13.43/13.45 YES 13.43/13.45 13.43/13.45 DP problem for innermost termination. 13.43/13.45 P = 13.43/13.45 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) -> f3#(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) 13.43/13.45 f8#(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) -> f8#(I25, I1 - 1, 0, 1, 1, I26, I27, I7, I28, I9, I29, I11, 0, 2, I30, I31, I32, I33, I34, I19 + 1, I35, I36, I37, I23 + 1, I24 + 1) [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 <= I25 - 1 /\ I20 + 9 <= I0 /\ I21 + 9 <= I0 /\ I22 + 9 <= I0 /\ I24 + 3 <= I0 /\ I23 + 5 <= I0 /\ I7 = I8 /\ I9 = I10 /\ I11 = I12 /\ I6 = I15] 13.43/13.45 f8#(I38, I39, I40, I41, I42, I43, I44, I45, I46, I47, I48, I49, I50, I51, I52, I53, I54, I55, I56, I57, I58, I59, I60, I61, I62) -> f8#(I63, I39 - 1, I40, I64, I65, I43, I44, I45, I66, I47, I67, I49, I68, I69, I70, I71, I72, I73, I74, I57 + 1, I75, I76, I77, I61 + 1, I62 + 1) [0 <= I39 - 1 /\ -1 <= I78 - 1 /\ 0 <= I43 - 1 /\ 0 <= I40 - 1 /\ -1 <= I57 - 1 /\ I57 <= I78 - 1 /\ 0 <= I47 - 1 /\ 0 <= I41 - 1 /\ 0 <= I50 - 1 /\ 0 <= I48 - 1 /\ 0 <= I49 - 1 /\ -1 <= I79 - 1 /\ 0 <= I46 - 1 /\ 0 <= I42 - 1 /\ 0 <= I56 - 1 /\ 0 <= I51 - 1 /\ 0 <= I55 - 1 /\ 0 <= I54 - 1 /\ 0 <= I52 - 1 /\ 0 <= I53 - 1 /\ -1 <= I62 - 1 /\ -1 <= I61 - 1 /\ 9 <= I38 - 1 /\ 9 <= I63 - 1 /\ I58 + 9 <= I38 /\ I59 + 9 <= I38 /\ I60 + 9 <= I38 /\ I62 + 3 <= I38 /\ I61 + 5 <= I38] 13.43/13.45 f2#(I80, I81, I82, I83, I84, I85, I86, I87, I88, I89, I90, I91, I92, I93, I94, I95, I96, I97, I98, I99, I100, I101, I102, I103, I104) -> f8#(I105, I80, I92, I90, I86, I91, I85, I106, I82, I93, I84, 0, I83, I87, I88, I89, I94, I95, I96, I98, I107, I108, I109, I101, I102) [I101 + 5 <= I81 /\ I102 + 3 <= I81 /\ I100 + 9 <= I81 /\ I99 + 9 <= I81 /\ 11 <= I105 - 1 /\ 11 <= I81 - 1] 13.43/13.45 f3#(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) -> f1#(I135, I136, I137, I138, 1, 0, 0, I139, I140, I141, I142, I143, I144, I145, I146, I147, I148, I149, I150, I151, I152, I153, I154, I155, I156) [7 <= I136 - 1 /\ 0 <= I110 - 1 /\ I136 - 7 <= I110 /\ 0 <= I111 - 1 /\ -1 <= I135 - 1] 13.43/13.45 f7#(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) -> f7#(I182, I158, I159 + 1, I160, I183, I184, I185, I186, I187, I188, I189, I190, I191, I192, I193, I194, I195, I196, I197, I198, I199, I200, I201, I202, I203) [I161 + 4 <= I157 /\ I162 + 4 <= I157 /\ I159 + 2 <= I157 /\ I160 + 5 <= I157 /\ I158 + 7 <= I157 /\ 7 <= I182 - 1 /\ 7 <= I157 - 1 /\ I159 <= I158 - 1 /\ -1 <= I159 - 1] 13.43/13.45 f4#(I204, I205, I206, I207, I208, I209, I210, I211, I212, I213, I214, I215, I216, I217, I218, I219, I220, I221, I222, I223, I224, I225, I226, I227, I228) -> f7#(I229, I221, 0, I222, I230, I231, I232, I233, I234, I235, I236, I237, I238, I239, I240, I241, I242, I243, I244, I245, I246, I247, I248, I249, I250) [-1 <= I208 - 1 /\ 0 <= I207 - 1 /\ I251 <= I208 - 1 /\ I252 <= I209 - 1 /\ 0 <= I251 - 1 /\ -1 <= I209 - 1 /\ 8 <= I204 - 1 /\ 8 <= I205 - 1 /\ 6 <= I206 - 1 /\ 9 <= I229 - 1 /\ I210 + 9 <= I204 /\ I211 + 9 <= I204 /\ I221 + 7 <= I204 /\ I222 + 5 <= I204 /\ I212 + 4 <= I204 /\ I213 + 4 <= I204 /\ I214 + 9 <= I205 /\ I215 + 9 <= I205 /\ I221 + 7 <= I205 /\ I222 + 5 <= I205 /\ I217 + 4 <= I205 /\ I218 + 4 <= I205 /\ I219 + 7 <= I206 /\ I220 + 7 <= I206 /\ I222 + 3 <= I206 /\ I221 + 5 <= I206 /\ 0 = I216] 13.43/13.45 f4#(I253, I254, I255, I256, I257, I258, I259, I260, I261, I262, I263, I264, I265, I266, I267, I268, I269, I270, I271, I272, I273, I274, I275, I276, I277) -> f7#(I278, I270, 0, I271, I279, I280, I281, I282, I283, I284, I285, I286, I287, I288, I289, I290, I291, I292, I293, I294, I295, I296, I297, I298, I299) [-1 <= I257 - 1 /\ 0 <= I256 - 1 /\ I300 <= I257 - 1 /\ I301 <= I258 - 1 /\ -1 <= I258 - 1 /\ 0 <= I301 - 1 /\ 0 <= I300 - 1 /\ 8 <= I253 - 1 /\ 8 <= I254 - 1 /\ 6 <= I255 - 1 /\ 9 <= I278 - 1 /\ I259 + 9 <= I253 /\ I260 + 9 <= I253 /\ I270 + 7 <= I253 /\ I271 + 5 <= I253 /\ I261 + 4 <= I253 /\ I262 + 4 <= I253 /\ I263 + 9 <= I254 /\ I264 + 9 <= I254 /\ I270 + 7 <= I254 /\ I271 + 5 <= I254 /\ I266 + 4 <= I254 /\ I267 + 4 <= I254 /\ I268 + 7 <= I255 /\ I269 + 7 <= I255 /\ I271 + 3 <= I255 /\ I270 + 5 <= I255 /\ 0 = I265] 13.43/13.45 f6#(I302, I303, I304, I305, I306, I307, I308, I309, I310, I311, I312, I313, I314, I315, I316, I317, I318, I319, I320, I321, I322, I323, I324, I325, I326) -> f7#(I327, I311, 0, I319, I328, I329, I330, I331, I332, I333, I334, I335, I336, I337, I338, I339, I340, I341, I342, I343, I344, I345, I346, I347, I348) [0 = I318 /\ I311 = I317 /\ 0 = I312 /\ I320 + 4 <= I303 /\ I321 + 4 <= I303 /\ I319 + 5 <= I303 /\ I311 + 7 <= I303 /\ I316 + 9 <= I303 /\ I315 + 9 <= I303 /\ I314 + 4 <= I302 /\ I313 + 4 <= I302 /\ I319 + 5 <= I302 /\ I311 + 7 <= I302 /\ I310 + 9 <= I302 /\ I309 + 9 <= I302 /\ 8 <= I327 - 1 /\ 8 <= I303 - 1 /\ 8 <= I302 - 1] 13.43/13.45 f4#(I349, I350, I351, I352, I353, I354, I355, I356, I357, I358, I359, I360, I361, I362, I363, I364, I365, I366, I367, I368, I369, I370, I371, I372, I373) -> f7#(I374, I366, 0, I367, I375, I376, I377, I378, I379, I380, I381, I382, I383, I384, I385, I386, I387, I388, I389, I390, I391, I392, I393, I394, I395) [-1 <= I353 - 1 /\ 0 <= I352 - 1 /\ I396 <= I353 - 1 /\ -1 <= I354 - 1 /\ I397 <= I354 - 1 /\ 8 <= I349 - 1 /\ 8 <= I350 - 1 /\ 6 <= I351 - 1 /\ 8 <= I374 - 1 /\ I355 + 9 <= I349 /\ I356 + 9 <= I349 /\ I366 + 7 <= I349 /\ I367 + 5 <= I349 /\ I357 + 4 <= I349 /\ I358 + 4 <= I349 /\ I359 + 9 <= I350 /\ I360 + 9 <= I350 /\ I366 + 7 <= I350 /\ I367 + 5 <= I350 /\ I362 + 4 <= I350 /\ I363 + 4 <= I350 /\ I364 + 7 <= I351 /\ I365 + 7 <= I351 /\ I367 + 3 <= I351 /\ I366 + 5 <= I351 /\ 0 = I361] 13.43/13.45 f4#(I398, I399, I400, I401, I402, I403, I404, I405, I406, I407, I408, I409, I410, I411, I412, I413, I414, I415, I416, I417, I418, I419, I420, I421, I422) -> f7#(I423, I415, 0, I416, I424, I425, I426, I427, I428, I429, I430, I431, I432, I433, I434, I435, I436, I437, I438, I439, I440, I441, I442, I443, I444) [-1 <= I402 - 1 /\ 0 <= I401 - 1 /\ I445 <= I402 - 1 /\ I446 <= I403 - 1 /\ 0 <= I446 - 1 /\ -1 <= I403 - 1 /\ 8 <= I398 - 1 /\ 8 <= I399 - 1 /\ 6 <= I400 - 1 /\ 8 <= I423 - 1 /\ I404 + 9 <= I398 /\ I405 + 9 <= I398 /\ I415 + 7 <= I398 /\ I416 + 5 <= I398 /\ I406 + 4 <= I398 /\ I407 + 4 <= I398 /\ I408 + 9 <= I399 /\ I409 + 9 <= I399 /\ I415 + 7 <= I399 /\ I416 + 5 <= I399 /\ I411 + 4 <= I399 /\ I412 + 4 <= I399 /\ I413 + 7 <= I400 /\ I414 + 7 <= I400 /\ I416 + 3 <= I400 /\ I415 + 5 <= I400 /\ 0 = I410] 13.43/13.45 f6#(I447, I448, I449, I450, I451, I452, I453, I454, I455, I456, I457, I458, I459, I460, I461, I462, I463, I464, I465, I466, I467, I468, I469, I470, I471) -> f6#(I472, I473, 1, 1, 1, 1, 1, I474, I475, I456, I457 - 1, I476, I477, I478, I479, I456, I457 - 1, I464, I480, I481, I482, I483, I484, I485, I486) [-1 <= I450 - 1 /\ 0 <= I457 - 1 /\ I487 <= I450 - 1 /\ I488 <= I451 - 1 /\ -1 <= I451 - 1 /\ 8 <= I447 - 1 /\ 8 <= I448 - 1 /\ 8 <= I472 - 1 /\ 8 <= I473 - 1 /\ I454 + 9 <= I447 /\ I455 + 9 <= I447 /\ I456 + 7 <= I447 /\ I464 + 5 <= I447 /\ I457 + 2 <= I447 /\ I458 + 4 <= I447 /\ I459 + 4 <= I447 /\ I460 + 9 <= I448 /\ I461 + 9 <= I448 /\ I456 + 7 <= I448 /\ I464 + 5 <= I448 /\ I457 + 2 <= I448 /\ I466 + 4 <= I448 /\ I465 + 4 <= I448 /\ I451 = I453 /\ I456 = I462 /\ I457 = I463] 13.43/13.45 f6#(I489, I490, I491, I492, I493, I494, I495, I496, I497, I498, I499, I500, I501, I502, I503, I504, I505, I506, I507, I508, I509, I510, I511, I512, I513) -> f6#(I514, I515, 1, 1, I516, I517, 0, I518, I519, I498, I499 - 1, I520, I521, I522, I523, I498, I499 - 1, I506, I524, I525, I526, I527, I528, I529, I530) [-1 <= I492 - 1 /\ 0 <= I499 - 1 /\ I531 <= I492 - 1 /\ I517 <= I493 - 1 /\ -1 <= I493 - 1 /\ 0 <= I517 - 1 /\ 8 <= I489 - 1 /\ 8 <= I490 - 1 /\ 8 <= I514 - 1 /\ 8 <= I515 - 1 /\ I496 + 9 <= I489 /\ I497 + 9 <= I489 /\ I498 + 7 <= I489 /\ I506 + 5 <= I489 /\ I499 + 2 <= I489 /\ I500 + 4 <= I489 /\ I501 + 4 <= I489 /\ I502 + 9 <= I490 /\ I503 + 9 <= I490 /\ I498 + 7 <= I490 /\ I506 + 5 <= I490 /\ I499 + 2 <= I490 /\ I508 + 4 <= I490 /\ I507 + 4 <= I490 /\ I493 = I495 /\ I498 = I504 /\ I499 = I505] 13.43/13.45 f6#(I532, I533, I534, I535, I536, I537, I538, I539, I540, I541, I542, I543, I544, I545, I546, I547, I548, I549, I550, I551, I552, I553, I554, I555, I556) -> f6#(I557, I558, 1, I559, 1, 1, 1, I560, I561, I541, I542 - 1, I562, I563, I564, I565, I541, I542 - 1, I549, I566, I567, I568, I569, I570, I571, I572) [-1 <= I535 - 1 /\ 0 <= I542 - 1 /\ I573 <= I535 - 1 /\ I574 <= I536 - 1 /\ -1 <= I536 - 1 /\ 0 <= I573 - 1 /\ 8 <= I532 - 1 /\ 8 <= I533 - 1 /\ 8 <= I557 - 1 /\ 8 <= I558 - 1 /\ I539 + 9 <= I532 /\ I540 + 9 <= I532 /\ I541 + 7 <= I532 /\ I549 + 5 <= I532 /\ I542 + 2 <= I532 /\ I543 + 4 <= I532 /\ I544 + 4 <= I532 /\ I545 + 9 <= I533 /\ I546 + 9 <= I533 /\ I541 + 7 <= I533 /\ I549 + 5 <= I533 /\ I542 + 2 <= I533 /\ I551 + 4 <= I533 /\ I550 + 4 <= I533 /\ I536 = I538 /\ I541 = I547 /\ I542 = I548] 13.43/13.45 f6#(I575, I576, I577, I578, I579, I580, I581, I582, I583, I584, I585, I586, I587, I588, I589, I590, I591, I592, I593, I594, I595, I596, I597, I598, I599) -> f6#(I600, I601, 1, 0, 0, I602, 0, I603, I604, I584, I585 - 1, I605, I606, I607, I608, I584, I585 - 1, I592, I609, I610, I611, I612, I613, I614, I615) [-1 <= I578 - 1 /\ 0 <= I585 - 1 /\ I616 <= I578 - 1 /\ I602 <= I579 - 1 /\ -1 <= I579 - 1 /\ 0 <= I616 - 1 /\ 0 <= I602 - 1 /\ 8 <= I575 - 1 /\ 8 <= I576 - 1 /\ 8 <= I600 - 1 /\ 8 <= I601 - 1 /\ I582 + 9 <= I575 /\ I583 + 9 <= I575 /\ I584 + 7 <= I575 /\ I592 + 5 <= I575 /\ I585 + 2 <= I575 /\ I586 + 4 <= I575 /\ I587 + 4 <= I575 /\ I588 + 9 <= I576 /\ I589 + 9 <= I576 /\ I584 + 7 <= I576 /\ I592 + 5 <= I576 /\ I585 + 2 <= I576 /\ I594 + 4 <= I576 /\ I593 + 4 <= I576 /\ I579 = I581 /\ I584 = I590 /\ I585 = I591] 13.43/13.45 f6#(I617, I618, I619, I620, I621, I622, I623, I624, I625, I626, I627, I628, I629, I630, I631, I632, I633, I634, I635, I636, I637, I638, I639, I640, I641) -> f6#(I642, I643, I644, I620, I621, I645, I646, I647, I648, I626, I627 - 1, I649, I650, I651, I652, I626, I627 - 1, I634, I653, I654, I655, I656, I657, I658, I659) [0 <= I622 - 1 /\ 0 <= I619 - 1 /\ 0 <= I623 - 1 /\ 0 <= I627 - 1 /\ I619 <= I644 - 1 /\ 0 <= I620 - 1 /\ I619 <= I621 - 1 /\ 0 <= I621 - 1 /\ I645 <= I622 - 1 /\ I660 <= I646 - 1 /\ I660 <= I623 - 1 /\ -1 <= I660 - 1 /\ I660 <= I645 - 1 /\ 8 <= I617 - 1 /\ 8 <= I618 - 1 /\ 8 <= I642 - 1 /\ 8 <= I643 - 1 /\ I624 + 9 <= I617 /\ I625 + 9 <= I617 /\ I626 + 7 <= I617 /\ I634 + 5 <= I617 /\ I627 + 2 <= I617 /\ I628 + 4 <= I617 /\ I629 + 4 <= I617 /\ I630 + 9 <= I618 /\ I631 + 9 <= I618 /\ I626 + 7 <= I618 /\ I634 + 5 <= I618 /\ I627 + 2 <= I618 /\ I636 + 4 <= I618 /\ I635 + 4 <= I618 /\ I626 = I632 /\ I627 = I633] 13.43/13.45 f4#(I661, I662, I663, I664, I665, I666, I667, I668, I669, I670, I671, I672, I673, I674, I675, I676, I677, I678, I679, I680, I681, I682, I683, I684, I685) -> f6#(I686, I687, I666, I665, I666, I666, I666, I688, I689, I678, I678, I690, I691, I692, I693, I678, I678, I679, I694, I695, I696, I697, I698, I699, I700) [0 = I673 /\ I678 + 5 <= I663 /\ I679 + 3 <= I663 /\ I677 + 7 <= I663 /\ I676 + 7 <= I663 /\ I675 + 4 <= I662 /\ I674 + 4 <= I662 /\ I679 + 5 <= I662 /\ I678 + 7 <= I662 /\ I672 + 9 <= I662 /\ I671 + 9 <= I662 /\ I670 + 4 <= I661 /\ I669 + 4 <= I661 /\ I679 + 5 <= I661 /\ I678 + 7 <= I661 /\ I668 + 9 <= I661 /\ I667 + 9 <= I661 /\ 8 <= I687 - 1 /\ 8 <= I686 - 1 /\ 6 <= I663 - 1 /\ 8 <= I662 - 1 /\ I664 <= 0 /\ 8 <= I661 - 1] 13.43/13.45 f5#(I701, I702, I703, I704, I705, I706, I707, I708, I709, I710, I711, I712, I713, I714, I715, I716, I717, I718, I719, I720, I721, I722, I723, I724, I725) -> f4#(I726, I727, I728, I729, I702, I703, I730, I731, I732, I733, I734, I735, 0, I736, I737, I738, I739, I706, I707, I740, I741, I742, I743, I744, I745) [I706 + 5 <= I701 /\ I707 + 3 <= I701 /\ I705 + 7 <= I701 /\ I704 + 7 <= I701 /\ 6 <= I728 - 1 /\ 8 <= I727 - 1 /\ 8 <= I726 - 1 /\ -1 <= I706 - 1 /\ 6 <= I701 - 1] 13.43/13.45 f3#(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) -> f4#(I771, I772, I773, I774, I775, I776, I777, I778, I779, I780, I781, I782, 0, I783, I784, I785, I786, I787, I788, I789, I790, I791, I792, I793, I794) [-1 <= I787 - 1 /\ 0 <= I747 - 1 /\ -1 <= I795 - 1 /\ 0 <= I746 - 1 /\ 8 <= I771 - 1 /\ 8 <= I772 - 1 /\ 6 <= I773 - 1] 13.43/13.45 f1#(I796, I797, I798, I799, I800, I801, I802, I803, I804, I805, I806, I807, I808, I809, I810, I811, I812, I813, I814, I815, I816, I817, I818, I819, I820) -> f2#(I796, I821, 0, 0, I798, I822, I823, 0, 0, 0, I824, I825, I826, I827, I798, I799, I799, I828, I800, I829, I830, I801, I802, I831, I832) [I822 = I823 /\ I801 + 5 <= I797 /\ I802 + 3 <= I797 /\ 9 <= I821 - 1 /\ 9 <= I797 - 1] 13.43/13.45 R = 13.43/13.45 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) -> f3(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) 13.43/13.45 f8(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) -> f8(I25, I1 - 1, 0, 1, 1, I26, I27, I7, I28, I9, I29, I11, 0, 2, I30, I31, I32, I33, I34, I19 + 1, I35, I36, I37, I23 + 1, I24 + 1) [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 <= I25 - 1 /\ I20 + 9 <= I0 /\ I21 + 9 <= I0 /\ I22 + 9 <= I0 /\ I24 + 3 <= I0 /\ I23 + 5 <= I0 /\ I7 = I8 /\ I9 = I10 /\ I11 = I12 /\ I6 = I15] 13.43/13.45 f8(I38, I39, I40, I41, I42, I43, I44, I45, I46, I47, I48, I49, I50, I51, I52, I53, I54, I55, I56, I57, I58, I59, I60, I61, I62) -> f8(I63, I39 - 1, I40, I64, I65, I43, I44, I45, I66, I47, I67, I49, I68, I69, I70, I71, I72, I73, I74, I57 + 1, I75, I76, I77, I61 + 1, I62 + 1) [0 <= I39 - 1 /\ -1 <= I78 - 1 /\ 0 <= I43 - 1 /\ 0 <= I40 - 1 /\ -1 <= I57 - 1 /\ I57 <= I78 - 1 /\ 0 <= I47 - 1 /\ 0 <= I41 - 1 /\ 0 <= I50 - 1 /\ 0 <= I48 - 1 /\ 0 <= I49 - 1 /\ -1 <= I79 - 1 /\ 0 <= I46 - 1 /\ 0 <= I42 - 1 /\ 0 <= I56 - 1 /\ 0 <= I51 - 1 /\ 0 <= I55 - 1 /\ 0 <= I54 - 1 /\ 0 <= I52 - 1 /\ 0 <= I53 - 1 /\ -1 <= I62 - 1 /\ -1 <= I61 - 1 /\ 9 <= I38 - 1 /\ 9 <= I63 - 1 /\ I58 + 9 <= I38 /\ I59 + 9 <= I38 /\ I60 + 9 <= I38 /\ I62 + 3 <= I38 /\ I61 + 5 <= I38] 13.43/13.45 f2(I80, I81, I82, I83, I84, I85, I86, I87, I88, I89, I90, I91, I92, I93, I94, I95, I96, I97, I98, I99, I100, I101, I102, I103, I104) -> f8(I105, I80, I92, I90, I86, I91, I85, I106, I82, I93, I84, 0, I83, I87, I88, I89, I94, I95, I96, I98, I107, I108, I109, I101, I102) [I101 + 5 <= I81 /\ I102 + 3 <= I81 /\ I100 + 9 <= I81 /\ I99 + 9 <= I81 /\ 11 <= I105 - 1 /\ 11 <= I81 - 1] 13.43/13.45 f3(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) -> f1(I135, I136, I137, I138, 1, 0, 0, I139, I140, I141, I142, I143, I144, I145, I146, I147, I148, I149, I150, I151, I152, I153, I154, I155, I156) [7 <= I136 - 1 /\ 0 <= I110 - 1 /\ I136 - 7 <= I110 /\ 0 <= I111 - 1 /\ -1 <= I135 - 1] 13.43/13.45 f7(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) -> f7(I182, I158, I159 + 1, I160, I183, I184, I185, I186, I187, I188, I189, I190, I191, I192, I193, I194, I195, I196, I197, I198, I199, I200, I201, I202, I203) [I161 + 4 <= I157 /\ I162 + 4 <= I157 /\ I159 + 2 <= I157 /\ I160 + 5 <= I157 /\ I158 + 7 <= I157 /\ 7 <= I182 - 1 /\ 7 <= I157 - 1 /\ I159 <= I158 - 1 /\ -1 <= I159 - 1] 13.43/13.45 f4(I204, I205, I206, I207, I208, I209, I210, I211, I212, I213, I214, I215, I216, I217, I218, I219, I220, I221, I222, I223, I224, I225, I226, I227, I228) -> f7(I229, I221, 0, I222, I230, I231, I232, I233, I234, I235, I236, I237, I238, I239, I240, I241, I242, I243, I244, I245, I246, I247, I248, I249, I250) [-1 <= I208 - 1 /\ 0 <= I207 - 1 /\ I251 <= I208 - 1 /\ I252 <= I209 - 1 /\ 0 <= I251 - 1 /\ -1 <= I209 - 1 /\ 8 <= I204 - 1 /\ 8 <= I205 - 1 /\ 6 <= I206 - 1 /\ 9 <= I229 - 1 /\ I210 + 9 <= I204 /\ I211 + 9 <= I204 /\ I221 + 7 <= I204 /\ I222 + 5 <= I204 /\ I212 + 4 <= I204 /\ I213 + 4 <= I204 /\ I214 + 9 <= I205 /\ I215 + 9 <= I205 /\ I221 + 7 <= I205 /\ I222 + 5 <= I205 /\ I217 + 4 <= I205 /\ I218 + 4 <= I205 /\ I219 + 7 <= I206 /\ I220 + 7 <= I206 /\ I222 + 3 <= I206 /\ I221 + 5 <= I206 /\ 0 = I216] 13.43/13.45 f4(I253, I254, I255, I256, I257, I258, I259, I260, I261, I262, I263, I264, I265, I266, I267, I268, I269, I270, I271, I272, I273, I274, I275, I276, I277) -> f7(I278, I270, 0, I271, I279, I280, I281, I282, I283, I284, I285, I286, I287, I288, I289, I290, I291, I292, I293, I294, I295, I296, I297, I298, I299) [-1 <= I257 - 1 /\ 0 <= I256 - 1 /\ I300 <= I257 - 1 /\ I301 <= I258 - 1 /\ -1 <= I258 - 1 /\ 0 <= I301 - 1 /\ 0 <= I300 - 1 /\ 8 <= I253 - 1 /\ 8 <= I254 - 1 /\ 6 <= I255 - 1 /\ 9 <= I278 - 1 /\ I259 + 9 <= I253 /\ I260 + 9 <= I253 /\ I270 + 7 <= I253 /\ I271 + 5 <= I253 /\ I261 + 4 <= I253 /\ I262 + 4 <= I253 /\ I263 + 9 <= I254 /\ I264 + 9 <= I254 /\ I270 + 7 <= I254 /\ I271 + 5 <= I254 /\ I266 + 4 <= I254 /\ I267 + 4 <= I254 /\ I268 + 7 <= I255 /\ I269 + 7 <= I255 /\ I271 + 3 <= I255 /\ I270 + 5 <= I255 /\ 0 = I265] 13.43/13.45 f6(I302, I303, I304, I305, I306, I307, I308, I309, I310, I311, I312, I313, I314, I315, I316, I317, I318, I319, I320, I321, I322, I323, I324, I325, I326) -> f7(I327, I311, 0, I319, I328, I329, I330, I331, I332, I333, I334, I335, I336, I337, I338, I339, I340, I341, I342, I343, I344, I345, I346, I347, I348) [0 = I318 /\ I311 = I317 /\ 0 = I312 /\ I320 + 4 <= I303 /\ I321 + 4 <= I303 /\ I319 + 5 <= I303 /\ I311 + 7 <= I303 /\ I316 + 9 <= I303 /\ I315 + 9 <= I303 /\ I314 + 4 <= I302 /\ I313 + 4 <= I302 /\ I319 + 5 <= I302 /\ I311 + 7 <= I302 /\ I310 + 9 <= I302 /\ I309 + 9 <= I302 /\ 8 <= I327 - 1 /\ 8 <= I303 - 1 /\ 8 <= I302 - 1] 13.43/13.45 f4(I349, I350, I351, I352, I353, I354, I355, I356, I357, I358, I359, I360, I361, I362, I363, I364, I365, I366, I367, I368, I369, I370, I371, I372, I373) -> f7(I374, I366, 0, I367, I375, I376, I377, I378, I379, I380, I381, I382, I383, I384, I385, I386, I387, I388, I389, I390, I391, I392, I393, I394, I395) [-1 <= I353 - 1 /\ 0 <= I352 - 1 /\ I396 <= I353 - 1 /\ -1 <= I354 - 1 /\ I397 <= I354 - 1 /\ 8 <= I349 - 1 /\ 8 <= I350 - 1 /\ 6 <= I351 - 1 /\ 8 <= I374 - 1 /\ I355 + 9 <= I349 /\ I356 + 9 <= I349 /\ I366 + 7 <= I349 /\ I367 + 5 <= I349 /\ I357 + 4 <= I349 /\ I358 + 4 <= I349 /\ I359 + 9 <= I350 /\ I360 + 9 <= I350 /\ I366 + 7 <= I350 /\ I367 + 5 <= I350 /\ I362 + 4 <= I350 /\ I363 + 4 <= I350 /\ I364 + 7 <= I351 /\ I365 + 7 <= I351 /\ I367 + 3 <= I351 /\ I366 + 5 <= I351 /\ 0 = I361] 13.43/13.45 f4(I398, I399, I400, I401, I402, I403, I404, I405, I406, I407, I408, I409, I410, I411, I412, I413, I414, I415, I416, I417, I418, I419, I420, I421, I422) -> f7(I423, I415, 0, I416, I424, I425, I426, I427, I428, I429, I430, I431, I432, I433, I434, I435, I436, I437, I438, I439, I440, I441, I442, I443, I444) [-1 <= I402 - 1 /\ 0 <= I401 - 1 /\ I445 <= I402 - 1 /\ I446 <= I403 - 1 /\ 0 <= I446 - 1 /\ -1 <= I403 - 1 /\ 8 <= I398 - 1 /\ 8 <= I399 - 1 /\ 6 <= I400 - 1 /\ 8 <= I423 - 1 /\ I404 + 9 <= I398 /\ I405 + 9 <= I398 /\ I415 + 7 <= I398 /\ I416 + 5 <= I398 /\ I406 + 4 <= I398 /\ I407 + 4 <= I398 /\ I408 + 9 <= I399 /\ I409 + 9 <= I399 /\ I415 + 7 <= I399 /\ I416 + 5 <= I399 /\ I411 + 4 <= I399 /\ I412 + 4 <= I399 /\ I413 + 7 <= I400 /\ I414 + 7 <= I400 /\ I416 + 3 <= I400 /\ I415 + 5 <= I400 /\ 0 = I410] 13.43/13.45 f6(I447, I448, I449, I450, I451, I452, I453, I454, I455, I456, I457, I458, I459, I460, I461, I462, I463, I464, I465, I466, I467, I468, I469, I470, I471) -> f6(I472, I473, 1, 1, 1, 1, 1, I474, I475, I456, I457 - 1, I476, I477, I478, I479, I456, I457 - 1, I464, I480, I481, I482, I483, I484, I485, I486) [-1 <= I450 - 1 /\ 0 <= I457 - 1 /\ I487 <= I450 - 1 /\ I488 <= I451 - 1 /\ -1 <= I451 - 1 /\ 8 <= I447 - 1 /\ 8 <= I448 - 1 /\ 8 <= I472 - 1 /\ 8 <= I473 - 1 /\ I454 + 9 <= I447 /\ I455 + 9 <= I447 /\ I456 + 7 <= I447 /\ I464 + 5 <= I447 /\ I457 + 2 <= I447 /\ I458 + 4 <= I447 /\ I459 + 4 <= I447 /\ I460 + 9 <= I448 /\ I461 + 9 <= I448 /\ I456 + 7 <= I448 /\ I464 + 5 <= I448 /\ I457 + 2 <= I448 /\ I466 + 4 <= I448 /\ I465 + 4 <= I448 /\ I451 = I453 /\ I456 = I462 /\ I457 = I463] 13.43/13.45 f6(I489, I490, I491, I492, I493, I494, I495, I496, I497, I498, I499, I500, I501, I502, I503, I504, I505, I506, I507, I508, I509, I510, I511, I512, I513) -> f6(I514, I515, 1, 1, I516, I517, 0, I518, I519, I498, I499 - 1, I520, I521, I522, I523, I498, I499 - 1, I506, I524, I525, I526, I527, I528, I529, I530) [-1 <= I492 - 1 /\ 0 <= I499 - 1 /\ I531 <= I492 - 1 /\ I517 <= I493 - 1 /\ -1 <= I493 - 1 /\ 0 <= I517 - 1 /\ 8 <= I489 - 1 /\ 8 <= I490 - 1 /\ 8 <= I514 - 1 /\ 8 <= I515 - 1 /\ I496 + 9 <= I489 /\ I497 + 9 <= I489 /\ I498 + 7 <= I489 /\ I506 + 5 <= I489 /\ I499 + 2 <= I489 /\ I500 + 4 <= I489 /\ I501 + 4 <= I489 /\ I502 + 9 <= I490 /\ I503 + 9 <= I490 /\ I498 + 7 <= I490 /\ I506 + 5 <= I490 /\ I499 + 2 <= I490 /\ I508 + 4 <= I490 /\ I507 + 4 <= I490 /\ I493 = I495 /\ I498 = I504 /\ I499 = I505] 13.43/13.45 f6(I532, I533, I534, I535, I536, I537, I538, I539, I540, I541, I542, I543, I544, I545, I546, I547, I548, I549, I550, I551, I552, I553, I554, I555, I556) -> f6(I557, I558, 1, I559, 1, 1, 1, I560, I561, I541, I542 - 1, I562, I563, I564, I565, I541, I542 - 1, I549, I566, I567, I568, I569, I570, I571, I572) [-1 <= I535 - 1 /\ 0 <= I542 - 1 /\ I573 <= I535 - 1 /\ I574 <= I536 - 1 /\ -1 <= I536 - 1 /\ 0 <= I573 - 1 /\ 8 <= I532 - 1 /\ 8 <= I533 - 1 /\ 8 <= I557 - 1 /\ 8 <= I558 - 1 /\ I539 + 9 <= I532 /\ I540 + 9 <= I532 /\ I541 + 7 <= I532 /\ I549 + 5 <= I532 /\ I542 + 2 <= I532 /\ I543 + 4 <= I532 /\ I544 + 4 <= I532 /\ I545 + 9 <= I533 /\ I546 + 9 <= I533 /\ I541 + 7 <= I533 /\ I549 + 5 <= I533 /\ I542 + 2 <= I533 /\ I551 + 4 <= I533 /\ I550 + 4 <= I533 /\ I536 = I538 /\ I541 = I547 /\ I542 = I548] 13.43/13.45 f6(I575, I576, I577, I578, I579, I580, I581, I582, I583, I584, I585, I586, I587, I588, I589, I590, I591, I592, I593, I594, I595, I596, I597, I598, I599) -> f6(I600, I601, 1, 0, 0, I602, 0, I603, I604, I584, I585 - 1, I605, I606, I607, I608, I584, I585 - 1, I592, I609, I610, I611, I612, I613, I614, I615) [-1 <= I578 - 1 /\ 0 <= I585 - 1 /\ I616 <= I578 - 1 /\ I602 <= I579 - 1 /\ -1 <= I579 - 1 /\ 0 <= I616 - 1 /\ 0 <= I602 - 1 /\ 8 <= I575 - 1 /\ 8 <= I576 - 1 /\ 8 <= I600 - 1 /\ 8 <= I601 - 1 /\ I582 + 9 <= I575 /\ I583 + 9 <= I575 /\ I584 + 7 <= I575 /\ I592 + 5 <= I575 /\ I585 + 2 <= I575 /\ I586 + 4 <= I575 /\ I587 + 4 <= I575 /\ I588 + 9 <= I576 /\ I589 + 9 <= I576 /\ I584 + 7 <= I576 /\ I592 + 5 <= I576 /\ I585 + 2 <= I576 /\ I594 + 4 <= I576 /\ I593 + 4 <= I576 /\ I579 = I581 /\ I584 = I590 /\ I585 = I591] 13.43/13.45 f6(I617, I618, I619, I620, I621, I622, I623, I624, I625, I626, I627, I628, I629, I630, I631, I632, I633, I634, I635, I636, I637, I638, I639, I640, I641) -> f6(I642, I643, I644, I620, I621, I645, I646, I647, I648, I626, I627 - 1, I649, I650, I651, I652, I626, I627 - 1, I634, I653, I654, I655, I656, I657, I658, I659) [0 <= I622 - 1 /\ 0 <= I619 - 1 /\ 0 <= I623 - 1 /\ 0 <= I627 - 1 /\ I619 <= I644 - 1 /\ 0 <= I620 - 1 /\ I619 <= I621 - 1 /\ 0 <= I621 - 1 /\ I645 <= I622 - 1 /\ I660 <= I646 - 1 /\ I660 <= I623 - 1 /\ -1 <= I660 - 1 /\ I660 <= I645 - 1 /\ 8 <= I617 - 1 /\ 8 <= I618 - 1 /\ 8 <= I642 - 1 /\ 8 <= I643 - 1 /\ I624 + 9 <= I617 /\ I625 + 9 <= I617 /\ I626 + 7 <= I617 /\ I634 + 5 <= I617 /\ I627 + 2 <= I617 /\ I628 + 4 <= I617 /\ I629 + 4 <= I617 /\ I630 + 9 <= I618 /\ I631 + 9 <= I618 /\ I626 + 7 <= I618 /\ I634 + 5 <= I618 /\ I627 + 2 <= I618 /\ I636 + 4 <= I618 /\ I635 + 4 <= I618 /\ I626 = I632 /\ I627 = I633] 13.43/13.45 f4(I661, I662, I663, I664, I665, I666, I667, I668, I669, I670, I671, I672, I673, I674, I675, I676, I677, I678, I679, I680, I681, I682, I683, I684, I685) -> f6(I686, I687, I666, I665, I666, I666, I666, I688, I689, I678, I678, I690, I691, I692, I693, I678, I678, I679, I694, I695, I696, I697, I698, I699, I700) [0 = I673 /\ I678 + 5 <= I663 /\ I679 + 3 <= I663 /\ I677 + 7 <= I663 /\ I676 + 7 <= I663 /\ I675 + 4 <= I662 /\ I674 + 4 <= I662 /\ I679 + 5 <= I662 /\ I678 + 7 <= I662 /\ I672 + 9 <= I662 /\ I671 + 9 <= I662 /\ I670 + 4 <= I661 /\ I669 + 4 <= I661 /\ I679 + 5 <= I661 /\ I678 + 7 <= I661 /\ I668 + 9 <= I661 /\ I667 + 9 <= I661 /\ 8 <= I687 - 1 /\ 8 <= I686 - 1 /\ 6 <= I663 - 1 /\ 8 <= I662 - 1 /\ I664 <= 0 /\ 8 <= I661 - 1] 13.43/13.45 f5(I701, I702, I703, I704, I705, I706, I707, I708, I709, I710, I711, I712, I713, I714, I715, I716, I717, I718, I719, I720, I721, I722, I723, I724, I725) -> f4(I726, I727, I728, I729, I702, I703, I730, I731, I732, I733, I734, I735, 0, I736, I737, I738, I739, I706, I707, I740, I741, I742, I743, I744, I745) [I706 + 5 <= I701 /\ I707 + 3 <= I701 /\ I705 + 7 <= I701 /\ I704 + 7 <= I701 /\ 6 <= I728 - 1 /\ 8 <= I727 - 1 /\ 8 <= I726 - 1 /\ -1 <= I706 - 1 /\ 6 <= I701 - 1] 13.43/13.45 f3(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) -> f4(I771, I772, I773, I774, I775, I776, I777, I778, I779, I780, I781, I782, 0, I783, I784, I785, I786, I787, I788, I789, I790, I791, I792, I793, I794) [-1 <= I787 - 1 /\ 0 <= I747 - 1 /\ -1 <= I795 - 1 /\ 0 <= I746 - 1 /\ 8 <= I771 - 1 /\ 8 <= I772 - 1 /\ 6 <= I773 - 1] 13.43/13.45 f1(I796, I797, I798, I799, I800, I801, I802, I803, I804, I805, I806, I807, I808, I809, I810, I811, I812, I813, I814, I815, I816, I817, I818, I819, I820) -> f2(I796, I821, 0, 0, I798, I822, I823, 0, 0, 0, I824, I825, I826, I827, I798, I799, I799, I828, I800, I829, I830, I801, I802, I831, I832) [I822 = I823 /\ I801 + 5 <= I797 /\ I802 + 3 <= I797 /\ 9 <= I821 - 1 /\ 9 <= I797 - 1] 13.43/13.45 13.43/13.45 The dependency graph for this problem is: 13.43/13.45 0 -> 4, 18 13.43/13.45 1 -> 13.43/13.45 2 -> 1, 2 13.43/13.45 3 -> 13.43/13.45 4 -> 19 13.43/13.45 5 -> 5 13.43/13.45 6 -> 5 13.43/13.45 7 -> 5 13.43/13.45 8 -> 5 13.43/13.45 9 -> 5 13.43/13.45 10 -> 5 13.43/13.45 11 -> 8, 11 13.43/13.45 12 -> 8, 11 13.43/13.45 13 -> 8, 11, 13 13.43/13.45 14 -> 8, 11 13.43/13.45 15 -> 8, 11, 12, 13, 14, 15 13.43/13.45 16 -> 8, 11, 12, 13, 14, 15 13.43/13.45 17 -> 6, 7, 9, 10, 16 13.43/13.45 18 -> 6, 7, 9, 10, 16 13.43/13.45 19 -> 3 13.43/13.45 Where: 13.43/13.45 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) -> f3#(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) 13.43/13.45 1) f8#(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) -> f8#(I25, I1 - 1, 0, 1, 1, I26, I27, I7, I28, I9, I29, I11, 0, 2, I30, I31, I32, I33, I34, I19 + 1, I35, I36, I37, I23 + 1, I24 + 1) [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 <= I25 - 1 /\ I20 + 9 <= I0 /\ I21 + 9 <= I0 /\ I22 + 9 <= I0 /\ I24 + 3 <= I0 /\ I23 + 5 <= I0 /\ I7 = I8 /\ I9 = I10 /\ I11 = I12 /\ I6 = I15] 13.43/13.45 2) f8#(I38, I39, I40, I41, I42, I43, I44, I45, I46, I47, I48, I49, I50, I51, I52, I53, I54, I55, I56, I57, I58, I59, I60, I61, I62) -> f8#(I63, I39 - 1, I40, I64, I65, I43, I44, I45, I66, I47, I67, I49, I68, I69, I70, I71, I72, I73, I74, I57 + 1, I75, I76, I77, I61 + 1, I62 + 1) [0 <= I39 - 1 /\ -1 <= I78 - 1 /\ 0 <= I43 - 1 /\ 0 <= I40 - 1 /\ -1 <= I57 - 1 /\ I57 <= I78 - 1 /\ 0 <= I47 - 1 /\ 0 <= I41 - 1 /\ 0 <= I50 - 1 /\ 0 <= I48 - 1 /\ 0 <= I49 - 1 /\ -1 <= I79 - 1 /\ 0 <= I46 - 1 /\ 0 <= I42 - 1 /\ 0 <= I56 - 1 /\ 0 <= I51 - 1 /\ 0 <= I55 - 1 /\ 0 <= I54 - 1 /\ 0 <= I52 - 1 /\ 0 <= I53 - 1 /\ -1 <= I62 - 1 /\ -1 <= I61 - 1 /\ 9 <= I38 - 1 /\ 9 <= I63 - 1 /\ I58 + 9 <= I38 /\ I59 + 9 <= I38 /\ I60 + 9 <= I38 /\ I62 + 3 <= I38 /\ I61 + 5 <= I38] 13.43/13.45 3) f2#(I80, I81, I82, I83, I84, I85, I86, I87, I88, I89, I90, I91, I92, I93, I94, I95, I96, I97, I98, I99, I100, I101, I102, I103, I104) -> f8#(I105, I80, I92, I90, I86, I91, I85, I106, I82, I93, I84, 0, I83, I87, I88, I89, I94, I95, I96, I98, I107, I108, I109, I101, I102) [I101 + 5 <= I81 /\ I102 + 3 <= I81 /\ I100 + 9 <= I81 /\ I99 + 9 <= I81 /\ 11 <= I105 - 1 /\ 11 <= I81 - 1] 13.43/13.45 4) f3#(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) -> f1#(I135, I136, I137, I138, 1, 0, 0, I139, I140, I141, I142, I143, I144, I145, I146, I147, I148, I149, I150, I151, I152, I153, I154, I155, I156) [7 <= I136 - 1 /\ 0 <= I110 - 1 /\ I136 - 7 <= I110 /\ 0 <= I111 - 1 /\ -1 <= I135 - 1] 13.43/13.45 5) f7#(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) -> f7#(I182, I158, I159 + 1, I160, I183, I184, I185, I186, I187, I188, I189, I190, I191, I192, I193, I194, I195, I196, I197, I198, I199, I200, I201, I202, I203) [I161 + 4 <= I157 /\ I162 + 4 <= I157 /\ I159 + 2 <= I157 /\ I160 + 5 <= I157 /\ I158 + 7 <= I157 /\ 7 <= I182 - 1 /\ 7 <= I157 - 1 /\ I159 <= I158 - 1 /\ -1 <= I159 - 1] 13.43/13.45 6) f4#(I204, I205, I206, I207, I208, I209, I210, I211, I212, I213, I214, I215, I216, I217, I218, I219, I220, I221, I222, I223, I224, I225, I226, I227, I228) -> f7#(I229, I221, 