3 <= I52 /\ I75 + 5 <= I52] 4.55/4.58 f8#(I108, I109, I110, I111, I112, I113, I114, I115, I116, I117, I118, I119, I120, I121, I122, I123, I124, I125, I126, I127, I128, I129, I130, I131, I132, I133, I134, I135, I136, I137, I138, I139) -> f14#(I140, I108, I120, I118, I114, I119, I113, I141, I110, I121, I112, 0, I111, I115, I116, I117, I122, I123, I124, I126, I142, I143, I144, I129, I130, I145, I146, I147, I148, I149, I150, I151) [I129 + 5 <= I109 /\ I130 + 3 <= I109 /\ I128 + 9 <= I109 /\ I127 + 9 <= I109 /\ 11 <= I140 - 1 /\ 11 <= I109 - 1] 4.55/4.58 f9#(I152, I153, I154, I155, I156, I157, I158, I159, I160, I161, I162, I163, I164, I165, I166, I167, I168, I169, I170, I171, I172, I173, I174, I175, I176, I177, I178, I179, I180, I181, I182, I183) -> f7#(I184, I185, I186, I187, 1, 0, 0, I188, I189, I190, I191, I192, I193, I194, I195, I196, I197, I198, I199, I200, I201, I202, I203, I204, I205, I206, I207, I208, I209, I210, I211, I212) [7 <= I185 - 1 /\ 0 <= I152 - 1 /\ I185 - 7 <= I152 /\ 0 <= I153 - 1 /\ -1 <= I184 - 1] 4.55/4.58 f12#(I213, I214, I215, I216, I217, I218, I219, I220, I221, I222, I223, I224, I225, I226, I227, I228, I229, I230, I231, I232, I233, I234, I235, I236, I237, I238, I239, I240, I241, I242, I243, I244) -> f5#(I245, I246, I247, I248, I249, I250, I251, I252, I253, I254, I216, I255, I256, I257, I217, I218, I219, I220, I258, I259, I260, I261, I262, I263, I264, I265, I266, I267, I268, I269, I270, I271) [I259 + 4 <= I214 /\ I260 + 4 <= I214 /\ I258 + 4 <= I214 /\ I220 + 2 <= I214 /\ I267 + 6 <= I214 /\ I266 + 6 <= I214 /\ I265 + 6 <= I214 /\ I219 + 4 <= I214 /\ I218 + 3 <= I213 /\ I217 + 5 <= I213 /\ I257 + 9 <= I213 /\ I256 + 9 <= I213 /\ I255 + 9 <= I213 /\ I216 + 7 <= I213 /\ I254 + 11 <= I213 /\ I253 + 11 <= I213 /\ I252 + 11 <= I213 /\ I251 + 9 <= I213 /\ 4 <= I249 - 1 /\ 0 <= I248 - 1 /\ 4 <= I247 - 1 /\ 9 <= I246 - 1 /\ 0 <= I245 - 1 /\ 4 <= I214 - 1 /\ 9 <= I213 - 1 /\ I247 <= I214 /\ I246 <= I213 /\ I245 + 4 <= I214 /\ I245 + 9 <= I213] 4.55/4.58 f12#(I272, I273, I274, I275, I276, I277, I278, I279, I280, I281, I282, I283, I284, I285, I286, I287, I288, I289, I290, I291, I292, I293, I294, I295, I296, I297, I298, I299, I300, I301, I302, I303) -> f3#(I304, I305, I306, I307, I308, I309, I274, I310, I311, I275, I312, I313, I314, I276, I277, I315, I278, I316, I317, I318, I279, I319, I320, I321, I322, I323, I324, I325, I326, I327, I328, I329) [I320 + 4 <= I273 /\ I321 + 4 <= I273 /\ I319 + 4 <= I273 /\ I279 + 2 <= I273 /\ I318 + 6 <= I273 /\ I317 + 6 <= I273 /\ I316 + 6 <= I273 /\ I278 + 4 <= I273 /\ I315 + 5 <= I273 /\ I277 + 3 <= I272 /\ I276 + 5 <= I272 /\ I314 + 9 <= I272 /\ I313 + 9 <= I272 /\ I312 + 9 <= I272 /\ I275 + 7 <= I272 /\ I311 + 8 <= I272 /\ 2 <= I308 - 1 /\ 0 <= I307 - 1 /\ 4 <= I306 - 1 /\ 7 <= I305 - 1 /\ 0 <= I304 - 1 /\ 4 <= I273 - 1 /\ 7 <= I272 - 1 /\ I306 <= I273 /\ I305 <= I272 /\ I304 + 4 <= I273 /\ 0 <= I274 - 1 /\ I304 + 7 <= I272] 4.55/4.58 f13#(I330, I331, I332, I333, I334, I335, I336, I337, I338, I339, I340, I341, I342, I343, I344, I345, I346, I347, I348, I349, I350, I351, I352, I353, I354, I355, I356, I357, I358, I359, I360, I361) -> f1#(I362, I363, I364, I365, I366, I367, I368, I369, I370, I371, I372, I373, I374, I333, I334, I375, I376, I377, I335, I378, I379, I380, I381, I382, I383, I336, I337, I384, I385, I386, I387, I388) [I385 + 4 <= I332 /\ I386 + 4 <= I332 /\ I384 + 4 <= I332 /\ I337 + 2 <= I332 /\ I336 + 3 <= I332 /\ I383 + 2 <= I331 /\ I382 + 2 <= I331 /\ I381 + 2 <= I331 /\ I380 + 4 <= I330 /\ I379 + 4 <= I330 /\ I378 + 4 <= I330 /\ I335 + 2 <= I330 /\ I377 + 6 <= I330 /\ I376 + 6 <= I330 /\ I375 + 6 <= I330 /\ I334 + 4 <= I330 /\ I333 + 5 <= I330 /\ 2 <= I366 - 1 /\ 0 <= I365 - 1 /\ 4 <= I364 - 1 /\ 5 <= I363 - 1 /\ 0 <= I362 - 1 /\ 2 <= I332 - 1 /\ 0 <= I331 - 1 /\ 4 <= I330 - 1 /\ I366 <= I332 /\ I365 <= I331 /\ I364 <= I330 /\ I362 + 2 <= I332 /\ I362 <= I331 /\ I362 + 4 <= I330] 4.55/4.58 f10#(I389, I390, I391, I392, I393, I394, I395, I396, I397, I398, I399, I400, I401, I402, I403, I404, I405, I406, I407, I408, I409, I410, I411, I412, I413, I414, I415, I416, I417, I418, I419, I420) -> f13#(I421, I422, I423, I424, I425, I426, I427, I428, I429, I430, I431, I432, I433, I434, I435, I436, I437, I438, I439, I440, I441, I442, I443, I444, I445, I446, I447, I448, I449, I450, I451, I452) [0 <= I392 - 1 /\ 0 <= I453 - 1 /\ 0 <= I454 - 1 /\ y3 <= I453 - 1 /\ I453 <= I392 - 1 /\ 9 <= I389 - 1 /\ 2 <= I390 - 1 /\ 4 <= I421 - 1 /\ -1 <= I422 - 1 /\ 2 <= I423 - 1 /\ I393 + 5 <= I389 /\ I394 + 3 <= I389 /\ I395 + 3 <= I390] 4.55/4.58 f10#(I455, I456, I457, I458, I459, I460, I461, I462, I463, I464, I465, I466, I467, I468, I469, I470, I471, I472, I473, I474, I475, I476, I477, I478, I479, I480, I481, I482, I483, I484, I485, I486) -> f12#(I487, I488, I489, I490, I459, I460, I491, I492, I493, I494, I495, I496, I497, I498, I499, I500, I501, I502, I503, I504, I505, I506, I507, I508, I509, I510, I511, I512, I513, I514, I515, I516) [I517 <= -1 /\ 0 <= I458 - 1 /\ I518 <= -1 /\ I519 <= I458 - 1 /\ I489 <= 0 /\ 0 <= I457 - 1 /\ 9 <= I455 - 1 /\ 2 <= I456 - 1 /\ 7 <= I487 - 1 /\ 4 <= I488 - 1 /\ I459 + 5 <= I455 /\ I460 + 3 <= I455 /\ I461 + 3 <= I456] 4.55/4.58 f10#(I520, I521, I522, I523, I524, I525, I526, I527, I528, I529, I530, I531, I532, I533, I534, I535, I536, I537, I538, I539, I540, I541, I542, I543, I544, I545, I546, I547, I548, I549, I550, I551) -> f12#(I552, I553, I554, I555, I524, I525, I556, I557, I558, I559, I560, I561, I562, I563, I564, I565, I566, I567, I568, I569, I570, I571, I572, I573, I574, I575, I576, I577, I578, I579, I580, I581) [I582 <= 0 /\ 0 <= I523 - 1 /\ I583 <= I584 - 1 /\ -1 <= I584 - 1 /\ y4 <= I523 - 1 /\ 0 <= I582 - 1 /\ I554 <= 0 /\ 9 <= I520 - 1 /\ 2 <= I521 - 1 /\ 7 <= I552 - 1 /\ 4 <= I553 - 1 /\ I524 + 5 <= I520 /\ I525 + 3 <= I520 /\ I526 + 3 <= I521] 4.55/4.58 