0, I222, I230, I231, I232, I233, I234, I235, I236, I237, I238, I239, I240, I241, I242, I243, I244, I245, I246, I247, I248, I249, I250) [-1 <= I208 - 1 /\ 0 <= I207 - 1 /\ I251 <= I208 - 1 /\ I252 <= I209 - 1 /\ 0 <= I251 - 1 /\ -1 <= I209 - 1 /\ 8 <= I204 - 1 /\ 8 <= I205 - 1 /\ 6 <= I206 - 1 /\ 9 <= I229 - 1 /\ I210 + 9 <= I204 /\ I211 + 9 <= I204 /\ I221 + 7 <= I204 /\ I222 + 5 <= I204 /\ I212 + 4 <= I204 /\ I213 + 4 <= I204 /\ I214 + 9 <= I205 /\ I215 + 9 <= I205 /\ I221 + 7 <= I205 /\ I222 + 5 <= I205 /\ I217 + 4 <= I205 /\ I218 + 4 <= I205 /\ I219 + 7 <= I206 /\ I220 + 7 <= I206 /\ I222 + 3 <= I206 /\ I221 + 5 <= I206 /\ 0 = I216] 13.43/13.45 7) f4#(I253, I254, I255, I256, I257, I258, I259, I260, I261, I262, I263, I264, I265, I266, I267, I268, I269, I270, I271, I272, I273, I274, I275, I276, I277) -> f7#(I278, I270, 0, I271, I279, I280, I281, I282, I283, I284, I285, I286, I287, I288, I289, I290, I291, I292, I293, I294, I295, I296, I297, I298, I299) [-1 <= I257 - 1 /\ 0 <= I256 - 1 /\ I300 <= I257 - 1 /\ I301 <= I258 - 1 /\ -1 <= I258 - 1 /\ 0 <= I301 - 1 /\ 0 <= I300 - 1 /\ 8 <= I253 - 1 /\ 8 <= I254 - 1 /\ 6 <= I255 - 1 /\ 9 <= I278 - 1 /\ I259 + 9 <= I253 /\ I260 + 9 <= I253 /\ I270 + 7 <= I253 /\ I271 + 5 <= I253 /\ I261 + 4 <= I253 /\ I262 + 4 <= I253 /\ I263 + 9 <= I254 /\ I264 + 9 <= I254 /\ I270 + 7 <= I254 /\ I271 + 5 <= I254 /\ I266 + 4 <= I254 /\ I267 + 4 <= I254 /\ I268 + 7 <= I255 /\ I269 + 7 <= I255 /\ I271 + 3 <= I255 /\ I270 + 5 <= I255 /\ 0 = I265] 13.43/13.45 8) f6#(I302, I303, I304, I305, I306, I307, I308, I309, I310, I311, I312, I313, I314, I315, I316, I317, I318, I319, I320, I321, I322, I323, I324, I325, I326) -> f7#(I327, I311, 0, I319, I328, I329, I330, I331, I332, I333, I334, I335, I336, I337, I338, I339, I340, I341, I342, I343, I344, I345, I346, I347, I348) [0 = I318 /\ I311 = I317 /\ 0 = I312 /\ I320 + 4 <= I303 /\ I321 + 4 <= I303 /\ I319 + 5 <= I303 /\ I311 + 7 <= I303 /\ I316 + 9 <= I303 /\ I315 + 9 <= I303 /\ I314 + 4 <= I302 /\ I313 + 4 <= I302 /\ I319 + 5 <= I302 /\ I311 + 7 <= I302 /\ I310 + 9 <= I302 /\ I309 + 9 <= I302 /\ 8 <= I327 - 1 /\ 8 <= I303 - 1 /\ 8 <= I302 - 1] 13.43/13.45 9) f4#(I349, I350, I351, I352, I353, I354, I355, I356, I357, I358, I359, I360, I361, I362, I363, I364, I365, I366, I367, I368, I369, I370, I371, I372, I373) -> f7#(I374, I366, 0, I367, I375, I376, I377, I378, I379, I380, I381, I382, I383, I384, I385, I386, I387, I388, I389, I390, I391, I392, I393, I394, I395) [-1 <= I353 - 1 /\ 0 <= I352 - 1 /\ I396 <= I353 - 1 /\ -1 <= I354 - 1 /\ I397 <= I354 - 1 /\ 8 <= I349 - 1 /\ 8 <= I350 - 1 /\ 6 <= I351 - 1 /\ 8 <= I374 - 1 /\ I355 + 9 <= I349 /\ I356 + 9 <= I349 /\ I366 + 7 <= I349 /\ I367 + 5 <= I349 /\ I357 + 4 <= I349 /\ I358 + 4 <= I349 /\ I359 + 9 <= I350 /\ I360 + 9 <= I350 /\ I366 + 7 <= I350 /\ I367 + 5 <= I350 /\ I362 + 4 <= I350 /\ I363 + 4 <= I350 /\ I364 + 7 <= I351 /\ I365 + 7 <= I351 /\ I367 + 3 <= I351 /\ I366 + 5 <= I351 /\ 0 = I361] 13.43/13.45 10) f4#(I398, I399, I400, I401, I402, I403, I404, I405, I406, I407, I408, I409, I410, I411, I412, I413, I414, I415, I416, I417, I418, I419, I420, I421, I422) -> f7#(I423, I415, 0, I416, I424, I425, I426, I427, I428, I429, I430, I431, I432, I433, I434, I435, I436, I437, I438, I439, I440, I441, I442, I443, I444) [-1 <= I402 - 1 /\ 0 <= I401 - 1 /\ I445 <= I402 - 1 /\ I446 <= I403 - 1 /\ 0 <= I446 - 1 /\ -1 <= I403 - 1 /\ 8 <= I398 - 1 /\ 8 <= I399 - 1 /\ 6 <= I400 - 1 /\ 8 <= I423 - 1 /\ I404 + 9 <= I398 /\ I405 + 9 <= I398 /\ I415 + 7 <= I398 /\ I416 + 5 <= I398 /\ I406 + 4 <= I398 /\ I407 + 4 <= I398 /\ I408 + 9 <= I399 /\ I409 + 9 <= I399 /\ I415 + 7 <= I399 /\ I416 + 5 <= I399 /\ I411 + 4 <= I399 /\ I412 + 4 <= I399 /\ I413 + 7 <= I400 /\ I414 + 7 <= I400 /\ I416 + 3 <= I400 /\ I415 + 5 <= I400 /\ 0 = I410] 13.43/13.45 11) f6#(I447, I448, I449, I450, I451, I452, I453, I454, I455, I456, I457, I458, I459, I460, I461, I462, I463, I464, I465, I466, I467, I468, I469, I470, I471) -> f6#(I472, I473, 1, 1, 1, 1, 1, I474, I475, I456, I457 - 1, I476, I477, I478, I479, I456, I457 - 1, I464, I480, I481, I482, I483, I484, I485, I486) [-1 <= I450 - 1 /\ 0 <= I457 - 1 /\ I487 <= I450 - 1 /\ I488 <= I451 - 1 /\ -1 <= I451 - 1 /\ 8 <= I447 - 1 /\ 8 <= I448 - 1 /\ 8 <= I472 - 1 /\ 8 <= I473 - 1 /\ I454 + 9 <= I447 /\ I455 + 9 <= I447 /\ I456 + 7 <= I447 /\ I464 + 5 <= I447 /\ I457 + 2 <= I447 /\ I458 + 4 <= I447 /\ I459 + 4 <= I447 /\ I460 + 9 <= I448 /\ I461 + 9 <= I448 /\ I456 + 7 <= I448 /\ I464 + 5 <= I448 /\ I457 + 2 <= I448 /\ I466 + 4 <= I448 /\ I465 + 4 <= I448 /\ I451 = I453 /\ I456 = I462 /\ I457 = I463] 13.43/13.45 12) f6#(I489, I490, I491, I492, I493, I494, I495, I496, I497, I498, I499, I500, I501, I502, I503, I504, I505, I506, I507, I508, I509, I510, I511, I512, I513) -> f6#(I514, I515, 1, 1, I516, I517, 0, I518, I519, I498, I499 - 1, I520, I521, I522, I523, I498, I499 - 1, I506, I524, I525, I526, I527, I528, I529, I530) [-1 <= I492 - 1 /\ 0 <= I499 - 1 /\ I531 <= I492 - 1 /\ I517 <= I493 - 1 /\ -1 <= I493 - 1 /\ 0 <= I517 - 1 /\ 8 <= I489 - 1 /\ 8 <= I490 - 1 /\ 8 <= I514 - 1 /\ 8 <= I515 - 1 /\ I496 + 9 <= I489 /\ I497 + 9 <= I489 /\ I498 + 7 <= I489 /\ I506 + 5 <= I489 /\ I499 + 2 <= I489 /\ I500 + 4 <= I489 /\ I501 + 4 <= I489 /\ I502 + 9 <= I490 /\ I503 + 9 <= I490 /\ I498 + 7 <= I490 /\ I506 + 5 <= I490 /\ I499 + 2 <= I490 /\ I508 + 4 <= I490 /\ I507 + 4 <= I490 /\ I493 = I495 /\ I498 = I504 /\ I499 = I505] 13.43/13.45 13) f6#(I532, I533, I534, I535, I536, I537, I538, I539, I540, I541, I542, I543, I544, I545, I546, I547, I548, I549, I550, I551, I552, I553, I554, I555, I556) -> f6#(I557, I558, 1, I559, 1, 1, 1, I560, I561, I541, I542 - 1, I562, I563, I564, I565, I541, I542 - 1, I549, I566, I567, I568, I569, I570, I571, I572) [-1 <= I535 - 1 /\ 0 <= I542 - 1 /\ I573 <= I535 - 1 /\ I574 <= I536 - 1 /\ -1 <= I536 - 1 /\ 0 <= I573 - 1 /\ 8 <= I532 - 1 /\ 8 <= I533 - 1 /\ 8 <= I557 - 1 /\ 8 <= I558 - 1 /\ I539 + 9 <= I532 /\ I540 + 9 <= I532 /\ I541 + 7 <= I532 /\ I549 + 5 <= I532 /\ I542 + 2 <= I532 /\ I543 + 4 <= I532 /\ I544 + 4 <= I532 /\ I545 + 9 <= I533 /\ I546 + 9 <= I533 /\ I541 + 7 <= I533 /\ I549 + 5 <= I533 /\ I542 + 2 <= I533 /\ I551 + 4 <= I533 /\ I550 + 4 <= I533 /\ I536 = I538 /\ I541 = I547 /\ I542 = I548] 13.43/13.45 14) f6#(I575, I576, I577, I578, I579, I580, I581, I582, I583, I584, I585, I586, I587, I588, I589, I590, I591, I592, I593, I594, I595, I596, I597, I598, I599) -> f6#(I600, I601, 1, 0, 0, I602, 0, I603, I604, I584, I585 - 1, I605, I606, I607, I608, I584, I585 - 1, I592, I609, I610, I611, I612, I613, I614, I615) [-1 <= I578 - 1 /\ 0 <= I585 - 1 /\ I616 <= I578 - 1 /\ I602 <= I579 - 1 /\ -1 <= I579 - 1 /\ 0 <= I616 - 1 /\ 0 <= I602 - 1 /\ 8 <= I575 - 1 /\ 8 <= I576 - 1 /\ 8 <= I600 - 1 /\ 8 <= I601 - 1 /\ I582 + 9 <= I575 /\ I583 + 9 <= I575 /\ I584 + 7 <= I575 /\ I592 + 5 <= I575 /\ I585 + 2 <= I575 /\ I586 + 4 <= I575 /\ I587 + 4 <= I575 /\ I588 + 9 <= I576 /\ I589 + 9 <= I576 /\ I584 + 7 <= I576 /\ I592 + 5 <= I576 /\ I585 + 2 <= I576 /\ I594 + 4 <= I576 /\ I593 + 4 <= I576 /\ I579 = I581 /\ I584 = I590 /\ I585 = I591] 13.43/13.45 15) f6#(I617, I618, I619, I620, I621, I622, I623, I624, I625, I626, I627, I628, I629, I630, I631, I632, I633, I634, I635, I636, I637, I638, I639, I640, I641) -> f6#(I642, I643, I644, I620, I621, I645, I646, I647, I648, I626, I627 - 1, I649, I650, I651, I652, I626, I627 - 1, I634, I653, I654, I655, I656, I657, I658, I659) [0 <= I622 - 1 /\ 0 <= I619 - 1 /\ 0 <= I623 - 1 /\ 0 <= I627 - 1 /\ I619 <= I644 - 1 /\ 0 <= I620 - 1 /\ I619 <= I621 - 1 /\ 0 <= I621 - 1 /\ I645 <= I622 - 1 /\ I660 <= I646 - 1 /\ I660 <= I623 - 1 /\ -1 <= I660 - 1 /\ I660 <= I645 - 1 /\ 8 <= I617 - 1 /\ 8 <= I618 - 1 /\ 8 <= I642 - 1 /\ 8 <= I643 - 1 /\ I624 + 9 <= I617 /\ I625 + 9 <= I617 /\ I626 + 7 <= I617 /\ I634 + 5 <= I617 /\ I627 + 2 <= I617 /\ I628 + 4 <= I617 /\ I629 + 4 <= I617 /\ I630 + 9 <= I618 /\ I631 + 9 <= I618 /\ I626 + 7 <= I618 /\ I634 + 5 <= I618 /\ I627 + 2 <= I618 /\ I636 + 4 <= I618 /\ I635 + 4 <= I618 /\ I626 = I632 /\ I627 = I633] 13.43/13.45 16) f4#(I661, I662, I663, I664, I665, I666, I667, I668, I669, I670, I671, I672, I673, I674, I675, I676, I677, I678, I679, I680, I681, I682, I683, I684, I685) -> f6#(I686, I687, I666, I665, I666, I666, I666, I688, I689, I678, I678, I690, I691, I692, I693, I678, I678, I679, I694, I695, I696, I697, I698, I699, I700) [0 = I673 /\ I678 + 5 <= I663 /\ I679 + 3 <= I663 /\ I677 + 7 <= I663 /\ I676 + 7 <= I663 /\ I675 + 4 <= I662 /\ I674 + 4 <= I662 /\ I679 + 5 <= I662 /\ I678 + 7 <= I662 /\ I672 + 9 <= I662 /\ I671 + 9 <= I662 /\ I670 + 4 <= I661 /\ I669 + 4 <= I661 /\ I679 + 5 <= I661 /\ I678 + 7 <= I661 /\ I668 + 9 <= I661 /\ I667 + 9 <= I661 /\ 8 <= I687 - 1 /\ 8 <= I686 - 1 /\ 6 <= I663 - 1 /\ 8 <= I662 - 1 /\ I664 <= 0 /\ 8 <= I661 - 1] 13.43/13.45 17) f5#(I701, I702, I703, I704, I705, I706, I707, I708, I709, I710, I711, I712, I713, I714, I715, I716, I717, I718, I719, I720, I721, I722, I723, I724, I725) -> f4#(I726, I727, I728, I729, I702, I703, I730, I731, I732, I733, I734, I735, 0, I736, I737, I738, I739, I706, I707, I740, I741, I742, I743, I744, I745) [I706 + 5 <= I701 /\ I707 + 3 <= I701 /\ I705 + 7 <= I701 /\ I704 + 7 <= I701 /\ 6 <= I728 - 1 /\ 8 <= I727 - 1 /\ 8 <= I726 - 1 /\ -1 <= I706 - 1 /\ 6 <= I701 - 1] 13.43/13.45 18) f3#(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) -> f4#(I771, I772, I773, I774, I775, I776, I777, I778, I779, I780, I781, I782, 0, I783, I784, I785, I786, I787, I788, I789, I790, I791, I792, I793, I794) [-1 <= I787 - 1 /\ 0 <= I747 - 1 /\ -1 <= I795 - 1 /\ 0 <= I746 - 1 /\ 8 <= I771 - 1 /\ 8 <= I772 - 1 /\ 6 <= I773 - 1] 13.43/13.45 19) f1#(I796, I797, I798, I799, I800, I801, I802, I803, I804, I805, I806, I807, I808, I809, I810, I811, I812, I813, I814, I815, I816, I817, I818, I819, I820) -> f2#(I796, I821, 0, 0, I798, I822, I823, 0, 0, 0, I824, I825, I826, I827, I798, I799, I799, I828, I800, I829, I830, I801, I802, I831, I832) [I822 = I823 /\ I801 + 5 <= I797 /\ I802 + 3 <= I797 /\ 9 <= I821 - 1 /\ 9 <= I797 - 1] 13.43/13.45 13.43/13.45 We have the following SCCs. 13.43/13.45 { 2 } 13.43/13.45 { 15 } 13.43/13.45 { 13 } 13.43/13.45 { 11 } 13.43/13.45 { 5 } 13.43/13.45 13.43/13.45 DP problem for innermost termination. 13.43/13.45 P = 13.43/13.45 f7#(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) -> f7#(I182, I158, I159 + 1, I160, I183, I184, I185, I186, I187, I188, I189, I190, I191, I192, I193, I194, I195, I196, I197, I198, I199, I200, I201, I202, I203) [I161 + 4 <= I157 /\ I162 + 4 <= I157 /\ I159 + 2 <= I157 /\ I160 + 5 <= I157 /\ I158 + 7 <= I157 /\ 7 <= I182 - 1 /\ 7 <= I157 - 1 /\ I159 <= I158 - 1 /\ -1 <= I159 - 1] 13.43/13.45 R = 13.43/13.45 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) -> f3(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) 13.43/13.45 f8(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) -> f8(I25, I1 - 1, 0, 1, 1, I26, I27, I7, I28, I9, I29, I11, 0, 2, I30, I31, I32, I33, I34, I19 + 1, I35, I36, I37, I23 + 1, I24 + 1) [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 <= I25 - 1 /\ I20 + 9 <= I0 /\ I21 + 9 <= I0 /\ I22 + 9 <= I0 /\ I24 + 3 <= I0 /\ I23 + 5 <= I0 /\ I7 = I8 /\ I9 = I10 /\ I11 = I12 /\ I6 = I15] 13.43/13.45 f8(I38, I39, I40, I41, I42, I43, I44, I45, I46, I47, I48, I49, I50, I51, I52, I53, I54, I55, I56, I57, I58, I59, I60, I61, I62) -> f8(I63, I39 - 1, I40, I64, I65, I43, I44, I45, I66, I47, I67, I49, I68, I69, I70, I71, I72, I73, I74, I57 + 1, I75, I76, I77, I61 + 1, I62 + 1) [0 <= I39 - 1 /\ -1 <= I78 - 1 /\ 0 <= I43 - 1 /\ 0 <= I40 - 1 /\ -1 <= I57 - 1 /\ I57 <= I78 - 1 /\ 0 <= I47 - 1 /\ 0 <= I41 - 1 /\ 0 <= I50 - 1 /\ 0 <= I48 - 1 /\ 0 <= I49 - 1 /\ -1 <= I79 - 1 /\ 0 <= I46 - 1 /\ 0 <= I42 - 1 /\ 0 <= I56 - 1 /\ 0 <= I51 - 1 /\ 0 <= I55 - 1 /\ 0 <= I54 - 1 /\ 0 <= I52 - 1 /\ 0 <= I53 - 1 /\ -1 <= I62 - 1 /\ -1 <= I61 - 1 /\ 9 <= I38 - 1 /\ 9 <= I63 - 1 /\ I58 + 9 <= I38 /\ I59 + 9 <= I38 /\ I60 + 9 <= I38 /\ I62 + 3 <= I38 /\ I61 + 5 <= I38] 13.43/13.45 f2(I80, I81, I82, I83, I84, I85, I86, I87, I88, I89, I90, I91, I92, I93, I94, I95, I96, I97, I98, I99, I100, I101, I102, I103, I104) -> f8(I105, I80, I92, I90, I86, I91, I85, I106, I82, I93, I84, 0, I83, I87, I88, I89, I94, I95, I96, I98, I107, I108, I109, I101, I102) [I101 + 5 <= I81 /\ I102 + 3 <= I81 /\ I100 + 9 <= I81 /\ I99 + 9 <= I81 /\ 11 <= I105 - 1 /\ 11 <= I81 - 1] 13.43/13.45 f3(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) -> f1(I135, I136, I137, I138, 1, 0, 0, I139, I140, I141, I142, I143, I144, I145, I146, I147, I148, I149, I150, I151, I152, I153, I154, I155, I156) [7 <= I136 - 1 /\ 0 <= I110 - 1 /\ I136 - 7 <= I110 /\ 0 <= I111 - 1 /\ -1 <= I135 - 1] 13.43/13.45 f7(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) -> f7(I182, I158, I159 + 1, I160, I183, I184, I185, I186, I187, I188, I189, I190, I191, I192, I193, I194, I195, I196, I197, I198, I199, I200, I201, I202, I203) [I161 + 4 <= I157 /\ I162 + 4 <= I157 /\ I159 + 2 <= I157 /\ I160 + 5 <= I157 /\ I158 + 7 <= I157 /\ 7 <= I182 - 1 /\ 7 <= I157 - 1 /\ I159 <= I158 - 1 /\ -1 <= I159 - 1] 13.43/13.45 f4(I204, I205, I206, I207, I208, I209, I210, I211, I212, I213, I214, I215, I216, I217, I218, I219, I220, I221, I222, I223, I224, I225, I226, I227, I228) -> f7(I229, I221, 0, I222, I230, I231, I232, I233, I234, I235, I236, I237, I238, I239, I240, I241, I242, I243, I244, I245, I246, I247, I248, I249, I250) [-1 <= I208 - 1 /\ 0 <= I207 - 1 /\ I251 <= I208 - 1 /\ I252 <= I209 - 1 /\ 0 <= I251 - 1 /\ -1 <= I209 - 1 /\ 8 <= I204 - 1 /\ 8 <= I205 - 1 /\ 6 <= I206 - 1 /\ 9 <= I229 - 1 /\ I210 + 9 <= I204 /\ I211 + 9 <= I204 /\ I221 + 7 <= I204 /\ I222 + 5 <= I204 /\ I212 + 4 <= I204 /\ I213 + 4 <= I204 /\ I214 + 9 <= I205 /\ I215 + 9 <= I205 /\ I221 + 7 <= I205 /\ I222 + 5 <= I205 /\ I217 + 4 <= I205 /\ I218 + 4 <= I205 /\ I219 + 7 <= I206 /\ I220 + 7 <= I206 /\ I222 + 3 <= I206 /\ I221 + 5 <= I206 /\ 0 = I216] 13.43/13.45 f4(I253, I254, I255, I256, I257, I258, I259, I260, I261, I262, I263, I264, I265, I266, I267, I268, I269, I270, I271, I272, I273, I274, I275, I276, I277) -> f7(I278, I270, 0, I271, I279, I280, I281, I282, I283, I284, I285, I286, I287, I288, I289, I290, I291, I292, I293, I294, I295, I296, I297, I298, I299) [-1 <= I257 - 1 /\ 0 <= I256 - 1 /\ I300 <= I257 - 1 /\ I301 <= I258 - 1 /\ -1 <= I258 - 1 /\ 0 <= I301 - 1 /\ 0 <= I300 - 1 /\ 8 <= I253 - 1 /\ 8 <= I254 - 1 /\ 6 <= I255 - 1 /\ 9 <= I278 - 1 /\ I259 + 9 <= I253 /\ I260 + 9 <= I253 /\ I270 + 7 <= I253 /\ I271 + 5 <= I253 /\ I261 + 4 <= I253 /\ I262 + 4 <= I253 /\ I263 + 9 <= I254 /\ I264 + 9 <= I254 /\ I270 + 7 <= I254 /\ I271 + 5 <= I254 /\ I266 + 4 <= I254 /\ I267 + 4 <= I254 /\ I268 + 7 <= I255 /\ I269 + 7 <= I255 /\ I271 + 3 <= I255 /\ I270 + 5 <= I255 /\ 0 = I265] 13.43/13.45 f6(I302, I303, I304, I305, I306, I307, I308, I309, I310, I311, I312, I313, I314, I315, I316, I317, I318, I319, I320, I321, I322, I323, I324, I325, I326) -> f7(I327, I311, 0, I319, I328, I329, I330, I331, I332, I333, I334, I335, I336, I337, I338, I339, I340, I341, I342, I343, I344, I345, I346, I347, I348) [0 = I318 /\ I311 = I317 /\ 0 = I312 /\ I320 + 4 <= I303 /\ I321 + 4 <= I303 /\ I319 + 5 <= I303 /\ I311 + 7 <= I303 /\ I316 + 9 <= I303 /\ I315 + 9 <= I303 /\ I314 + 4 <= I302 /\ I313 + 4 <= I302 /\ I319 + 5 <= I302 /\ I311 + 7 <= I302 /\ I310 + 9 <= I302 /\ I309 + 9 <= I302 /\ 8 <= I327 - 1 /\ 8 <= I303 - 1 /\ 8 <= I302 - 1] 13.43/13.45 f4(I349, I350, I351, I352, I353, I354, I355, I356, I357, I358, I359, I360, I361, I362, I363, I364, I365, I366, I367, I368, I369, I370, I371, I372, I373) -> f7(I374, I366, 0, I367, I375, I376, I377, I378, I379, I380, I381, I382, I383, I384, I385, I386, I387, I388, I389, I390, I391, I392, I393, I394, I395) [-1 <= I353 - 1 /\ 0 <= I352 - 1 /\ I396 <= I353 - 1 /\ -1 <= I354 - 1 /\ I397 <= I354 - 1 /\ 8 <= I349 - 1 /\ 8 <= I350 - 1 /\ 6 <= I351 - 1 /\ 8 <= I374 - 1 /\ I355 + 9 <= I349 /\ I356 + 9 <= I349 /\ I366 + 7 <= I349 /\ I367 + 5 <= I349 /\ I357 + 4 <= I349 /\ I358 + 4 <= I349 /\ I359 + 9 <= I350 /\ I360 + 9 <= I350 /\ I366 + 7 <= I350 /\ I367 + 5 <= I350 /\ I362 + 4 <= I350 /\ I363 + 4 <= I350 /\ I364 + 7 <= I351 /\ I365 + 7 <= I351 /\ I367 + 3 <= I351 /\ I366 + 5 <= I351 /\ 0 = I361] 13.43/13.45 f4(I398, I399, I400, I401, I402, I403, I404, I405, I406, I407, I408, I409, I410, I411, I412, I413, I414, I415, I416, I417, I418, I419, I420, I421, I422) -> f7(I423, I415, 0, I416, I424, I425, I426, I427, I428, I429, I430, I431, I432, I433, I434, I435, I436, I437, I438, I439, I440, I441, I442, I443, I444) [-1 <= I402 - 1 /\ 0 <= I401 - 1 /\ I445 <= I402 - 1 /\ I446 <= I403 - 1 /\ 0 <= I446 - 1 /\ -1 <= I403 - 1 /\ 8 <= I398 - 1 /\ 8 <= I399 - 1 /\ 6 <= I400 - 1 /\ 8 <= I423 - 1 /\ I404 + 9 <= I398 /\ I405 + 9 <= I398 /\ I415 + 7 <= I398 /\ I416 + 5 <= I398 /\ I406 + 4 <= I398 /\ I407 + 4 <= I398 /\ I408 + 9 <= I399 /\ I409 + 9 <= I399 /\ I415 + 7 <= I399 /\ I416 + 5 <= I399 /\ I411 + 4 <= I399 /\ I412 + 4 <= I399 /\ I413 + 7 <= I400 /\ I414 + 7 <= I400 /\ I416 + 3 <= I400 /\ I415 + 5 <= I400 /\ 0 = I410] 13.43/13.45 f6(I447, I448, I449, I450, I451, I452, I453, I454, I455, I456, I457, I458, I459, I460, I461, I462, I463, I464, I465, I466, I467, I468, I469, I470, I471) -> f6(I472, I473, 1, 1, 1, 1, 1, I474, I475, I456, I457 - 1, I476, I477, I478, I479, I456, I457 - 1, I464, I480, I481, I482, I483, I484, I485, I486) [-1 <= I450 - 1 /\ 0 <= I457 - 1 /\ I487 <= I450 - 1 /\ I488 <= I451 - 1 /\ -1 <= I451 - 1 /\ 8 <= I447 - 1 /\ 8 <= I448 - 1 /\ 8 <= I472 - 1 /\ 8 <= I473 - 1 /\ I454 + 9 <= I447 /\ I455 + 9 <= I447 /\ I456 + 7 <= I447 /\ I464 + 5 <= I447 /\ I457 + 2 <= I447 /\ I458 + 4 <= I447 /\ I459 + 4 <= I447 /\ I460 + 9 <= I448 /\ I461 + 9 <= I448 /\ I456 + 7 <= I448 /\ I464 + 5 <= I448 /\ I457 + 2 <= I448 /\ I466 + 4 <= I448 /\ I465 + 4 <= I448 /\ I451 = I453 /\ I456 = I462 /\ I457 = I463] 13.43/13.45 f6(I489, I490, I491, I492, I493, I494, I495, I496, I497, I498, I499, I500, I501, I502, I503, I504, I505, I506, I507, I508, I509, I510, I511, I512, I513) -> f6(I514, I515, 1, 1, I516, I517, 0, I518, I519, I498, I499 - 1, I520, I521, I522, I523, I498, I499 - 1, I506, I524, I525, I526, I527, I528, I529, I530) [-1 <= I492 - 1 /\ 0 <= I499 - 1 /\ I531 <= I492 - 1 /\ I517 <= I493 - 1 /\ -1 <= I493 - 1 /\ 0 <= I517 - 1 /\ 8 <= I489 - 1 /\ 8 <= I490 - 1 /\ 8 <= I514 - 1 /\ 8 <= I515 - 1 /\ I496 + 9 <= I489 /\ I497 + 9 <= I489 /\ I498 + 7 <= I489 /\ I506 + 5 <= I489 /\ I499 + 2 <= I489 /\ I500 + 4 <= I489 /\ I501 + 4 <= I489 /\ I502 + 9 <= I490 /\ I503 + 9 <= I490 /\ I498 + 7 <= I490 /\ I506 + 5 <= I490 /\ I499 + 2 <= I490 /\ I508 + 4 <= I490 /\ I507 + 4 <= I490 /\ I493 = I495 /\ I498 = I504 /\ I499 = I505] 13.43/13.45 f6(I532, I533, I534, I535, I536, I537, I538, I539, I540, I541, I542, I543, I544, I545, I546, I547, I548, I549, I550, I551, I552, I553, I554, I555, I556) -> f6(I557, I558, 1, I559, 1, 1, 1, I560, I561, I541, I542 - 1, I562, I563, I564, I565, I541, I542 - 1, I549, I566, I567, I568, I569, I570, I571, I572) [-1 <= I535 - 1 /\ 0 <= I542 - 1 /\ I573 <= I535 - 1 /\ I574 <= I536 - 1 /\ -1 <= I536 - 1 /\ 0 <= I573 - 1 /\ 8 <= I532 - 1 /\ 8 <= I533 - 1 /\ 8 <= I557 - 1 /\ 8 <= I558 - 1 /\ I539 + 9 <= I532 /\ I540 + 9 <= I532 /\ I541 + 7 <= I532 /\ I549 + 5 <= I532 /\ I542 + 2 <= I532 /\ I543 + 4 <= I532 /\ I544 + 4 <= I532 /\ I545 + 9 <= I533 /\ I546 + 9 <= I533 /\ I541 + 7 <= I533 /\ I549 + 5 <= I533 /\ I542 + 2 <= I533 /\ I551 + 4 <= I533 /\ I550 + 4 <= I533 /\ I536 = I538 /\ I541 = I547 /\ I542 = I548] 13.43/13.45 f6(I575, I576, I577, I578, I579, I580, I581, I582, I583, I584, I585, I586, I587, I588, I589, I590, I591, I592, I593, I594, I595, I596, I597, I598, I599) -> f6(I600, I601, 1, 0, 0, I602, 0, I603, I604, I584, I585 - 1, I605, I606, I607, I608, I584, I585 - 1, I592, I609, I610, I611, I612, I613, I614, I615) [-1 <= I578 - 1 /\ 0 <= I585 - 1 /\ I616 <= I578 - 1 /\ I602 <= I579 - 1 /\ -1 <= I579 - 1 /\ 0 <= I616 - 1 /\ 0 <= I602 - 1 /\ 8 <= I575 - 1 /\ 8 <= I576 - 1 /\ 8 <= I600 - 1 /\ 8 <= I601 - 1 /\ I582 + 9 <= I575 /\ I583 + 9 <= I575 /\ I584 + 7 <= I575 /\ I592 + 5 <= I575 /\ I585 + 2 <= I575 /\ I586 + 4 <= I575 /\ I587 + 4 <= I575 /\ I588 + 9 <= I576 /\ I589 + 9 <= I576 /\ I584 + 7 <= I576 /\ I592 + 5 <= I576 /\ I585 + 2 <= I576 /\ I594 + 4 <= I576 /\ I593 + 4 <= I576 /\ I579 = I581 /\ I584 = I590 /\ I585 = I591] 13.43/13.45 f6(I617, I618, I619, I620, I621, I622, I623, I624, I625, I626, I627, I628, I629, I630, I631, I632, I633, I634, I635, I636, I637, I638, I639, I640, I641) -> f6(I642, I643, I644, I620, I621, I645, I646, I647, I648, I626, I627 - 1, I649, I650, I651, I652, I626, I627 - 1, I634, I653, I654, I655, I656, I657, I658, I659) [0 <= I622 - 1 /\ 0 <= I619 - 1 /\ 0 <= I623 - 1 /\ 0 <= I627 - 1 /\ I619 <= I644 - 1 /\ 0 <= I620 - 1 /\ I619 <= I621 - 1 /\ 0 <= I621 - 1 /\ I645 <= I622 - 1 /\ I660 <= I646 - 1 /\ I660 <= I623 - 1 /\ -1 <= I660 - 1 /\ I660 <= I645 - 1 /\ 8 <= I617 - 1 /\ 8 <= I618 - 1 /\ 8 <= I642 - 1 /\ 8 <= I643 - 1 /\ I624 + 9 <= I617 /\ I625 + 9 <= I617 /\ I626 + 7 <= I617 /\ I634 + 5 <= I617 /\ I627 + 2 <= I617 /\ I628 + 4 <= I617 /\ I629 + 4 <= I617 /\ I630 + 9 <= I618 /\ I631 + 9 <= I618 /\ I626 + 7 <= I618 /\ I634 + 5 <= I618 /\ I627 + 2 <= I618 /\ I636 + 4 <= I618 /\ I635 + 4 <= I618 /\ I626 = I632 /\ I627 = I633] 13.43/13.45 f4(I661, I662, I663, I664, I665, I666, I667, I668, I669, I670, I671, I672, I673, I674, I675, I676, I677, I678, I679, I680, I681, I682, I683, I684, I685) -> f6(I686, I687, I666, I665, I666, I666, I666, I688, I689, I678, I678, I690, I691, I692, I693, I678, I678, I679, I694, I695, I696, I697, I698, I699, I700) [0 = I673 /\ I678 + 5 <= I663 /\ I679 + 3 <= I663 /\ I677 + 7 <= I663 /\ I676 + 7 <= I663 /\ I675 + 4 <= I662 /\ I674 + 4 <= I662 /\ I679 + 5 <= I662 /\ I678 + 7 <= I662 /\ I672 + 9 <= I662 /\ I671 + 9 <= I662 /\ I670 + 4 <= I661 /\ I669 + 4 <= I661 /\ I679 + 5 <= I661 /\ I678 + 7 <= I661 /\ I668 + 9 <= I661 /\ I667 + 9 <= I661 /\ 8 <= I687 - 1 /\ 8 <= I686 - 1 /\ 6 <= I663 - 1 /\ 8 <= I662 - 1 /\ I664 <= 0 /\ 8 <= I661 - 1] 13.43/13.45 f5(I701, I702, I703, I704, I705, I706, I707, I708, I709, I710, I711, I712, I713, I714, I715, I716, I717, I718, I719, I720, I721, I722, I723, I724, I725) -> f4(I726, I727, I728, I729, I702, I703, I730, I731, I732, I733, I734, I735, 0, I736, I737, I738, I739, I706, I707, I740, I741, I742, I743, I744, I745) [I706 + 5 <= I701 /\ I707 + 3 <= I701 /\ I705 + 7 <= I701 /\ I704 + 7 <= I701 /\ 6 <= I728 - 1 /\ 8 <= I727 - 1 /\ 8 <= I726 - 1 /\ -1 <= I706 - 1 /\ 6 <= I701 - 1] 13.43/13.45 f3(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) -> f4(I771, I772, I773, I774, I775, I776, I777, I778, I779, I780, I781, I782, 0, I783, I784, I785, I786, I787, I788, I789, I790, I791, I792, I793, I794) [-1 <= I787 - 1 /\ 0 <= I747 - 1 /\ -1 <= I795 - 1 /\ 0 <= I746 - 1 /\ 8 <= I771 - 1 /\ 8 <= I772 - 1 /\ 6 <= I773 - 1] 13.43/13.45 f1(I796, I797, I798, I799, I800, I801, I802, I803, I804, I805, I806, I807, I808, I809, I810, I811, I812, I813, I814, I815, I816, I817, I818, I819, I820) -> f2(I796, I821, 0, 0, I798, I822, I823, 0, 0, 0, I824, I825, I826, I827, I798, I799, I799, I828, I800, I829, I830, I801, I802, I831, I832) [I822 = I823 /\ I801 + 5 <= I797 /\ I802 + 3 <= I797 /\ 9 <= I821 - 1 /\ 9 <= I797 - 1] 13.43/13.45 13.43/13.45 We use the reverse value criterion with the projection function NU: 13.43/13.45 NU[f7#(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)] = z2 - 1 + -1 * z3 13.43/13.45 13.43/13.45 This gives the following inequalities: 13.43/13.45 I161 + 4 <= I157 /\ I162 + 4 <= I157 /\ I159 + 2 <= I157 /\ I160 + 5 <= I157 /\ I158 + 7 <= I157 /\ 7 <= I182 - 1 /\ 7 <= I157 - 1 /\ I159 <= I158 - 1 /\ -1 <= I159 - 1 ==> I158 - 1 + -1 * I159 > I158 - 1 + -1 * (I159 + 1) with I158 - 1 + -1 * I159 >= 0 13.43/13.45 13.43/13.45 All dependency pairs are strictly oriented, so the entire dependency pair problem may be removed. 13.43/13.45 13.43/13.45 DP problem for innermost termination. 13.43/13.45 P = 13.43/13.45 f6#(I447, I448, I449, I450, I451, I452, I453, I454, I455, I456, I457, I458, I459, I460, I461, I462, I463, I464, I465, I466, I467, I468, I469, I470, I471) -> f6#(I472, I473, 1, 1, 1, 1, 1, I474, I475, I456, I457 - 1, I476, I477, I478, I479, I456, I457 - 1, I464, I480, I481, I482, I483, I484, I485, I486) [-1 <= I450 - 1 /\ 0 <= I457 - 1 /\ I487 <= I450 - 1 /\ I488 <= I451 - 1 /\ -1 <= I451 - 1 /\ 8 <= I447 - 1 /\ 8 <= I448 - 1 /\ 8 <= I472 - 1 /\ 8 <= I473 - 1 /\ I454 + 9 <= I447 /\ I455 + 9 <= I447 /\ I456 + 7 <= I447 /\ I464 + 5 <= I447 /\ I457 + 2 <= I447 /\ I458 + 4 <= I447 /\ I459 + 4 <= I447 /\ I460 + 9 <= I448 /\ I461 + 9 <= I448 /\ I456 + 7 <= I448 /\ I464 + 5 <= I448 /\ I457 + 2 <= I448 /\ I466 + 4 <= I448 /\ I465 + 4 <= I448 /\ I451 = I453 /\ I456 = I462 /\ I457 = I463] 13.43/13.45 R = 13.43/13.45 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) -> f3(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) 13.43/13.45 f8(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) -> f8(I25, I1 - 1, 0, 1, 1, I26, I27, I7, I28, I9, I29, I11, 0, 2, I30, I31, I32, I33, I34, I19 + 1, I35, I36, I37, I23 + 1, I24 + 1) [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 <= I25 - 1 /\ I20 + 9 <= I0 /\ I21 + 9 <= I0 /\ I22 + 9 <= I0 /\ I24 + 3 <= I0 /\ I23 + 5 <= I0 /\ I7 = I8 /\ I9 = I10 /\ I11 = I12 /\ I6 = I15] 13.43/13.45 f8(I38, I39, I40, I41, I42, I43, I44, I45, I46, I47, I48, I49, I50, I51, I52, I53, I54, I55, I56, I57, I58, I59, I60, I61, I62) -> f8(I63, I39 - 1, I40, I64, I65, I43, I44, I45, I66, I47, I67, I49, I68, I69, I70, I71, I72, I73, I74, I57 + 1, I75, I76, I77, I61 + 1, I62 + 1) [0 <= I39 - 1 /\ -1 <= I78 - 1 /\ 0 <= I43 - 1 /\ 0 <= I40 - 1 /\ -1 <= I57 - 1 /\ I57 <= I78 - 1 /\ 0 <= I47 - 1 /\ 0 <= I41 - 1 /\ 0 <= I50 - 1 /\ 0 <= I48 - 1 /\ 0 <= I49 - 1 /\ -1 <= I79 - 1 /\ 0 <= I46 - 1 /\ 0 <= I42 - 1 /\ 0 <= I56 - 1 /\ 0 <= I51 - 1 /\ 0 <= I55 - 1 /\ 0 <= I54 - 1 /\ 0 <= I52 - 1 /\ 0 <= I53 - 1 /\ -1 <= I62 - 1 /\ -1 <= I61 - 1 /\ 9 <= I38 - 1 /\ 9 <= I63 - 1 /\ I58 + 9 <= I38 /\ I59 + 9 <= I38 /\ I60 + 9 <= I38 /\ I62 + 3 <= I38 /\ I61 + 5 <= I38] 13.43/13.45 f2(I80, I81, I82, I83, I84, I85, I86, I87, I88, I89, I90, I91, I92, I93, I94, I95, I96, I97, I98, I99, I100, I101, I102, I103, I104) -> f8(I105, I80, I92, I90, I86, I91, I85, I106, I82, I93, I84, 0, I83, I87, I88, I89, I94, I95, I96, I98, I107, I108, I109, I101, I102) [I101 + 5 <= I81 /\ I102 + 3 <= I81 /\ I100 + 9 <= I81 /\ I99 + 9 <= I81 /\ 11 <= I105 - 1 /\ 11 <= I81 - 1] 13.43/13.45 f3(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) -> f1(I135, I136, I137, I138, 1, 0, 0, I139, I140, I141, I142, I143, I144, I145, I146, I147, I148, I149, I150, I151, I152, I153, I154, I155, I156) [7 <= I136 - 1 /\ 0 <= I110 - 1 /\ I136 - 7 <= I110 /\ 0 <= I111 - 1 /\ -1 <= I135 - 1] 13.43/13.45 f7(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) -> f7(I182, I158, I159 + 1, I160, I183, I184, I185, I186, I187, I188, I189, I190, I191, I192, I193, I194, I195, I196, I197, I198, I199, I200, I201, I202, I203) [I161 + 4 <= I157 /\ I162 + 4 <= I157 /\ I159 + 2 <= I157 /\ I160 + 5 <= I157 /\ I158 + 7 <= I157 /\ 7 <= I182 - 1 /\ 7 <= I157 - 1 /\ I159 <= I158 - 1 /\ -1 <= I159 - 1] 13.43/13.45 f4(I204, I205, I206, I207, I208, I209, I210, I211, I212, I213, I214, I215, I216, I217, I218, I219, I220, I221, I222, I223, I224, I225, I226, I227, I228) -> f7(I229, I221, 0, I222, I230, I231, I232, I233, I234, I235, I236, I237, I238, I239, I240, I241, I242, I243, I244, I245, I246, I247, I248, I249, I250) [-1 <= I208 - 1 /\ 0 <= I207 - 1 /\ I251 <= I208 - 1 /\ I252 <= I209 - 1 /\ 0 <= I251 - 1 /\ -1 <= I209 - 1 /\ 8 <= I204 - 1 /\ 8 <= I205 - 1 /\ 6 <= I206 - 1 /\ 9 <= I229 - 1 /\ I210 + 9 <= I204 /\ I211 + 9 <= I204 /\ I221 + 7 <= I204 /\ I222 + 5 <= I204 /\ I212 + 4 <= I204 /\ I213 + 4 <= I204 /\ I214 + 9 <= I205 /\ I215 + 9 <= I205 /\ I221 + 7 <= I205 /\ I222 + 5 <= I205 /\ I217 + 4 <= I205 /\ I218 + 4 <= I205 /\ I219 + 7 <= I206 /\ I220 + 7 <= I206 /\ I222 + 3 <= I206 /\ I221 + 5 <= I206 /\ 0 = I216] 13.43/13.45 f4(I253, I254, I255, I256, I257, I258, I259, I260, I261, I262, I263, I264, I265, I266, I267, I268, I269, I270, I271, I272, I273, I274, I275, I276, I277) -> f7(I278, I270, 0, I271, I279, I280, I281, I282, I283, I284, I285, I286, I287, I288, I289, I290, I291, I292, I293, I294, I295, I296, I297, I298, I299) [-1 <= I257 - 1 /\ 0 <= I256 - 1 /\ I300 <= I257 - 1 /\ I301 <= I258 - 1 /\ -1 <= I258 - 1 /\ 0 <= I301 - 1 /\ 0 <= I300 - 1 /\ 8 <= I253 - 1 /\ 8 <= I254 - 1 /\ 6 <= I255 - 1 /\ 9 <= I278 - 