f10#(I585, I586, I587, I588, I589, I590, I591, I592, I593, I594, I595, I596, I597, I598, I599, I600, I601, I602, I603, I604, I605, I606, I607, I608, I609, I610, I611, I612, I613, I614, I615, I616) -> f12#(I617, I618, I619, I620, I589, I590, I621, I622, I623, I624, I625, I626, I627, I628, I629, I630, I631, I632, I633, I634, I635, I636, I637, I638, I639, I640, I641, I642, I643, I644, I645, I646) [I647 <= 0 /\ 0 <= I588 - 1 /\ I648 <= I649 - 1 /\ -1 <= I649 - 1 /\ I619 <= 0 /\ I650 <= I588 - 1 /\ 9 <= I585 - 1 /\ 2 <= I586 - 1 /\ 7 <= I617 - 1 /\ 4 <= I618 - 1 /\ I589 + 5 <= I585 /\ I590 + 3 <= I585 /\ I591 + 3 <= I586] 4.55/4.58 f11#(I651, I652, I653, I654, I655, I656, I657, I658, I659, I660, I661, I662, I663, I664, I665, I666, I667, I668, I669, I670, I671, I672, I673, I674, I675, I676, I677, I678, I679, I680, I681, I682) -> f10#(I683, I684, I685, I686, I656, I657, I687, I688, I689, I690, I691, I692, I693, I694, I695, I696, I697, I698, I699, I700, I701, I702, I703, I704, I705, I706, I707, I708, I709, I710, I711, I712) [I656 + 5 <= I651 /\ I657 + 3 <= I651 /\ I655 + 7 <= I651 /\ I654 + 7 <= I651 /\ 2 <= I684 - 1 /\ 7 <= I683 - 1 /\ 6 <= I651 - 1 /\ I686 <= I653 - 1 /\ -1 <= I653 - 1 /\ -1 <= I652 - 1 /\ I685 <= I652 - 1] 4.55/4.58 f9#(I713, I714, I715, I716, I717, I718, I719, I720, I721, I722, I723, I724, I725, I726, I727, I728, I729, I730, I731, I732, I733, I734, I735, I736, I737, I738, I739, I740, I741, I742, I743, I744) -> f10#(I745, I746, I747, I748, I749, I750, I751, I752, I753, I754, I755, I756, I757, I758, I759, I760, I761, I762, I763, I764, I765, I766, I767, I768, I769, I770, I771, I772, I773, I774, I775, I776) [-1 <= I777 - 1 /\ 0 <= I714 - 1 /\ -1 <= I778 - 1 /\ I747 <= I778 - 1 /\ -1 <= I779 - 1 /\ I748 <= I779 - 1 /\ 0 <= I713 - 1 /\ 7 <= I745 - 1 /\ 2 <= I746 - 1] 4.55/4.58 f7#(I780, I781, I782, I783, I784, I785, I786, I787, I788, I789, I790, I791, I792, I793, I794, I795, I796, I797, I798, I799, I800, I801, I802, I803, I804, I805, I806, I807, I808, I809, I810, I811) -> f8#(I780, I812, 0, 0, I782, I813, I814, 0, 0, 0, I815, I816, I817, I818, I782, I783, I783, I819, I784, I820, I821, I785, I786, I822, I823, I824, I825, I826, I827, I828, I829, I830) [I813 = I814 /\ I785 + 5 <= I781 /\ I786 + 3 <= I781 /\ 9 <= I812 - 1 /\ 9 <= I781 - 1] 4.55/4.58 R = 4.55/4.58 init(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18, x19, x20, x21, x22, x23, x24, x25, x26, x27, x28, x29, x30, x31, x32) -> f9(rnd1, rnd2, rnd3, rnd4, rnd5, rnd6, rnd7, rnd8, rnd9, rnd10, rnd11, rnd12, rnd13, rnd14, rnd15, rnd16, rnd17, rnd18, rnd19, rnd20, rnd21, rnd22, rnd23, rnd24, rnd25, rnd26, rnd27, rnd28, rnd29, rnd30, rnd31, rnd32) 4.55/4.58 f14(I0, I1, I2, I3, I4, I5, I6, I7, I8, I9, I10, I11, I12, I13, I14, I15, I16, I17, I18, I19, I20, I21, I22, I23, I24, I25, I26, I27, I28, I29, I30, I31) -> f14(I32, I1 - 1, 0, 1, 1, I33, I34, I7, I35, I9, I36, I11, 0, I37, 2, I38, I39, I40, I41, I19 + 1, I42, I43, I44, I23 + 1, I24 + 1, I45, I46, I47, I48, I49, I50, I51) [0 <= I1 - 1 /\ -1 <= y1 - 1 /\ 0 <= I5 - 1 /\ 0 <= I2 - 1 /\ -1 <= I19 - 1 /\ I19 <= y1 - 1 /\ 0 <= I9 - 1 /\ 0 <= I11 - 1 /\ -1 <= y2 - 1 /\ 0 <= I18 - 1 /\ 0 <= I17 - 1 /\ 0 <= I16 - 1 /\ 0 <= I7 - 1 /\ -1 <= I24 - 1 /\ -1 <= I23 - 1 /\ 11 <= I0 - 1 /\ 13 <= I32 - 1 /\ I20 + 9 <= I0 /\ I21 + 9 <= I0 /\ I22 + 9 <= I0 /\ I24 + 3 <= I0 /\ I23 + 5 <= I0 /\ I7 = I8 /\ I9 = I10 /\ I11 = I12 /\ I6 = I15] 4.55/4.58 f14(I52, I53, I54, I55, I56, I57, I58, I59, I60, I61, I62, I63, I64, I65, I66, I67, I68, I69, I70, I71, I72, I73, I74, I75, I76, I77, I78, I79, I80, I81, I82, I83) -> f14(I84, I53 - 1, I54, I85, I86, I57, I58, I59, I87, I61, I88, I63, I89, I90, I91, I92, I93, I94, I95, I71 + 1, I96, I97, I98, I75 + 1, I76 + 1, I99, I100, I101, I102, I103, I104, I105) [0 <= I53 - 1 /\ -1 <= I106 - 1 /\ 0 <= I57 - 1 /\ 0 <= I54 - 1 /\ -1 <= I71 - 1 /\ I71 <= I106 - 1 /\ 0 <= I61 - 1 /\ 0 <= I55 - 1 /\ 0 <= I64 - 1 /\ 0 <= I62 - 1 /\ 0 <= I63 - 1 /\ -1 <= I107 - 1 /\ 0 <= I60 - 1 /\ 0 <= I56 - 1 /\ 0 <= I70 - 1 /\ 0 <= I65 - 1 /\ 0 <= I69 - 1 /\ 0 <= I68 - 1 /\ 0 <= I66 - 1 /\ 0 <= I67 - 1 /\ -1 <= I76 - 1 /\ -1 <= I75 - 1 /\ 9 <= I52 - 1 /\ 9 <= I84 - 1 /\ I72 + 9 <= I52 /\ I73 + 9 <= I52 /\ I74 + 9 <= I52 /\ I76 + 3 <= I52 /\ I75 + 5 <= I52] 4.55/4.58 f8(I108, I109, I110, I111, I112, I113, I114, I115, I116, I117, I118, I119, I120, I121, I122, I123, I124, I125, I126, I127, I128, I129, I130, I131, I132, I133, I134, I135, I136, I137, I138, I139) -> f14(I140, I108, I120, I118, I114, I119, I113, I141, I110, I121, I112, 0, I111, I115, I116, I117, I122, I123, I124, I126, I142, I143, I144, I129, I130, I145, I146, I147, I148, I149, I150, I151) [I129 + 5 <= I109 /\ I130 + 3 <= I109 /\ I128 + 9 <= I109 /\ I127 + 9 <= I109 /\ 11 <= I140 - 1 /\ 11 <= I109 - 1] 4.55/4.58 f9(I152, I153, I154, I155, I156, I157, I158, I159, I160, I161, I162, I163, I164, I165, I166, I167, I168, I169, I170, I171, I172, I173, I174, I175, I176, I177, I178, I179, I180, I181, I182, I183) -> f7(I184, I185, I186, I187, 1, 0, 0, I188, I189, I190, I191, I192, I193, I194, I195, I196, I197, I198, I199, I200, I201, I202, I203, I204, I205, I206, I207, I208, I209, I210, I211, I212) [7 <= I185 - 1 /\ 0 <= I152 - 1 /\ I185 - 7 <= I152 /\ 0 <= I153 - 1 /\ -1 <= I184 - 1] 4.55/4.58 f12(I213, I214, I215, I216, I217, I218, I219, I220, I221, I222, I223, I224, I225, I226, I227, I228, I229, I230, I231, I232, I233, I234, I235, I236, I237, I238, I239, I240, I241, I242, I243, I244) -> f5(I245, I246, I247, I248, I249, I250, I251, I252, I253, I254, I216, I255, I256, I257, I217, I218, I219, I220, I258, I259, I260, I261, I262, I263, I264, I265, I266, I267, I268, I269, I270, I271) [I259 + 4 <= I214 /\ I260 + 4 <= I214 /\ I258 + 4 <= I214 /\ I220 + 2 <= I214 /\ I267 + 6 <= I214 /\ I266 + 6 <= I214 /\ I265 + 6 <= I214 /\ I219 + 4 <= I214 /\ I218 + 3 <= I213 /\ I217 + 5 <= I213 /\ I257 + 9 <= I213 /\ I256 + 9 <= I213 /\ I255 + 9 <= I213 /\ I216 + 7 <= I213 /\ I254 + 11 <= I213 /\ I253 + 11 <= I213 /\ I252 + 11 <= I213 /\ I251 + 9 <= I213 /\ 4 <= I249 - 1 /\ 0 <= I248 - 1 /\ 4 <= I247 - 1 /\ 9 <= I246 - 1 /\ 0 <= I245 - 1 /\ 4 <= I214 - 1 /\ 9 <= I213 - 1 /\ I247 <= I214 /\ I246 <= I213 /\ I245 + 4 <= I214 /\ I245 + 9 <= I213] 4.55/4.58 f12(I272, I273, I274, I275, I276, I277, I278, I279, I280, I281, I282, I283, I284, I285, I286, I287, I288, I289, I290, I291, I292, I293, I294, I295, I296, I297, I298, I299, I300, I301, I302, I303) -> f3(I304, I305, I306, I307, I308, I309, I274, I310, I311, I275, I312, I313, I314, I276, I277, I315, I278, I316, I317, I318, I279, I319, I320, I321, I322, I323, I324, I325, I326, I327, I328, I329) [I320 + 4 <= I273 /\ I321 + 4 <= I273 /\ I319 + 4 <= I273 /\ I279 + 2 <= I273 /\ I318 + 6 <= I273 /\ I317 + 6 <= I273 /\ I316 + 6 <= I273 /\ I278 + 4 <= I273 /\ I315 + 5 <= I273 /\ I277 + 3 <= I272 /\ I276 + 5 <= I272 /\ I314 + 9 <= I272 /\ I313 + 9 <= I272 /\ I312 + 9 <= I272 /\ I275 + 7 <= I272 /\ I311 + 8 <= I272 /\ 2 <= I308 - 1 /\ 0 <= I307 - 1 /\ 4 <= I306 - 1 /\ 7 <= I305 - 1 /\ 0 <= I304 - 1 /\ 4 <= I273 - 1 /\ 7 <= I272 - 1 /\ I306 <= I273 /\ I305 <= I272 /\ I304 + 4 <= I273 /\ 0 <= I274 - 1 /\ I304 + 7 <= I272] 4.55/4.58 f13(I330, I331, I332, I333, I334, I335, I336, I337, I338, I339, I340, I341, I342, I343, I344, I345, I346, I347, I348, I349, I350, I351, I352, I353, I354, I355, I356, I357, I358, I359, I360, I361) -> f1(I362, I363, I364, I365, I366, I367, I368, I369, I370, I371, I372, I373, I374, I333, I334, I375, I376, I377, I335, I378, I379, I380, I381, I382, I383, I336, I337, I384, I385, I386, I387, I388) [I385 + 4 <= I332 /\ I386 + 4 <= I332 /\ I384 + 4 <= I332 /\ I337 + 2 <= I332 /\ I336 + 3 <= I332 /\ I383 + 2 <= I331 /\ I382 + 2 <= I331 /\ I381 + 2 <= I331 /\ I380 + 4 <= I330 /\ I379 + 4 <= I330 /\ I378 + 4 <= I330 /\ I335 + 2 <= I330 /\ I377 + 6 <= I330 /\ I376 + 6 <= I330 /\ I375 + 6 <= I330 /\ I334 + 4 <= I330 /\ I333 + 5 <= I330 /\ 2 <= I366 - 1 /\ 0 <= I365 - 1 /\ 4 <= I364 - 1 /\ 5 <= I363 - 1 /\ 0 <= I362 - 1 /\ 2 <= I332 - 1 /\ 0 <= I331 - 1 /\ 4 <= I330 - 1 /\ I366 <= I332 /\ I365 <= I331 /\ I364 <= I330 /\ I362 + 2 <= I332 /\ I362 <= I331 /\ I362 + 4 <= I330] 4.55/4.58 f10(I389, I390, I391, I392, I393, I394, I395, I396, I397, I398, I399, I400, I401, I402, I403, I404, I405, I406, I407, I408, I409, I410, I411, I412, I413, I414, I415, I416, I417, I418, I419, I420) -> f13(I421, I422, I423, I424, I425, I426, I427, I428, I429, I430, I431, I432, I433, I434, I435, I436, I437, I438, I439, I440, I441, I442, I443, I444, I445, I446, I447, I448, I449, I450, I451, I452) [0 <= I392 - 1 /\ 0 <= I453 - 1 /\ 0 <= I454 - 1 /\ y3 <= I453 - 1 /\ I453 <= I392 - 1 /\ 9 <= I389 - 1 /\ 2 <= I390 - 1 /\ 4 <= I421 - 1 /\ -1 <= I422 - 1 /\ 2 <= I423 - 1 /\ I393 + 5 <= I389 /\ I394 + 3 <= I389 /\ I395 + 3 <= I390] 4.55/4.58 f10(I455, I456, I457, I458, I459, I460, I461, I462, I463, I464, I465, I466, I467, I468, I469, I470, I471, I472, I473, I474, I475, I476, I477, I478, I479, I480, I481, I482, I483, I484, I485, I486) -> f12(I487, I488, I489, I490, I459, I460, I491, I492, I493, I494, I495, I496, I497, I498, I499, I500, I501, I502, I503, I504, I505, I506, I507, I508, I509, I510, I511, I512, I513, I514, I515, I516) [I517 <= -1 /\ 0 <= I458 - 1 /\ I518 <= -1 /\ I519 <= I458 - 1 /\ I489 <= 0 /\ 0 <= I457 - 1 /\ 9 <= I455 - 1 /\ 2 <= I456 - 1 /\ 7 <= I487 - 1 /\ 4 <= I488 - 1 /\ I459 + 5 <= I455 /\ I460 + 3 <= I455 /\ I461 + 3 <= I456] 4.55/4.58 f10(I520, I521, I522, I523, I524, I525, I526, I527, I528, I529, I530, I531, I532, I533, I534, I535, I536, I537, I538, I539, I540, I541, I542, I543, I544, I545, I546, I547, I548, I549, I550, I551) -> f12(I552, I553, I554, I555, I524, I525, I556, I557, I558, I559, I560, I561, I562, I563, I564, I565, I566, I567, I568, I569, I570, I571, I572, I573, I574, I575, I576, I577, I578, I579, I580, I581) [I582 <= 0 /\ 0 <= I523 - 1 /\ I583 <= I584 - 1 /\ -1 <= I584 - 1 /\ y4 <= I523 - 1 /\ 0 <= I582 - 1 /\ I554 <= 0 /\ 9 <= I520 - 1 /\ 2 <= I521 - 1 /\ 7 <= I552 - 1 /\ 4 <= I553 - 1 /\ I524 + 5 <= I520 /\ I525 + 3 <= I520 /\ I526 + 3 <= I521] 4.55/4.58 f10(I585, I586, I587, I588, I589, I590, I591, I592, I593, I594, I595, I596, I597, I598, I599, I600, I601, I602, I603, I604, I605, I606, I607, I608, I609, I610, I611, I612, I613, I614, I615, I616) -> f12(I617, I618, I619, I620, I589, I590, I621, I622, I623, I624, I625, I626, I627, I628, I629, I630, I631, I632, I633, I634, I635, I636, I637, I638, I639, I640, I641, I642, I643, I644, I645, I646) [I647 <= 0 /\ 0 <= I588 - 1 /\ I648 <= I649 - 1 /\ -1 <= I649 - 1 /\ I619 <= 0 /\ I650 <= I588 - 1 /\ 9 <= I585 - 1 /\ 2 <= I586 - 1 /\ 7 <= I617 - 1 /\ 4 <= I618 - 1 /\ I589 + 5 <= I585 /\ I590 + 3 <= I585 /\ I591 + 3 <= I586] 4.55/4.58 f11(I651, I652, I653, I654, I655, I656, I657, I658, I659, I660, I661, I662, I663, I664, I665, I666, I667, I668, I669, I670, I671, I672, I673, I674, I675, I676, I677, I678, I679, I680, I681, I682) -> f10(I683, I684, I685, I686, I656, I657, I687, I688, I689, I690, I691, I692, I693, I694, I695, I696, I697, I698, I699, I700, I701, I702, I703, I704, I705, I706, I707, I708, I709, I710, I711, I712) [I656 + 5 <= I651 /\ I657 + 3 <= I651 /\ I655 + 7 <= I651 /\ I654 + 7 <= I651 /\ 2 <= I684 - 1 /\ 7 <= I683 - 1 /\ 6 <= I651 - 1 /\ I686 <= I653 - 1 /\ -1 <= I653 - 1 /\ -1 <= I652 - 1 /\ I685 <= I652 - 1] 4.55/4.58 f9(I713, I714, I715, I716, I717, I718, I719, I720, I721, I722, I723, I724, I725, I726, I727, I728, I729, I730, I731, I732, I733, I734, I735, I736, I737, I738, I739, I740, I741, I742, I743, I744) -> f10(I745, I746, I747, I748, I749, I750, I751, I752, I753, I754, I755, I756, I757, I758, I759, I760, I761, I762, I763, I764, I765, I766, I767, I768, I769, I770, I771, I772, I773, I774, I775, I776) [-1 <= I777 - 1 /\ 0 <= I714 - 1 /\ -1 <= I778 - 1 /\ I747 <= I778 - 1 /\ -1 <= I779 - 1 /\ I748 <= I779 - 1 /\ 0 <= I713 - 1 /\ 7 <= I745 - 1 /\ 2 <= I746 - 1] 4.55/4.58 f7(I780, I781, I782, I783, I784, I785, I786, I787, I788, I789, I790, I791, I792, I793, I794, I795, I796, I797, I798, I799, I800, I801, I802, I803, I804, I805, I806, I807, I808, I809, I810, I811) -> f8(I780, I812, 0, 0, I782, I813, I814, 0, 0, 