1 /\ I259 + 9 <= I253 /\ I260 + 9 <= I253 /\ I270 + 7 <= I253 /\ I271 + 5 <= I253 /\ I261 + 4 <= I253 /\ I262 + 4 <= I253 /\ I263 + 9 <= I254 /\ I264 + 9 <= I254 /\ I270 + 7 <= I254 /\ I271 + 5 <= I254 /\ I266 + 4 <= I254 /\ I267 + 4 <= I254 /\ I268 + 7 <= I255 /\ I269 + 7 <= I255 /\ I271 + 3 <= I255 /\ I270 + 5 <= I255 /\ 0 = I265] 13.43/13.45 f6(I302, I303, I304, I305, I306, I307, I308, I309, I310, I311, I312, I313, I314, I315, I316, I317, I318, I319, I320, I321, I322, I323, I324, I325, I326) -> f7(I327, I311, 0, I319, I328, I329, I330, I331, I332, I333, I334, I335, I336, I337, I338, I339, I340, I341, I342, I343, I344, I345, I346, I347, I348) [0 = I318 /\ I311 = I317 /\ 0 = I312 /\ I320 + 4 <= I303 /\ I321 + 4 <= I303 /\ I319 + 5 <= I303 /\ I311 + 7 <= I303 /\ I316 + 9 <= I303 /\ I315 + 9 <= I303 /\ I314 + 4 <= I302 /\ I313 + 4 <= I302 /\ I319 + 5 <= I302 /\ I311 + 7 <= I302 /\ I310 + 9 <= I302 /\ I309 + 9 <= I302 /\ 8 <= I327 - 1 /\ 8 <= I303 - 1 /\ 8 <= I302 - 1] 13.43/13.45 f4(I349, I350, I351, I352, I353, I354, I355, I356, I357, I358, I359, I360, I361, I362, I363, I364, I365, I366, I367, I368, I369, I370, I371, I372, I373) -> f7(I374, I366, 0, I367, I375, I376, I377, I378, I379, I380, I381, I382, I383, I384, I385, I386, I387, I388, I389, I390, I391, I392, I393, I394, I395) [-1 <= I353 - 1 /\ 0 <= I352 - 1 /\ I396 <= I353 - 1 /\ -1 <= I354 - 1 /\ I397 <= I354 - 1 /\ 8 <= I349 - 1 /\ 8 <= I350 - 1 /\ 6 <= I351 - 1 /\ 8 <= I374 - 1 /\ I355 + 9 <= I349 /\ I356 + 9 <= I349 /\ I366 + 7 <= I349 /\ I367 + 5 <= I349 /\ I357 + 4 <= I349 /\ I358 + 4 <= I349 /\ I359 + 9 <= I350 /\ I360 + 9 <= I350 /\ I366 + 7 <= I350 /\ I367 + 5 <= I350 /\ I362 + 4 <= I350 /\ I363 + 4 <= I350 /\ I364 + 7 <= I351 /\ I365 + 7 <= I351 /\ I367 + 3 <= I351 /\ I366 + 5 <= I351 /\ 0 = I361] 13.43/13.45 f4(I398, I399, I400, I401, I402, I403, I404, I405, I406, I407, I408, I409, I410, I411, I412, I413, I414, I415, I416, I417, I418, I419, I420, I421, I422) -> f7(I423, I415, 0, I416, I424, I425, I426, I427, I428, I429, I430, I431, I432, I433, I434, I435, I436, I437, I438, I439, I440, I441, I442, I443, I444) [-1 <= I402 - 1 /\ 0 <= I401 - 1 /\ I445 <= I402 - 1 /\ I446 <= I403 - 1 /\ 0 <= I446 - 1 /\ -1 <= I403 - 1 /\ 8 <= I398 - 1 /\ 8 <= I399 - 1 /\ 6 <= I400 - 1 /\ 8 <= I423 - 1 /\ I404 + 9 <= I398 /\ I405 + 9 <= I398 /\ I415 + 7 <= I398 /\ I416 + 5 <= I398 /\ I406 + 4 <= I398 /\ I407 + 4 <= I398 /\ I408 + 9 <= I399 /\ I409 + 9 <= I399 /\ I415 + 7 <= I399 /\ I416 + 5 <= I399 /\ I411 + 4 <= I399 /\ I412 + 4 <= I399 /\ I413 + 7 <= I400 /\ I414 + 7 <= I400 /\ I416 + 3 <= I400 /\ I415 + 5 <= I400 /\ 0 = I410] 13.43/13.45 f6(I447, I448, I449, I450, I451, I452, I453, I454, I455, I456, I457, I458, I459, I460, I461, I462, I463, I464, I465, I466, I467, I468, I469, I470, I471) -> f6(I472, I473, 1, 1, 1, 1, 1, I474, I475, I456, I457 - 1, I476, I477, I478, I479, I456, I457 - 1, I464, I480, I481, I482, I483, I484, I485, I486) [-1 <= I450 - 1 /\ 0 <= I457 - 1 /\ I487 <= I450 - 1 /\ I488 <= I451 - 1 /\ -1 <= I451 - 1 /\ 8 <= I447 - 1 /\ 8 <= I448 - 1 /\ 8 <= I472 - 1 /\ 8 <= I473 - 1 /\ I454 + 9 <= I447 /\ I455 + 9 <= I447 /\ I456 + 7 <= I447 /\ I464 + 5 <= I447 /\ I457 + 2 <= I447 /\ I458 + 4 <= I447 /\ I459 + 4 <= I447 /\ I460 + 9 <= I448 /\ I461 + 9 <= I448 /\ I456 + 7 <= I448 /\ I464 + 5 <= I448 /\ I457 + 2 <= I448 /\ I466 + 4 <= I448 /\ I465 + 4 <= I448 /\ I451 = I453 /\ I456 = I462 /\ I457 = I463] 13.43/13.45 f6(I489, I490, I491, I492, I493, I494, I495, I496, I497, I498, I499, I500, I501, I502, I503, I504, I505, I506, I507, I508, I509, I510, I511, I512, I513) -> f6(I514, I515, 1, 1, I516, I517, 0, I518, I519, I498, I499 - 1, I520, I521, I522, I523, I498, I499 - 1, I506, I524, I525, I526, I527, I528, I529, I530) [-1 <= I492 - 1 /\ 0 <= I499 - 1 /\ I531 <= I492 - 1 /\ I517 <= I493 - 1 /\ -1 <= I493 - 1 /\ 0 <= I517 - 1 /\ 8 <= I489 - 1 /\ 8 <= I490 - 1 /\ 8 <= I514 - 1 /\ 8 <= I515 - 1 /\ I496 + 9 <= I489 /\ I497 + 9 <= I489 /\ I498 + 7 <= I489 /\ I506 + 5 <= I489 /\ I499 + 2 <= I489 /\ I500 + 4 <= I489 /\ I501 + 4 <= I489 /\ I502 + 9 <= I490 /\ I503 + 9 <= I490 /\ I498 + 7 <= I490 /\ I506 + 5 <= I490 /\ I499 + 2 <= I490 /\ I508 + 4 <= I490 /\ I507 + 4 <= I490 /\ I493 = I495 /\ I498 = I504 /\ I499 = I505] 13.43/13.45 f6(I532, I533, I534, I535, I536, I537, I538, I539, I540, I541, I542, I543, I544, I545, I546, I547, I548, I549, I550, I551, I552, I553, I554, I555, I556) -> f6(I557, I558, 1, I559, 1, 1, 1, I560, I561, I541, I542 - 1, I562, I563, I564, I565, I541, I542 - 1, I549, I566, I567, I568, I569, I570, I571, I572) [-1 <= I535 - 1 /\ 0 <= I542 - 1 /\ I573 <= I535 - 1 /\ I574 <= I536 - 1 /\ -1 <= I536 - 1 /\ 0 <= I573 - 1 /\ 8 <= I532 - 1 /\ 8 <= I533 - 1 /\ 8 <= I557 - 1 /\ 8 <= I558 - 1 /\ I539 + 9 <= I532 /\ I540 + 9 <= I532 /\ I541 + 7 <= I532 /\ I549 + 5 <= I532 /\ I542 + 2 <= I532 /\ I543 + 4 <= I532 /\ I544 + 4 <= I532 /\ I545 + 9 <= I533 /\ I546 + 9 <= I533 /\ I541 + 7 <= I533 /\ I549 + 5 <= I533 /\ I542 + 2 <= I533 /\ I551 + 4 <= I533 /\ I550 + 4 <= I533 /\ I536 = I538 /\ I541 = I547 /\ I542 = I548] 13.43/13.45 f6(I575, I576, I577, I578, I579, I580, I581, I582, I583, I584, I585, I586, I587, I588, I589, I590, I591, I592, I593, I594, I595, I596, I597, I598, I599) -> f6(I600, I601, 1, 0, 0, I602, 0, I603, I604, I584, I585 - 1, I605, I606, I607, I608, I584, I585 - 1, I592, I609, I610, I611, I612, I613, I614, I615) [-1 <= I578 - 1 /\ 0 <= I585 - 1 /\ I616 <= I578 - 1 /\ I602 <= I579 - 1 /\ -1 <= I579 - 1 /\ 0 <= I616 - 1 /\ 0 <= I602 - 1 /\ 8 <= I575 - 1 /\ 8 <= I576 - 1 /\ 8 <= I600 - 1 /\ 8 <= I601 - 1 /\ I582 + 9 <= I575 /\ I583 + 9 <= I575 /\ I584 + 7 <= I575 /\ I592 + 5 <= I575 /\ I585 + 2 <= I575 /\ I586 + 4 <= I575 /\ I587 + 4 <= I575 /\ I588 + 9 <= I576 /\ I589 + 9 <= I576 /\ I584 + 7 <= I576 /\ I592 + 5 <= I576 /\ I585 + 2 <= I576 /\ I594 + 4 <= I576 /\ I593 + 4 <= I576 /\ I579 = I581 /\ I584 = I590 /\ I585 = I591] 13.43/13.45 f6(I617, I618, I619, I620, I621, I622, I623, I624, I625, I626, I627, I628, I629, I630, I631, I632, I633, I634, I635, I636, I637, I638, I639, I640, I641) -> f6(I642, I643, I644, I620, I621, I645, I646, I647, I648, I626, I627 - 1, I649, I650, I651, I652, I626, I627 - 1, I634, I653, I654, I655, I656, I657, I658, I659) [0 <= I622 - 1 /\ 0 <= I619 - 1 /\ 0 <= I623 - 1 /\ 0 <= I627 - 1 /\ I619 <= I644 - 1 /\ 0 <= I620 - 1 /\ I619 <= I621 - 1 /\ 0 <= I621 - 1 /\ I645 <= I622 - 1 /\ I660 <= I646 - 1 /\ I660 <= I623 - 1 /\ -1 <= I660 - 1 /\ I660 <= I645 - 1 /\ 8 <= I617 - 1 /\ 8 <= I618 - 1 /\ 8 <= I642 - 1 /\ 8 <= I643 - 1 /\ I624 + 9 <= I617 /\ I625 + 9 <= I617 /\ I626 + 7 <= I617 /\ I634 + 5 <= I617 /\ I627 + 2 <= I617 /\ I628 + 4 <= I617 /\ I629 + 4 <= I617 /\ I630 + 9 <= I618 /\ I631 + 9 <= I618 /\ I626 + 7 <= I618 /\ I634 + 5 <= I618 /\ I627 + 2 <= I618 /\ I636 + 4 <= I618 /\ I635 + 4 <= I618 /\ I626 = I632 /\ I627 = I633] 13.43/13.45 f4(I661, I662, I663, I664, I665, I666, I667, I668, I669, I670, I671, I672, I673, I674, I675, I676, I677, I678, I679, I680, I681, I682, I683, I684, I685) -> f6(I686, I687, I666, I665, I666, I666, I666, I688, I689, I678, I678, I690, I691, I692, I693, I678, I678, I679, I694, I695, I696, I697, I698, I699, I700) [0 = I673 /\ I678 + 5 <= I663 /\ I679 + 3 <= I663 /\ I677 + 7 <= I663 /\ I676 + 7 <= I663 /\ I675 + 4 <= I662 /\ I674 + 4 <= I662 /\ I679 + 5 <= I662 /\ I678 + 7 <= I662 /\ I672 + 9 <= I662 /\ I671 + 9 <= I662 /\ I670 + 4 <= I661 /\ I669 + 4 <= I661 /\ I679 + 5 <= I661 /\ I678 + 7 <= I661 /\ I668 + 9 <= I661 /\ I667 + 9 <= I661 /\ 8 <= I687 - 1 /\ 8 <= I686 - 1 /\ 6 <= I663 - 1 /\ 8 <= I662 - 1 /\ I664 <= 0 /\ 8 <= I661 - 1] 13.43/13.45 f5(I701, I702, I703, I704, I705, I706, I707, I708, I709, I710, I711, I712, I713, I714, I715, I716, I717, I718, I719, I720, I721, I722, I723, I724, I725) -> f4(I726, I727, I728, I729, I702, I703, I730, I731, I732, I733, I734, I735, 0, I736, I737, I738, I739, I706, I707, I740, I741, I742, I743, I744, I745) [I706 + 5 <= I701 /\ I707 + 3 <= I701 /\ I705 + 7 <= I701 /\ I704 + 7 <= I701 /\ 6 <= I728 - 1 /\ 8 <= I727 - 1 /\ 8 <= I726 - 1 /\ -1 <= I706 - 1 /\ 6 <= I701 - 1] 13.43/13.45 f3(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) -> f4(I771, I772, I773, I774, I775, I776, I777, I778, I779, I780, I781, I782, 0, I783, I784, I785, I786, I787, I788, I789, I790, I791, I792, I793, I794) [-1 <= I787 - 1 /\ 0 <= I747 - 1 /\ -1 <= I795 - 1 /\ 0 <= I746 - 1 /\ 8 <= I771 - 1 /\ 8 <= I772 - 1 /\ 6 <= I773 - 1] 13.43/13.45 f1(I796, I797, I798, I799, I800, I801, I802, I803, I804, I805, I806, I807, I808, I809, I810, I811, I812, I813, I814, I815, I816, I817, I818, I819, I820) -> f2(I796, I821, 0, 0, I798, I822, I823, 0, 0, 0, I824, I825, I826, I827, I798, I799, I799, I828, I800, I829, I830, I801, I802, I831, I832) [I822 = I823 /\ I801 + 5 <= I797 /\ I802 + 3 <= I797 /\ 9 <= I821 - 1 /\ 9 <= I797 - 1] 13.43/13.45 13.43/13.45 We use the basic value criterion with the projection function NU: 13.43/13.45 NU[f6#(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)] = z17 13.43/13.45 13.43/13.45 This gives the following inequalities: 13.43/13.45 -1 <= I450 - 1 /\ 0 <= I457 - 1 /\ I487 <= I450 - 1 /\ I488 <= I451 - 1 /\ -1 <= I451 - 1 /\ 8 <= I447 - 1 /\ 8 <= I448 - 1 /\ 8 <= I472 - 1 /\ 8 <= I473 - 1 /\ I454 + 9 <= I447 /\ I455 + 9 <= I447 /\ I456 + 7 <= I447 /\ I464 + 5 <= I447 /\ I457 + 2 <= I447 /\ I458 + 4 <= I447 /\ I459 + 4 <= I447 /\ I460 + 9 <= I448 /\ I461 + 9 <= I448 /\ I456 + 7 <= I448 /\ I464 + 5 <= I448 /\ I457 + 2 <= I448 /\ I466 + 4 <= I448 /\ I465 + 4 <= I448 /\ I451 = I453 /\ I456 = I462 /\ I457 = I463 ==> I463 >! I457 - 1 13.43/13.45 13.43/13.45 All dependency pairs are strictly oriented, so the entire dependency pair problem may be removed. 