0, I815, I816, I817, I818, I782, I783, I783, I819, I784, I820, I821, I785, I786, I822, I823, I824, I825, I826, I827, I828, I829, I830) [I813 = I814 /\ I785 + 5 <= I781 /\ I786 + 3 <= I781 /\ 9 <= I812 - 1 /\ 9 <= I781 - 1] 4.55/4.58 f5(I831, I832, I833, I834, I835, I836, I837, I838, I839, I840, I841, I842, I843, I844, I845, I846, I847, I848, I849, I850, I851, I852, I853, I854, I855, I856, I857, I858, I859, I860, I861, I862) -> f6(I863, I864, I865, I866, I867, I868, I869, I870, I871, I872, I873, I874, I875, I876, I877, I878, I879, I880, I881, I882, I883, I884, I885, I886, I887, I888, I889, I890, I891, I892, I893, I894) [I861 + 4 <= I835 /\ I862 + 4 <= I835 /\ I860 + 4 <= I835 /\ I859 + 2 <= I835 /\ I858 + 6 <= I835 /\ I857 + 6 <= I835 /\ I856 + 6 <= I835 /\ I855 + 4 <= I835 /\ I854 + 2 <= I834 /\ I853 + 2 <= I834 /\ I852 + 2 <= I834 /\ I851 + 4 <= I833 /\ I850 + 4 <= I833 /\ I849 + 4 <= I833 /\ I848 + 2 <= I833 /\ I858 + 6 <= I833 /\ I857 + 6 <= I833 /\ I856 + 6 <= I833 /\ I847 + 4 <= I833 /\ I846 + 3 <= I832 /\ I845 + 5 <= I832 /\ I844 + 9 <= I832 /\ I843 + 9 <= I832 /\ I842 + 9 <= I832 /\ I841 + 7 <= I832 /\ I840 + 11 <= I832 /\ I839 + 11 <= I832 /\ I838 + 11 <= I832 /\ I837 + 9 <= I832 /\ 4 <= I867 - 1 /\ 0 <= I866 - 1 /\ 4 <= I865 - 1 /\ 9 <= I864 - 1 /\ 0 <= I863 - 1 /\ 4 <= I835 - 1 /\ 0 <= I834 - 1 /\ 4 <= I833 - 1 /\ 9 <= I832 - 1 /\ 0 <= I831 - 1 /\ I867 <= I835 /\ I866 <= I834 /\ I865 <= I833 /\ I864 <= I832 /\ I863 + 4 <= I835 /\ I863 <= I834 /\ I863 + 4 <= I833 /\ I863 + 9 <= I832 /\ I863 <= I831] 4.55/4.58 f3(I895, I896, I897, I898, I899, I900, I901, I902, I903, I904, I905, I906, I907, I908, I909, I910, I911, I912, I913, I914, I915, I916, I917, I918, I919, I920, I921, I922, I923, I924, I925, I926) -> f4(I927, I928, I929, I930, I931, I900, I901, I932, I933, I934, I935, I936, I937, I938, I939, I940, I941, I942, I943, I944, I945, I946, I947, I948, I949, I950, I951, I952, I953, I954, I955, I956) [I925 + 4 <= I899 /\ I926 + 4 <= I899 /\ I924 + 4 <= I899 /\ I923 + 2 <= I899 /\ I922 + 3 <= I899 /\ I921 + 2 <= I898 /\ I920 + 2 <= I898 /\ I919 + 2 <= I898 /\ I918 + 4 <= I897 /\ I917 + 4 <= I897 /\ I916 + 4 <= I897 /\ I915 + 2 <= I897 /\ I914 + 6 <= I897 /\ I913 + 6 <= I897 /\ I912 + 6 <= I897 /\ I911 + 4 <= I897 /\ I910 + 5 <= I897 /\ I909 + 3 <= I896 /\ I908 + 5 <= I896 /\ I907 + 9 <= I896 /\ I906 + 9 <= I896 /\ I905 + 9 <= I896 /\ I904 + 7 <= I896 /\ I903 + 8 <= I896 /\ 2 <= I931 - 1 /\ 0 <= I930 - 1 /\ 4 <= I929 - 1 /\ 7 <= I928 - 1 /\ 0 <= I927 - 1 /\ 2 <= I899 - 1 /\ 0 <= I898 - 1 /\ 4 <= I897 - 1 /\ 7 <= I896 - 1 /\ 0 <= I895 - 1 /\ I931 <= I899 /\ I930 <= I898 /\ I929 <= I897 /\ I928 <= I896 /\ I927 + 2 <= I899 /\ I927 <= I898 /\ I927 + 4 <= I897 /\ I927 + 7 <= I896 /\ I927 <= I895] 4.55/4.58 f1(I957, I958, I959, I960, I961, I962, I963, I964, I965, I966, I967, I968, I969, I970, I971, I972, I973, I974, I975, I976, I977, I978, I979, I980, I981, I982, I983, I984, I985, I986, I987, I988) -> f2(I989, I990, I991, I992, I993, I962, I963, I964, I965, I994, I995, I996, I997, I998, I999, I1000, I1001, I1002, I1003, I1004, I1005, I1006, I1007, I1008, I1009, I1010, I1011, I1012, I1013, I1014, I1015, I1016) [I985 + 4 <= I961 /\ I986 + 4 <= I961 /\ I984 + 4 <= I961 /\ I983 + 2 <= I961 /\ I982 + 3 <= I961 /\ I981 + 2 <= I960 /\ I980 + 2 <= I960 /\ I979 + 2 <= I960 /\ I978 + 4 <= I959 /\ I977 + 4 <= I959 /\ I976 + 4 <= I959 /\ I975 + 2 <= I959 /\ I974 + 6 <= I959 /\ I973 + 6 <= I959 /\ I972 + 6 <= I959 /\ I971 + 4 <= I959 /\ I970 + 5 <= I959 /\ I969 + 3 <= I958 /\ I968 + 5 <= I958 /\ I967 + 6 <= I958 /\ 2 <= I993 - 1 /\ 0 <= I992 - 1 /\ 4 <= I991 - 1 /\ 5 <= I990 - 1 /\ 0 <= I989 - 1 /\ 2 <= I961 - 1 /\ 0 <= I960 - 1 /\ 4 <= I959 - 1 /\ 5 <= I958 - 1 /\ 0 <= I957 - 1 /\ I993 <= I961 /\ I992 <= I960 /\ I991 <= I959 /\ I990 <= I958 /\ I989 + 2 <= I961 /\ I989 <= I960 /\ I989 + 4 <= I959 /\ I989 + 5 <= I958 /\ I989 <= I957] 4.55/4.58 4.55/4.58 The dependency graph for this problem is: 4.55/4.58 0 -> 4, 13 4.55/4.58 1 -> 4.55/4.58 2 -> 1, 2 4.55/4.58 3 -> 4.55/4.58 4 -> 14 4.55/4.58 5 -> 4.55/4.58 6 -> 4.55/4.58 7 -> 4.55/4.58 8 -> 7 4.55/4.58 9 -> 5 4.55/4.58 10 -> 4.55/4.58 11 -> 5 4.55/4.58 12 -> 8, 9, 11 4.55/4.58 13 -> 8, 9, 11 4.55/4.58 14 -> 3 4.55/4.58 Where: 4.55/4.58 0) init#(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18, x19, x20, x21, x22, x23, x24, x25, x26, x27, x28, x29, x30, x31, x32) -> f9#(rnd1, rnd2, rnd3, rnd4, rnd5, rnd6, rnd7, rnd8, rnd9, rnd10, rnd11, rnd12, rnd13, rnd14, rnd15, rnd16, rnd17, rnd18, rnd19, rnd20, rnd21, rnd22, rnd23, rnd24, rnd25, rnd26, rnd27, rnd28, rnd29, rnd30, rnd31, rnd32) 4.55/4.58 1) f14#(I0, I1, I2, I3, I4, I5, I6, I7, I8, I9, I10, I11, I12, I13, I14, I15, I16, I17, I18, I19, I20, I21, I22, I23, I24, I25, I26, I27, I28, I29, I30, I31) -> f14#(I32, I1 - 1, 0, 1, 1, I33, I34, I7, I35, I9, I36, I11, 0, I37, 2, I38, I39, I40, I41, I19 + 1, I42, I43, I44, I23 + 1, I24 + 1, I45, I46, I47, I48, I49, I50, I51) [0 <= I1 - 1 /\ -1 <= y1 - 1 /\ 0 <= I5 - 1 /\ 0 <= I2 - 1 /\ -1 <= I19 - 1 /\ I19 <= y1 - 1 /\ 0 <= I9 - 1 /\ 0 <= I11 - 1 /\ -1 <= y2 - 1 /\ 0 <= I18 - 1 /\ 0 <= I17 - 1 /\ 0 <= I16 - 1 /\ 0 <= I7 - 1 /\ -1 <= I24 - 1 /\ -1 <= I23 - 1 /\ 11 <= I0 - 1 /\ 13 <= I32 - 1 /\ I20 + 9 <= I0 /\ I21 + 9 <= I0 /\ I22 + 9 <= I0 /\ I24 + 3 <= I0 /\ I23 + 5 <= I0 /\ I7 = I8 /\ I9 = I10 /\ I11 = I12 /\ I6 = I15] 4.55/4.58 2) f14#(I52, I53, I54, I55, I56, I57, I58, I59, I60, I61, I62, I63, I64, I65, I66, I67, I68, I69, I70, I71, I72, I73, I74, I75, I76, I77, I78, I79, I80, I81, I82, I83) -> f14#(I84, I53 - 1, I54, I85, I86, I57, I58, I59, I87, I61, I88, I63, I89, I90, I91, I92, I93, I94, I95, I71 + 1, I96, I97, I98, I75 + 1, I76 + 1, I99, I100, I101, I102, I103, I104, I105) [0 <= I53 - 1 /\ -1 <= I106 - 1 /\ 0 <= I57 - 1 /\ 0 <= I54 - 1 /\ -1 <= I71 - 1 /\ I71 <= I106 - 1 /\ 0 <= I61 - 1 /\ 0 <= I55 - 1 /\ 0 <= I64 - 1 /\ 0 <= I62 - 1 /\ 0 <= I63 - 1 /\ -1 <= I107 - 1 /\ 0 <= I60 - 1 /\ 0 <= I56 - 1 /\ 0 <= I70 - 1 /\ 0 <= I65 - 1 /\ 0 <= I69 - 1 /\ 0 <= I68 - 1 /\ 0 <= I66 - 1 /\ 0 <= I67 - 1 /\ -1 <= I76 - 1 /\ -1 <= I75 - 1 /\ 9 <= I52 - 1 /\ 9 <= I84 - 1 /\ I72 + 9 <= I52 /\ I73 + 9 <= I52 /\ I74 + 9 <= I52 /\ I76 + 3 <= I52 /\ I75 + 5 <= I52] 4.55/4.58 3) f8#(I108, I109, I110, I111, I112, I113, I114, I115, I116, I117, I118, I119, I120, I121, I122, I123, I124, I125, I126, I127, I128, I129, I130, I131, I132, I133, I134, I135, I136, I137, I138, I139) -> f14#(I140, I108, I120, I118, I114, I119, I113, I141, I110, I121, I112, 0, I111, I115, I116, I117, I122, I123, I124, I126, I142, I143, I144, I129, I130, I145, I146, I147, I148, I149, I150, I151) [I129 + 5 <= I109 /\ I130 + 3 <= I109 /\ I128 + 9 <= I109 /\ I127 + 9 <= I109 /\ 11 <= I140 - 1 /\ 11 <= I109 - 1] 4.55/4.58 4) f9#(I152, I153, I154, I155, I156, I157, I158, I159, I160, I161, I162, I163, I164, I165, I166, I167, I168, I169, I170, I171, I172, I173, I174, I175, I176, I177, I178, I179, I180, I181, I182, I183) -> f7#(I184, I185, I186, I187, 1, 0, 0, I188, I189, I190, I191, I192, I193, I194, I195, I196, I197, I198, I199, I200, I201, I202, I203, I204, I205, I206, I207, I208, I209, I210, I211, I212) [7 <= I185 - 1 /\ 0 <= I152 - 1 /\ I185 - 7 <= I152 /\ 0 <= I153 - 1 /\ -1 <= I184 - 1] 4.55/4.58 5) f12#(I213, I214, I215, I216, I217, I218, I219, I220, I221, I222, I223, I224, I225, I226, I227, I228, I229, I230, I231, I232, I233, I234, I235, I236, I237, I238, I239, I240, I241, I242, I243, I244) -> f5#(I245, I246, I247, I248, I249, I250, I251, I252, I253, I254, I216, I255, I256, I257, I217, I218, I219, I220, I258, I259, I260, I261, I262, I263, I264, I265, I266, I267, I268, I269, I270, I271) [I259 + 4 <= I214 /\ I260 + 4 <= I214 /\ I258 + 4 <= I214 /\ I220 + 2 <= I214 /\ I267 + 6 <= I214 /\ I266 + 6 <= I214 /\ I265 + 6 <= I214 /\ I219 + 4 <= I214 /\ I218 + 3 <= I213 /\ I217 + 5 <= I213 /\ I257 + 9 <= I213 /\ I256 + 9 <= I213 /\ I255 + 9 <= I213 /\ I216 + 7 <= I213 /\ I254 + 11 <= I213 /\ I253 + 11 <= I213 /\ I252 + 11 <= I213 /\ I251 + 9 <= I213 /\ 4 <= I249 - 1 /\ 0 <= I248 - 1 /\ 4 <= I247 - 1 /\ 9 <= I246 - 1 /\ 0 <= I245 - 1 /\ 4 <= I214 - 1 /\ 9 <= I213 - 1 /\ I247 <= I214 /\ I246 <= I213 /\ I245 + 4 <= I214 /\ I245 + 9 <= I213] 4.55/4.58 6) f12#(I272, I273, I274, I275, I276, I277, I278, I279, I280, I281, I282, I283, I284, I285, I286, I287, I288, I289, I290, I291, I292, I293, I294, I295, I296, I297, I298, I299, I300, I301, I302, I303) -> f3#(I304, I305, I306, I307, I308, I309, I274, I310, I311, I275, I312, I313, I314, I276, I277, I315, I278, I316, I317, I318, I279, I319, I320, I321, I322, I323, I324, I325, I326, I327, I328, I329) [I320 + 4 <= I273 /\ I321 + 4 <= I273 /\ I319 + 4 <= I273 /\ I279 + 2 <= I273 /\ I318 + 6 <= I273 /\ I317 + 6 <= I273 /\ I316 + 6 <= I273 /\ I278 + 4 <= I273 /\ I315 + 5 <= I273 /\ I277 + 3 <= I272 /\ I276 + 5 <= I272 /\ I314 + 9 <= I272 /\ I313 + 9 <= I272 /\ I312 + 9 <= I272 /\ I275 + 7 <= I272 /\ I311 + 8 <= I272 /\ 2 <= I308 - 1 /\ 0 <= I307 - 1 /\ 4 <= I306 - 1 /\ 7 <= I305 - 1 /\ 0 <= I304 - 1 /\ 4 <= I273 - 1 /\ 7 <= I272 - 1 /\ I306 <= I273 /\ I305 <= I272 /\ I304 + 4 <= I273 /\ 0 <= I274 - 1 /\ I304 + 7 <= I272] 4.55/4.58 7) f13#(I330, I331, I332, I333, I334, I335, I336, I337, I338, I339, I340, I341, I342, I343, I344, I345, I346, I347, I348, I349, I350, I351, I352, I353, I354, I355, I356, I357, I358, I359, I360, I361) -> f1#(I362, I363, I364, I365, I366, I367, I368, I369, I370, I371, I372, I373, I374, I333, I334, I375, I376, I377, I335, I378, I379, I380, I381, I382, I383, I336, I337, I384, I385, I386, I387, I388) [I385 + 4 <= I332 /\ I386 + 4 <= I332 /\ I384 + 4 <= I332 /\ I337 + 2 <= I332 /\ I336 + 3 <= I332 /\ I383 + 2 <= I331 /\ I382 + 2 <= I331 /\ I381 + 2 <= I331 /\ I380 + 4 <= I330 /\ I379 + 4 <= I330 /\ I378 + 4 <= I330 /\ I335 + 2 <= I330 /\ I377 + 6 <= I330 /\ I376 + 6 <= I330 /\ I375 + 6 <= I330 /\ I334 + 4 <= I330 /\ I333 + 5 <= I330 /\ 2 <= I366 - 1 /\ 0 <= I365 - 1 /\ 4 <= I364 - 1 /\ 5 <= I363 - 1 /\ 0 <= I362 - 1 /\ 2 <= I332 - 1 /\ 0 <= I331 - 1 /\ 4 <= I330 - 1 /\ I366 <= I332 /\ I365 <= I331 /\ I364 <= I330 /\ I362 + 2 <= I332 /\ I362 <= I331 /\ I362 + 4 <= I330] 4.55/4.58 8) f10#(I389, I390, I391, I392, I393, I394, I395, I396, I397, I398, I399, I400, I401, I402, I403, I404, I405, I406, I407, I408, I409, I410, I411, I412, I413, I414, I415, I416, I417, I418, I419, I420) -> f13#(I421, I422, I423, I424, I425, I426, I427, I428, I429, I430, I431, I432, I433, I434, I435, I436, I437, I438, I439, I440, I441, I442, I443, I444, I445, I446, I447, I448, I449, I450, I451, I452) [0 <= I392 - 1 /\ 0 <= I453 - 1 /\ 0 <= I454 - 1 /\ y3 <= I453 - 1 /\ I453 <= I392 - 1 /\ 9 <= I389 - 1 /\ 2 <= I390 - 1 /\ 4 <= I421 - 1 /\ -1 <= I422 - 1 /\ 2 <= I423 - 1 /\ I393 + 5 <= I389 /\ I394 + 3 <= I389 /\ I395 + 3 <= I390] 4.55/4.58 9) f10#(I455, I456, I457, I458, I459, I460, I461, I462, I463, I464, I465, I466, I467, I468, I469, I470, I471, I472, I473, I474, I475, I476, I477, I478, I479, I480, I481, I482, I483, I484, I485, I486) -> f12#(I487, I488, I489, I490, I459, I460, I491, I492, I493, I494, I495, I496, I497, I498, I499, I500, I501, I502, I503, I504, I505, I506, I507, I508, I509, I510, I511, I512, I513, I514, I515, I516) [I517 <= -1 /\ 0 <= I458 - 1 /\ I518 <= -1 /\ I519 <= I458 - 1 /\ I489 <= 0 /\ 0 <= I457 - 1 /\ 9 <= I455 - 1 /\ 2 <= I456 - 1 /\ 7 <= I487 - 1 /\ 4 <= I488 - 1 /\ I459 + 5 <= I455 /\ I460 + 3 <= I455 /\ I461 + 3 <= I456] 4.55/4.58 10) f10#(I520, I521, I522, I523, I524, I525, I526, I527, I528, I529, I530, I531, I532, I533, I534, I535, I536, I537, I538, I539, I540, I541, I542, I543, I544, I545, I546, I547, I548, I549, I550, I551) -> f12#(I552, I553, I554, I555, I524, I525, I556, I557, I558, I559, I560, I561, I562, I563, I564, I565, I566, I567, I568, I569, I570, I571, I572, I573, I574, I575, I576, I577, I578, I579, I580, I581) [I582 <= 0 /\ 0 <= I523 - 1 /\ I583 <= I584 - 1 /\ -1 <= I584 - 1 /\ y4 <= I523 - 1 /\ 0 <= I582 - 1 /\ I554 <= 0 /\ 9 <= I520 - 1 /\ 2 <= I521 - 1 /\ 7 <= I552 - 1 /\ 4 <= I553 - 1 /\ I524 + 5 <= I520 /\ I525 + 3 <= I520 /\ I526 + 3 <= I521] 4.55/4.58 11) f10#(I585, I586, I587, I588, I589, I590, I591, I592, I593, I594, I595, I596, I597, I598, I599, I600, I601, I602, I603, I604, I605, I606, I607, I608, I609, I610, I611, I612, I613, I614, I615, I616) -> f12#(I617, I618, I619, I620, I589, I590, I621, I622, I623, I624, I625, I626, I627, I628, I629, I630, I631, I632, I633, I634, I635, I636, I637, I638, I639, I640, I641, I642, I643, I644, I645, I646) [I647 <= 0 /\ 0 <= I588 - 1 /\ I648 <= I649 - 1 /\ -1 <= I649 - 1 /\ I619 <= 0 /\ I650 <= I588 - 1 /\ 9 <= I585 - 1 /\ 2 <= I586 - 1 /\ 7 <= I617 - 1 /\ 4 <= I618 - 1 /\ I589 + 5 <= I585 /\ I590 + 3 <= I585 /\ I591 + 3 <= I586] 4.55/4.58 12) f11#(I651, I652, I653, I654, I655, I656, I657, I658, I659, I660, I661, I662, I663, I664, I665, I666, I667, I668, I669, I670, I671, I672, I673, I674, I675, I676, I677, I678, I679, I680, I681, I682) -> f10#(I683, I684, I685, I686, I656, I657, I687, I688, I689, I690, I691, I692, I693, I694, I695, I696, I697, I698, I699, I700, I701, I702, I703, I704, I705, I706, I707, I708, I709, I710, I711, I712) [I656 + 5 <= I651 /\ I657 + 3 <= I651 /\ I655 + 7 <= I651 /\ I654 + 7 <= I651 /\ 2 <= I684 - 1 /\ 7 <= I683 - 1 /\ 6 <= I651 - 1 /\ I686 <= I653 - 1 /\ -1 <= I653 - 1 /\ -1 <= I652 - 1 /\ I685 <= I652 - 1] 4.55/4.58 13) f9#(I713, I714, I715, I716, I717, I718, I719, I720, I721, I722, I723, I724, I725, I726, I727, I728, I729, I730, I731, I732, I733, I734, I735, I736, I737, I738, I739, I740, I741, I742, I743, I744) -> f10#(I745, I746, I747, I748, I749, I750, I751, I752, I753, I754, I755, I756, I757, I758, I759, I760, I761, I762, I763, I764, I765, I766, I767, I768, I769, I770, I771, I772, I773, I774, I775, I776) [-1 <= I777 - 1 /\ 0 <= I714 - 1 /\ -1 <= I778 - 1 /\ I747 <= I778 - 1 /\ -1 <= I779 - 1 /\ I748 <= I779 - 1 /\ 0 <= I713 - 1 /\ 7 <= I745 - 1 /\ 2 <= I746 - 1] 4.55/4.58 14) f7#(I780, I781, I782, I783, I784, I785, I786, I787, I788, I789, I790, I791, I792, I793, I794, I795, I796, I797, I798, I799, I800, I801, I802, I803, I804, I805, I806, I807, I808, I809, I810, I811) -> f8#(I780, I812, 0, 0, I782, I813, I814, 0, 0, 0, I815, I816, I817, I818, I782, I783, I783, I819, I784, I820, I821, I785, I786, I822, I823, I824, I825, I826, I827, I828, I829, I830) [I813 = I814 /\ I785 + 5 <= I781 /\ I786 + 3 <= I781 /\ 9 <= I812 - 1 /\ 9 <= I781 - 1] 4.55/4.58 4.55/4.58 We have the following SCCs. 4.55/4.58 { 2 } 4.55/4.58 4.55/4.58 DP problem for innermost termination. 4.55/4.58 P = 4.55/4.58 f14#(I52, I53, I54, I55, I56, I57, I58, I59, I60, I61, I62, I63, I64, I65, I66, I67, I68, I69, I70, I71, I72, I73, I74, I75, I76, I77, I78, I79, I80, I81, I82, I83) -> f14#(I84, I53 - 1, I54, I85, I86, I57, I58, I59, I87, I61, I88, I63, I89, I90, I91, I92, I93, I94, I95, I71 + 1, I96, I97, I98, I75 + 1, I76 + 1, I99, I100, I101, I102, I103, I104, I105) [0 <= I53 - 1 /\ -1 <= I106 - 1 /\ 0 <= I57 - 1 /\ 0 <= I54 - 1 /\ -1 <= I71 - 1 /\ I71 <= I106 - 1 /\ 0 <= I61 - 1 /\ 0 <= I55 - 1 /\ 0 <= I64 - 1 /\ 0 <= I62 - 1 /\ 0 <= I63 - 1 /\ -1 <= I107 - 1 /\ 0 <= I60 - 1 /\ 0 <= I56 - 1 /\ 0 <= I70 - 1 /\ 0 <= I65 - 1 /\ 0 <= I69 - 1 /\ 0 <= I68 - 1 /\ 0 <= I66 - 1 /\ 0 <= I67 - 1 /\ -1 <= I76 - 1 /\ -1 <= I75 - 1 /\ 9 <= I52 - 1 /\ 9 <= I84 - 1 /\ I72 + 9 <= I52 /\ I73 + 9 <= I52 /\ I74 + 9 <= I52 /\ I76 + 3 <= I52 /\ I75 + 5 <= I52] 4.55/4.58 R = 4.55/4.58 init(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18, x19, x20, x21, x22, x23, x24, x25, x26, x27, x28, x29, x30, x31, x32) -> f9(rnd1, rnd2, rnd3, rnd4, rnd5, rnd6, rnd7, rnd8, rnd9, rnd10, rnd11, rnd12, rnd13, rnd14, rnd15, rnd16, rnd17, rnd18, rnd19, rnd20, rnd21, rnd22, rnd23, rnd24, rnd25, rnd26, rnd27, rnd28, rnd29, rnd30, rnd31, rnd32) 4.55/4.58 f14(I0, I1, I2, I3, I4, I5, I6, I7, I8, I9, I10, I11, I12, I13, I14, I15, I16, I17, I18, I19, I20, I21, I22, I23, I24, I25, I26, I27, I28, I29, I30, I31) -> f14(I32, I1 - 1, 0, 1, 1, I33, I34, I7, I35, I9, I36, I11, 0, I37, 2, I38, I39, I40, I41, I19 + 1, I42, I43, I44, I23 + 1, I24 + 1, I45, I46, I47, I48, I49, I50, I51) [0 <= I1 - 1 /\ -1 <= y1 - 1 /\ 0 <= I5 - 1 /\ 0 <= I2 - 1 /\ -1 <= I19 - 1 /\ I19 <= y1 - 1 /\ 0 <= I9 - 1 /\ 0 <= I11 - 1 /\ -1 <= y2 - 1 /\ 0 <= I18 - 1 /\ 0 <= I17 - 1 /\ 0 <= I16 - 1 /\ 0 <= I7 - 1 /\ -1 <= I24 - 1 /\ -1 <= I23 - 1 /\ 11 <= I0 - 1 /\ 13 <= I32 - 1 /\ I20 + 9 <= I0 /\ I21 + 9 <= I0 /\ I22 + 9 <= I0 /\ I24 + 3 <= I0 /\ I23 + 5 <= I0 /\ I7 = I8 /\ I9 = I10 /\ I11 = I12 /\ I6 = I15] 4.55/4.58 f14(I52, I53, I54, I55, I56, I57, I58, I59, I60, I61, I62, I63, I64, I65, I66, I67, I68, I69, I70, I71, I72, I73, I74, I75, I76, I77, I78, I79, I80, I81, I82, I83) -> f14(I84, I53 - 1, I54, I85, I86, I57, I58, I59, I87, I61, I88, I63, I89, I90, I91, I92, I93, I94, I95, I71 + 1, I96, I97, I98, I75 + 1, I76 + 1, I99, I100, I101, I102, I103, I104, I105) [0 <= I53 - 1 /\ -1 <= I106 - 1 /\ 0 <= I57 - 1 /\ 0 <= I54 - 1 /\ -1 <= I71 - 1 /\ I71 <= I106 - 1 /\ 0 <= I61 - 1 /\ 0 <= I55 - 1 /\ 0 <= I64 - 1 /\ 0 <= I62 - 1 /\ 0 <= I63 - 1 /\ -1 <= I107 - 1 /\ 0 <= I60 - 1 /\ 0 <= I56 - 1 /\ 0 <= I70 - 1 /\ 0 <= I65 - 1 /\ 0 <= I69 - 1 /\ 0 <= I68 - 1 /\ 0 <= I66 - 1 /\ 0 <= I67 - 1 /\ -1 <= I76 - 1 /\ -1 <= I75 - 1 /\ 9 <= I52 - 1 /\ 9 <= I84 - 1 /\ I72 + 9 <= I52 /\ I73 + 9 <= I52 /\ I74 + 9 <= I52 /\ I76 + 3 <= I52 /\ I75 + 5 <= I52] 4.55/4.58 f8(I108, I109, I110, I111, I112, I113, I114, I115, I116, I117, I118, I119, I120, I121, I122, I123, I124, I125, I126, I127, I128, I129, I130, I131, I132, I133, I134, I135, I136, I137, I138, I139) -> f14(I140, I108, I120, I118, I114, I119, I113, I141, I110, I121, I112, 0, I111, I115, I116, I117, I122, I123, I124, I126, I142, I143, I144, I129, I130, I145, I146, I147, I148, I149, I150, I151) [I129 + 5 <= I109 /\ I130 + 3 <= I109 /\ I128 + 9 <= I109 /\ I127 + 9 <= I109 /\ 11 <= I140 - 1 /\ 11 <= I109 - 1] 4.55/4.58 f9(I152, I153, I154, I155, I156, I157, I158, I159, I160, I161, I162, I163, I164, I165, I166, I167, I168, I169, I170, I171, I172, I173, I174, I175, I176, I177, I178, I179, I180, I181, I182, I183) -> f7(I184, I185, I186, I187, 1, 0, 0, I188, I189, I190, I191, I192, I193, I194, I195, I196, I197, I198, I199, I200, I201, I202, I203, I204, I205, I206, I207, I208, I209, I210, I211, I212) [7 <= I185 - 1 /\ 0 <= I152 - 1 /\ I185 - 7 <= I152 /\ 0 <= I153 - 1 /\ -1 <= I184 - 1] 4.55/4.58 f12(I213, I214, I215, I216, I217, I218, I219, I220, I221, I222, I223, I224, I225, I226, I227, I228, I229, I230, I231, I232, I233, I234, I235, I236, I237, I238, I239, I240, I241, I242, I243, I244) -> f5(I245, I246, I247, I248, I249, I250, I251, I252, I253, I254, I216, I255, I256, I257, I217, I218, I219, I220, I258, I259, I260, I261, I262, I263, I264, I265, I266, I267, I268, I269, I270, I271) [I259 + 4 <= I214 /\ I260 + 4 <= I214 /\ I258 + 4 <= I214 /\ I220 + 2 <= I214 /\ I267 + 6 <= I214 /\ I266 + 6 <= I214 /\ I265 + 6 <= I214 /\ I219 + 4 <= I214 /\ I218 + 3 <= I213 /\ I217 + 5 <= I213 /\ I257 + 9 <= I213 /\ I256 + 9 <= I213 /\ I255 + 9 <= I213 /\ I216 + 7 <= I213 /\ I254 + 11 <= I213 /\ I253 + 11 <= I213 /\ I252 + 11 <= I213 /\ I251 + 9 <= I213 /\ 4 <= I249 - 1 /\ 0 <= I248 - 1 /\ 4 <= I247 - 1 /\ 9 <= I246 - 1 /\ 0 <= I245 - 1 /\ 4 <= I214 - 1 /\ 9 <= I213 - 1 /\ I247 <= I214 /\ I246 <= I213 /\ I245 + 4 <= I214 /\ I245 + 9 <= I213] 4.55/4.58 f12(I272, I273, I274, I275, I276, I277, I278, I279, I280, I281, I282, I283, I284, I285, I286, I287, I288, I289, I290, I291, I292, I293, I294, I295, I296, I297, I298, I299, I300, I301, I302, I303) -> f3(I304, I305, I306, I307, I308, I309, I274, I310, I311, I275, I312, I313, I314, I276, I277, I315, I278, I316, I317, I318, I279, I319, I320, I321, I322, I323, I324, I325, I326, I327, I328, I329) [I320 + 4 <= I273 /\ I321 + 4 <= I273 /\ I319 + 4 <= I273 /\ I279 + 2 <= I273 /\ I318 + 6 <= I273 /\ I317 + 6 <= I273 /\ I316 + 6 <= I273 /\ I278 + 4 <= I273 /\ I315 + 5 <= I273 /\ I277 + 3 <= I272 /\ I276 + 5 <= I272 /\ I314 + 9 <= I272 /\ I313 + 9 <= I272 /\ I312 + 9 <= I272 /\ I275 + 7 <= I272 /\ I311 + 8 <= I272 /\ 2 <= I308 - 1 /\ 0 <= I307 - 1 /\ 4 <= I306 - 1 /\ 7 <= I305 - 1 /\ 0 <= I304 - 1 /\ 4 <= I273 - 1 /\ 7 <= I272 - 1 /\ I306 <= I273 /\ I305 <= I272 /\ I304 + 4 <= I273 /\ 0 <= I274 - 1 /\ I304 + 7 <= I272] 4.55/4.58 f13(I330, I331, I332, I333, I334, I335, I336, I337, I338, I339, I340, I341, I342, I343, I344, I345, I346, I347, I348, I349, I350, I351, I352, I353, I354, I355, I356, I357, I358, I359, I360, I361) -> f1(I362, I363, I364, I365, I366, I367, I368, I369, I370, I371, I372, I373, I374, I333, I334, I375, I376, I377, I335, I378, I379, I380, I381, I382, I383, I336, I337, I384, I385, I386, I387, I388) [I385 + 4 <= I332 /\ I386 + 4 <= I332 /\ I384 + 4 <= I332 /\ I337 + 2 <= I332 /\ I336 + 3 <= I332 /\ I383 + 2 <= I331 /\ I382 + 2 <= I331 /\ I381 + 2 <= I331 /\ I380 + 4 <= I330 /\ I379 + 4 <= I330 /\ I378 + 4 <= I330 /\ I335 + 2 <= I330 /\ I377 + 6 <= I330 /\ I376 + 6 <= I330 /\ I375 + 6 <= I330 /\ I334 + 4 <= I330 /\ I333 + 5 <= I330 /\ 2 <= I366 - 1 /\ 0 <= I365 - 1 /\ 4 <= I364 - 1 /\ 5 <= I363 - 1 /\ 0 <= I362 - 1 /\ 2 <= I332 - 1 /\ 0 <= I331 - 1 /\ 4 <= I330 - 1 /\ I366 <= I332 /\ I365 <= I331 /\ I364 <= I330 /\ I362 + 2 <= I332 /\ I362 <= I331 /\ I362 + 4 <= I330] 4.55/4.58 f10(I389, I390, I391, I392, I393, I394, I395, I396, I397, I398, I399, I400, I401, I402, I403, I404, I405, I406, I407, I408, I409, I410, I411, I412, I413, I414, I415, I416, I417, I418, I419, I420) -> f13(I421, I422, I423, I424, I425, I426, I427, I428, I429, I430, I431, I432, I433, I434, I435, I436, I437, I438, I439, I440, I441, I442, I443, I444, I445, I446, I447, I448, I449, I450, I451, I452) [0 <= I392 - 1 /\ 0 <= I453 - 1 /\ 0 <= I454 - 1 /\ y3 <= I453 - 1 /\ I453 <= I392 - 1 /\ 9 <= I389 - 1 /\ 2 <= I390 - 1 /\ 4 <= I421 - 1 /\ -1 <= I422 - 1 /\ 2 <= I423 - 1 /\ I393 + 5 <= I389 /\ I394 + 3 <= I389 /\ I395 + 3 <= I390] 4.55/4.58 f10(I455, I456, I457, I458, I459, I460, I461, I462, I463, I464, I465, I466, I467, I468, I469, I470, I471, I472, I473, I474, I475, I476, I477, I478, I479, I480, I481, I482, I483, I484, I485, I486) -> f12(I487, I488, I489, I490, I459, I460, I491, I492, I493, I494, I495, I496, I497, I498, I499, I500, I501, I502, I503, I504, I505, I506, I507, I508, I509, I510, I511, I512, I513, I514, I515, I516) [I517 <= -1 /\ 0 <= I458 - 1 /\ I518 <= -1 /\ I519 <= I458 - 1 /\ I489 <= 0 /\ 0 <= I457 - 1 /\ 9 <= I455 - 1 /\ 2 <= I456 - 1 /\ 7 <= I487 - 1 /\ 4 <= I488 - 1 /\ I459 + 5 <= I455 /\ I460 + 3 <= I455 /\ I461 + 3 <= I456] 4.55/4.58 f10(I520, I521, I522, I523, I524, I525, I526, I527, I528, I529, I530, I531, I532, I533, I534, I535, I536, I537, I538, I539, I540, I541, I542, I543, I544, I545, I546, I547, I548, I549, I550, I551) -> f12(I552, I553, I554, I555, I524, I525, I556, I557, I558, I559, I560, I561, I562, I563, I564, I565, I566, I567, I568, I569, I570, I571, I572, I573, I574, I575, I576, I577, I578, I579, I580, I581) [I582 <= 0 /\ 0 <= I523 - 1 /\ I583 <= I584 - 1 /\ -1 <= I584 - 1 /\ y4 <= I523 - 1 /\ 0 <= I582 - 1 /\ I554 <= 0 /\ 9 <= I520 - 1 /\ 2 <= I521 - 1 /\ 7 <= I552 - 1 /\ 4 <= I553 - 1 /\ I524 + 5 <= I520 /\ I525 + 3 <= I520 /\ I526 + 3 <= I521] 4.55/4.58 f10(I585, I586, I587, I588, I589, I590, I591, I592, I593, I594, I595, I596, I597, I598, I599, I600, I601, I602, I603, I604, I605, I606, I607, I608, I609, I610, I611, I612, I613, I614, I615, I616) -> f12(I617, I618, I619, I620, I589, I590, I621, I622, I623, I624, I625, I626, I627, I628, I629, I630, I631, I632, I633, I634, I635, I636, I637, I638, I639, I640, I641, I642, I643, I644, I645, I646) [I647 <= 0 /\ 0 <= I588 - 1 /\ I648 <= I649 - 1 /\ -1 <= I649 - 1 /\ I619 <= 0 /\ I650 <= I588 - 1 /\ 9 <= I585 - 1 /\ 2 <= I586 - 1 /\ 7 <= I617 - 1 /\ 4 <= I618 - 1 /\ I589 + 5 <= I585 /\ I590 + 3 <= I585 /\ I591 + 3 <= I586] 4.55/4.58 f11(I651, I652, I653, I654, I655, I656, I657, I658, I659, I660, I661, I662, I663, I664, I665, I666, I667, I668, I669, I670, I671, I672, I673, I674, I675, I676, I677, I678, I679, I680, I681, I682) -> f10(I683, I684, I685, I686, I656, I657, I687, I688, I689, I690, I691, I692, I693, I694, I695, I696, I697, I698, I699, I700, I701, I702, I703, I704, I705, I706, I707, I708, I709, I710, I711, I712) [I656 + 5 <= I651 /\ I657 + 3 <= I651 /\ I655 + 7 <= I651 /\ I654 + 7 <= I651 /\ 2 <= I684 - 1 /\ 7 <= I683 - 1 /\ 6 <= I651 - 1 /\ I686 <= I653 - 1 /\ -1 <= I653 - 1 /\ -1 <= I652 - 1 /\ I685 <= I652 - 1] 4.55/4.58 f9(I713, I714, I715, I716, I717, I718, I719, I720, I721, I722, I723, I724, I725, I726, I727, I728, I729, I730, I731, I732, I733, I734, I735, I736, I737, I738, I739, I740, I741, I742, I743, I744) -> f10(I745, I746, I747, I748, I749, I750, I751, I752, I753, I754, I755, I756, I757, I758, I759, I760, I761, I762, I763, I764, I765, I766, I767, I768, I769, I770, I771, I772, I773, I774, I775, I776) [-1 <= I777 - 1 /\ 0 <= I714 - 1 /\ -1 <= I778 - 1 /\ I747 <= I778 - 1 /\ -1 <= I779 - 1 /\ I748 <= I779 - 1 /\ 0 <= I713 - 1 /\ 7 <= I745 - 1 /\ 2 <= I746 - 1] 4.55/4.58 f7(I780, I781, I782, I783, I784, I785, I786, I787, I788, I789, I790, I791, I792, I793, I794, I795, I796, I797, I798, I799, I800, I801, I802, I803, I804, I805, I806, I807, I808, I809, I810, I811) -> f8(I780, I812, 0, 0, I782, I813, I814, 0, 0, 0, I815, I816, I817, I818, I782, I783, I783, I819, I784, I820, I821, I785, I786, I822, I823, I824, I825, I826, I827, I828, I829, I830) [I813 = I814 /\ I785 + 5 <= I781 /\ I786 + 3 <= I781 /\ 9 <= I812 - 1 /\ 9 <= I781 - 1] 4.55/4.58 f5(I831, I832, I833, I834, I835, I836, I837, I838, I839, I840, I841, I842, I843, I844, I845, I846, I847, I848, I849, I850, I851, I852, I853, I854, I855, I856, I857, I858, I859, I860, I861, I862) -> f6(I863, I864, I865, I866, I867, I868, I869, I870, I871, I872, I873, I874, I875, I876, I877, I878, I879, I880, I881, I882, I883, I884, I885, I886, I887, I888, I889, I890, I891, I892, I893, I894) [I861 + 4 <= I835 /\ I862 + 4 <= I835 /\ I860 + 4 <= I835 /\ I859 + 2 <= I835 /\ I858 + 6 <= I835 /\ I857 + 6 <= I835 /\ I856 + 6 <= I835 /\ I855 + 4 <= I835 /\ I854 + 2 <= I834 /\ I853 + 2 <= I834 /\ I852 + 2 <= I834 /\ I851 + 4 <= I833 /\ I850 + 4 <= I833 /\ I849 + 4 <= I833 /\ I848 + 2 <= I833 /\ I858 + 6 <= I833 /\ I857 + 6 <= I833 /\ I856 + 6 <= I833 /\ I847 + 4 <= I833 /\ I846 + 3 <= I832 /\ I845 + 5 <= I832 /\ I844 + 9 <= I832 /\ I843 + 9 <= I832 /\ I842 + 9 <= I832 /\ I841 + 7 <= I832 /\ I840 + 11 <= I832 /\ I839 + 11 <= I832 /\ I838 + 11 <= I832 /\ I837 + 9 <= I832 /\ 4 <= I867 - 1 /\ 0 <= I866 - 1 /\ 4 <= I865 - 1 /\ 9 <= I864 - 1 /\ 0 <= I863 - 1 /\ 4 <= I835 - 1 /\ 0 <= I834 - 1 /\ 4 <= I833 - 1 /\ 9 <= I832 - 1 /\ 0 <= I831 - 1 /\ I867 <= I835 /\ I866 <= I834 /\ I865 <= I833 /\ I864 <= I832 /\ I863 + 4 <= I835 /\ I863 <= I834 /\ I863 + 4 <= I833 /\ I863 + 9 <= I832 /\ I863 <= I831] 4.55/4.58 f3(I895, I896, I897, I898, I899, I900, I901, I902, I903, I904, I905, I906, I907, I908, I909, I910, I911, I912, I913, I914, I915, I916, I917, I918, I919, I920, I921, I922, I923, I924, I925, I926) -> f4(I927, I928, I929, I930, I931, I900, I901, I932, I933, I934, I935, I936, I937, I938, I939, I940, I941, I942, I943, I944, I945, I946, I947, I948, I949, I950, I951, I952, I953, I954, I955, I956) [I925 + 4 <= I899 /\ I926 + 4 <= I899 /\ I924 + 4 <= I899 /\ I923 + 2 <= I899 /\ I922 + 3 <= I899 /\ I921 + 2 <= I898 /\ I920 + 2 <= I898 /\ I919 + 2 <= I898 /\ I918 + 4 <= I897 /\ I917 + 4 <= I897 /\ I916 + 4 <= I897 /\ I915 + 2 <= I897 /\ I914 + 6 <= I897 /\ I913 + 6 <= I897 /\ I912 + 6 <= I897 /\ I911 + 4 <= I897 /\ I910 + 5 <= I897 /\ I909 + 3 <= I896 /\ I908 + 5 <= I896 /\ I907 + 9 <= I896 /\ I906 + 9 <= I896 /\ I905 + 9 <= I896 /\ I904 + 7 <= I896 /\ I903 + 8 <= I896 /\ 2 <= I931 - 1 /\ 0 <= I930 - 1 /\ 4 <= I929 - 1 /\ 7 <= I928 - 1 /\ 0 <= I927 - 1 /\ 2 <= I899 - 1 /\ 0 <= I898 - 1 /\ 4 <= I897 - 1 /\ 7 <= I896 - 1 /\ 0 <= I895 - 1 /\ I931 <= I899 /\ I930 <= I898 /\ I929 <= I897 /\ I928 <= I896 /\ I927 + 2 <= I899 /\ I927 <= I898 /\ I927 + 4 <= I897 /\ I927 + 7 <= I896 /\ I927 <= I895] 4.55/4.58 f1(I957, I958, I959, I960, I961, I962, I963, I964, I965, I966, I967, I968, I969, I970, I971, I972, I973, I974, I975, I976, I977, I978, I979, I980, I981, I982, I983, I984, I985, I986, I987, I988) -> f2(I989, I990, I991, I992, I993, I962, I963, I964, I965, I994, I995, I996, I997, I998, I999, I1000, I1001, I1002, I1003, I1004, I1005, I1006, I1007, I1008, I1009, I1010, I1011, I1012, I1013, I1014, I1015, I1016) [I985 + 4 <= I961 /\ I986 + 4 <= I961 /\ I984 + 4 <= I961 /\ I983 + 2 <= I961 /\ I982 + 3 <= I961 /\ I981 + 2 <= I960 /\ I980 + 2 <= I960 /\ I979 + 2 <= I960 /\ I978 + 4 <= I959 /\ I977 + 4 <= I959 /\ I976 + 4 <= I959 /\ I975 + 2 <= I959 /\ I974 + 6 <= I959 /\ I973 + 6 <= I959 /\ I972 + 6 <= I959 /\ I971 + 4 <= I959 /\ I970 + 5 <= I959 /\ I969 + 3 <= I958 /\ I968 + 5 <= I958 /\ I967 + 6 <= I958 /\ 2 <= I993 - 1 /\ 0 <= I992 - 1 /\ 4 <= I991 - 1 /\ 5 <= I990 - 1 /\ 0 <= I989 - 1 /\ 2 <= I961 - 1 /\ 0 <= I960 - 1 /\ 4 <= I959 - 1 /\ 5 <= I958 - 1 /\ 0 <= I957 - 1 /\ I993 <= I961 /\ I992 <= I960 /\ I991 <= I959 /\ I990 <= I958 /\ I989 + 2 <= I961 /\ I989 <= I960 /\ I989 + 4 <= I959 /\ I989 + 5 <= I958 /\ I989 <= I957] 4.55/4.58 4.55/4.58 We use the basic value criterion with the projection function NU: 4.55/4.58 NU[f14#(z1,z2,z3,z4,z5,z6,z7,z8,z9,z10,z11,z12,z13,z14,z15,z16,z17,z18,z19,z20,z21,z22,z23,z24,z25,z26,z27,z28,z29,z30,z31,z32)] = z2 4.55/4.58 4.55/4.58 This gives the following inequalities: 4.55/4.58 0 <= I53 - 1 /\ -1 <= I106 - 1 /\ 0 <= I57 - 1 /\ 0 <= I54 - 1 /\ -1 <= I71 - 1 /\ I71 <= I106 - 1 /\ 0 <= I61 - 1 /\ 0 <= I55 - 1 /\ 0 <= I64 - 1 /\ 0 <= I62 - 1 /\ 0 <= I63 - 1 /\ -1 <= I107 - 1 /\ 0 <= I60 - 1 /\ 0 <= I56 - 1 /\ 0 <= I70 - 1 /\ 0 <= I65 - 1 /\ 0 <= I69 - 1 /\ 0 <= I68 - 1 /\ 0 <= I66 - 1 /\ 0 <= I67 - 1 /\ -1 <= I76 - 1 /\ -1 <= I75 - 1 /\ 9 <= I52 - 1 /\ 9 <= I84 - 1 /\ I72 + 9 <= I52 /\ I73 + 9 <= I52 /\ I74 + 9 <= I52 /\ I76 + 3 <= I52 /\ I75 + 5 <= I52 ==> I53 >! I53 - 1 4.55/4.58 4.55/4.58 All dependency pairs are strictly oriented, so the entire dependency pair problem may be removed. 4.55/7.56 EOF