13.43/13.45 13.43/13.45 DP problem for innermost termination. 13.43/13.45 P = 13.43/13.45 f6#(I532, I533, I534, I535, I536, I537, I538, I539, I540, I541, I542, I543, I544, I545, I546, I547, I548, I549, I550, I551, I552, I553, I554, I555, I556) -> f6#(I557, I558, 1, I559, 1, 1, 1, I560, I561, I541, I542 - 1, I562, I563, I564, I565, I541, I542 - 1, I549, I566, I567, I568, I569, I570, I571, I572) [-1 <= I535 - 1 /\ 0 <= I542 - 1 /\ I573 <= I535 - 1 /\ I574 <= I536 - 1 /\ -1 <= I536 - 1 /\ 0 <= I573 - 1 /\ 8 <= I532 - 1 /\ 8 <= I533 - 1 /\ 8 <= I557 - 1 /\ 8 <= I558 - 1 /\ I539 + 9 <= I532 /\ I540 + 9 <= I532 /\ I541 + 7 <= I532 /\ I549 + 5 <= I532 /\ I542 + 2 <= I532 /\ I543 + 4 <= I532 /\ I544 + 4 <= I532 /\ I545 + 9 <= I533 /\ I546 + 9 <= I533 /\ I541 + 7 <= I533 /\ I549 + 5 <= I533 /\ I542 + 2 <= I533 /\ I551 + 4 <= I533 /\ I550 + 4 <= I533 /\ I536 = I538 /\ I541 = I547 /\ I542 = I548] 13.43/13.45 R = 13.43/13.45 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) -> f3(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) 13.43/13.45 f8(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) -> f8(I25, I1 - 1, 0, 1, 1, I26, I27, I7, I28, I9, I29, I11, 0, 2, I30, I31, I32, I33, I34, I19 + 1, I35, I36, I37, I23 + 1, I24 + 1) [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 <= I25 - 1 /\ I20 + 9 <= I0 /\ I21 + 9 <= I0 /\ I22 + 9 <= I0 /\ I24 + 3 <= I0 /\ I23 + 5 <= I0 /\ I7 = I8 /\ I9 = I10 /\ I11 = I12 /\ I6 = I15] 13.43/13.45 f8(I38, I39, I40, I41, I42, I43, I44, I45, I46, I47, I48, I49, I50, I51, I52, I53, I54, I55, I56, I57, I58, I59, I60, I61, I62) -> f8(I63, I39 - 1, I40, I64, I65, I43, I44, I45, I66, I47, I67, I49, I68, I69, I70, I71, I72, I73, I74, I57 + 1, I75, I76, I77, I61 + 1, I62 + 1) [0 <= I39 - 1 /\ -1 <= I78 - 1 /\ 0 <= I43 - 1 /\ 0 <= I40 - 1 /\ -1 <= I57 - 1 /\ I57 <= I78 - 1 /\ 0 <= I47 - 1 /\ 0 <= I41 - 1 /\ 0 <= I50 - 1 /\ 0 <= I48 - 1 /\ 0 <= I49 - 1 /\ -1 <= I79 - 1 /\ 0 <= I46 - 1 /\ 0 <= I42 - 1 /\ 0 <= I56 - 1 /\ 0 <= I51 - 1 /\ 0 <= I55 - 1 /\ 0 <= I54 - 1 /\ 0 <= I52 - 1 /\ 0 <= I53 - 1 /\ -1 <= I62 - 1 /\ -1 <= I61 - 1 /\ 9 <= I38 - 1 /\ 9 <= I63 - 1 /\ I58 + 9 <= I38 /\ I59 + 9 <= I38 /\ I60 + 9 <= I38 /\ I62 + 3 <= I38 /\ I61 + 5 <= I38] 13.43/13.45 f2(I80, I81, I82, I83, I84, I85, I86, I87, I88, I89, I90, I91, I92, I93, I94, I95, I96, I97, I98, I99, I100, I101, I102, I103, I104) -> f8(I105, I80, I92, I90, I86, I91, I85, I106, I82, I93, I84, 0, I83, I87, I88, I89, I94, I95, I96, I98, I107, I108, I109, I101, I102) [I101 + 5 <= I81 /\ I102 + 3 <= I81 /\ I100 + 9 <= I81 /\ I99 + 9 <= I81 /\ 11 <= I105 - 1 /\ 11 <= I81 - 1] 13.43/13.45 f3(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) -> f1(I135, I136, I137, I138, 1, 0, 0, I139, I140, I141, I142, I143, I144, I145, I146, I147, I148, I149, I150, I151, I152, I153, I154, I155, I156) [7 <= I136 - 1 /\ 0 <= I110 - 1 /\ I136 - 7 <= I110 /\ 0 <= I111 - 1 /\ -1 <= I135 - 1] 13.43/13.45 f7(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) -> f7(I182, I158, I159 + 1, I160, I183, I184, I185, I186, I187, I188, I189, I190, I191, I192, I193, I194, I195, I196, I197, I198, I199, I200, I201, I202, I203) [I161 + 4 <= I157 /\ I162 + 4 <= I157 /\ I159 + 2 <= I157 /\ I160 + 5 <= I157 /\ I158 + 7 <= I157 /\ 7 <= I182 - 1 /\ 7 <= I157 - 1 /\ I159 <= I158 - 1 /\ -1 <= I159 - 1] 13.43/13.45 f4(I204, I205, I206, I207, I208, I209, I210, I211, I212, I213, I214, I215, I216, I217, I218, I219, I220, I221, I222, I223, I224, I225, I226, I227, I228) -> f7(I229, I221, 0, I222, I230, I231, I232, I233, I234, I235, I236, I237, I238, I239, I240, I241, I242, I243, I244, I245, I246, I247, I248, I249, I250) [-1 <= I208 - 1 /\ 0 <= I207 - 1 /\ I251 <= I208 - 1 /\ I252 <= I209 - 1 /\ 0 <= I251 - 1 /\ -1 <= I209 - 1 /\ 8 <= I204 - 1 /\ 8 <= I205 - 1 /\ 6 <= I206 - 1 /\ 9 <= I229 - 1 /\ I210 + 9 <= I204 /\ I211 + 9 <= I204 /\ I221 + 7 <= I204 /\ I222 + 5 <= I204 /\ I212 + 4 <= I204 /\ I213 + 4 <= I204 /\ I214 + 9 <= I205 /\ I215 + 9 <= I205 /\ I221 + 7 <= I205 /\ I222 + 5 <= I205 /\ I217 + 4 <= I205 /\ I218 + 4 <= I205 /\ I219 + 7 <= I206 /\ I220 + 7 <= I206 /\ I222 + 3 <= I206 /\ I221 + 5 <= I206 /\ 0 = I216] 13.43/13.45 f4(I253, I254, I255, I256, I257, I258, I259, I260, I261, I262, I263, I264, I265, I266, I267, I268, I269, I270, I271, I272, I273, I274, I275, I276, I277) -> f7(I278, I270, 0, I271, I279, I280, I281, I282, I283, I284, I285, I286, I287, I288, I289, I290, I291, I292, I293, I294, I295, I296, I297, I298, I299) [-1 <= I257 - 1 /\ 0 <= I256 - 1 /\ I300 <= I257 - 1 /\ I301 <= I258 - 1 /\ -1 <= I258 - 1 /\ 0 <= I301 - 1 /\ 0 <= I300 - 1 /\ 8 <= I253 - 1 /\ 8 <= I254 - 1 /\ 6 <= I255 - 1 /\ 9 <= I278 - 1 /\ I259 + 9 <= I253 /\ I260 + 9 <= I253 /\ I270 + 7 <= I253 /\ I271 + 5 <= I253 /\ I261 + 4 <= I253 /\ I262 + 4 <= I253 /\ I263 + 9 <= I254 /\ I264 + 9 <= I254 /\ I270 + 7 <= I254 /\ I271 + 5 <= I254 /\ I266 + 4 <= I254 /\ I267 + 4 <= I254 /\ I268 + 7 <= I255 /\ I269 + 7 <= I255 /\ I271 + 3 <= I255 /\ I270 + 5 <= I255 /\ 0 = I265] 13.43/13.45 f6(I302, I303, I304, I305, I306, I307, I308, I309, I310, I311, I312, I313, I314, I315, I316, I317, I318, I319, I320, I321, I322, I323, I324, I325, I326) -> f7(I327, I311, 0, I319, I328, I329, I330, I331, I332, I333, I334, I335, I336, I337, I338, I339, I340, I341, I342, I343, I344, I345, I346, I347, I348) [0 = I318 /\ I311 = I317 /\ 0 = I312 /\ I320 + 4 <= I303 /\ I321 + 4 <= I303 /\ I319 + 5 <= I303 /\ I311 + 7 <= I303 /\ I316 + 9 <= I303 /\ I315 + 9 <= I303 /\ I314 + 4 <= I302 /\ I313 + 4 <= I302 /\ I319 + 5 <= I302 /\ I311 + 7 <= I302 /\ I310 + 9 <= I302 /\ I309 + 9 <= I302 /\ 8 <= I327 - 1 /\ 8 <= I303 - 1 /\ 8 <= I302 - 1] 13.43/13.45 f4(I349, I350, I351, I352, I353, I354, I355, I356, I357, I358, I359, I360, I361, I362, I363, I364, I365, I366, I367, I368, I369, I370, I371, I372, I373) -> f7(I374, I366, 0, I367, I375, I376, I377, I378, I379, I380, I381, I382, I383, I384, I385, I386, I387, I388, I389, I390, I391, I392, I393, I394, I395) [-1 <= I353 - 1 /\ 0 <= I352 - 1 /\ I396 <= I353 - 1 /\ -1 <= I354 - 1 /\ I397 <= I354 - 1 /\ 8 <= I349 - 1 /\ 8 <= I350 - 1 /\ 6 <= I351 - 1 /\ 8 <= I374 - 1 /\ I355 + 9 <= I349 /\ I356 + 9 <= I349 /\ I366 + 7 <= I349 /\ I367 + 5 <= I349 /\ I357 + 4 <= I349 /\ I358 + 4 <= I349 /\ I359 + 9 <= I350 /\ I360 + 9 <= I350 /\ I366 + 7 <= I350 /\ I367 + 5 <= I350 /\ I362 + 4 <= I350 /\ I363 + 4 <= I350 /\ I364 + 7 <= I351 /\ I365 + 7 <= I351 /\ I367 + 3 <= I351 /\ I366 + 5 <= I351 /\ 0 = I361] 13.43/13.45 f4(I398, I399, I400, I401, I402, I403, I404, I405, I406, I407, I408, I409, I410, I411, I412, I413, I414, I415, I416, I417, I418, I419, I420, I421, I422) -> f7(I423, I415, 0, I416, I424, I425, I426, I427, I428, I429, I430, I431, I432, I433, I434, I435, I436, I437, I438, I439, I440, I441, I442, I443, I444) [-1 <= I402 - 1 /\ 0 <= I401 - 1 /\ I445 <= I402 - 1 /\ I446 <= I403 - 1 /\ 0 <= I446 - 1 /\ -1 <= I403 - 1 /\ 8 <= I398 - 1 /\ 8 <= I399 - 1 /\ 6 <= I400 - 1 /\ 8 <= I423 - 1 /\ I404 + 9 <= I398 /\ I405 + 9 <= I398 /\ I415 + 7 <= I398 /\ I416 + 5 <= I398 /\ I406 + 4 <= I398 /\ I407 + 4 <= I398 /\ I408 + 9 <= I399 /\ I409 + 9 <= I399 /\ I415 + 7 <= I399 /\ I416 + 5 <= I399 /\ I411 + 4 <= I399 /\ I412 + 4 <= I399 /\ I413 + 7 <= I400 /\ I414 + 7 <= I400 /\ I416 + 3 <= I400 /\ I415 + 5 <= I400 /\ 0 = I410] 13.43/13.45 f6(I447, I448, I449, I450, I451, I452, I453, I454, I455, I456, I457, I458, I459, I460, I461, I462, I463, I464, I465, I466, I467, I468, I469, I470, I471) -> f6(I472, I473, 1, 1, 1, 1, 1, I474, I475, I456, I457 - 1, I476, I477, I478, I479, I456, I457 - 1, I464, I480, I481, I482, I483, I484, I485, I486) [-1 <= I450 - 1 /\ 0 <= I457 - 1 /\ I487 <= I450 - 1 /\ I488 <= I451 - 1 /\ -1 <= I451 - 1 /\ 8 <= I447 - 1 /\ 8 <= I448 - 1 /\ 8 <= I472 - 1 /\ 8 <= I473 - 1 /\ I454 + 9 <= I447 /\ I455 + 9 <= I447 /\ I456 + 7 <= I447 /\ I464 + 5 <= I447 /\ I457 + 2 <= I447 /\ I458 + 4 <= I447 /\ I459 + 4 <= I447 /\ I460 + 9 <= I448 /\ I461 + 9 <= I448 /\ I456 + 7 <= I448 /\ I464 + 5 <= I448 /\ I457 + 2 <= I448 /\ I466 + 4 <= I448 /\ I465 + 4 <= I448 /\ I451 = I453 /\ I456 = I462 /\ I457 = I463] 13.43/13.45 f6(I489, I490, I491, I492, I493, I494, I495, I496, I497, I498, I499, I500, I501, I502, I503, I504, I505, I506, I507, I508, I509, I510, I511, I512, I513) -> f6(I514, I515, 1, 1, I516, I517, 0, I518, I519, I498, I499 - 1, I520, I521, I522, I523, I498, I499 - 1, I506, I524, I525, I526, I527, I528, I529, I530) [-1 <= I492 - 1 /\ 0 <= I499 - 1 /\ I531 <= I492 - 1 /\ I517 <= I493 - 1 /\ -1 <= I493 - 1 /\ 0 <= I517 - 1 /\ 8 <= I489 - 1 /\ 8 <= I490 - 1 /\ 8 <= I514 - 1 /\ 8 <= I515 - 1 /\ I496 + 9 <= I489 /\ I497 + 9 <= I489 /\ I498 + 7 <= I489 /\ I506 + 5 <= I489 /\ I499 + 2 <= I489 /\ I500 + 4 <= I489 /\ I501 + 4 <= I489 /\ I502 + 9 <= I490 /\ I503 + 9 <= I490 /\ I498 + 7 <= I490 /\ I506 + 5 <= I490 /\ I499 + 2 <= I490 /\ I508 + 4 <= I490 /\ I507 + 4 <= I490 /\ I493 = I495 /\ I498 = I504 /\ I499 = I505] 13.43/13.45 f6(I532, I533, I534, I535, I536, I537, I538, I539, I540, I541, I542, I543, I544, I545, I546, I547, I548, I549, I550, I551, I552, I553, I554, I555, I556) -> f6(I557, I558, 1, I559, 1, 1, 1, I560, I561, I541, I542 - 1, I562, I563, I564, I565, I541, I542 - 1, I549, I566, I567, I568, I569, I570, I571, I572) [-1 <= I535 - 1 /\ 0 <= I542 - 1 /\ I573 <= I535 - 1 /\ I574 <= I536 - 1 /\ -1 <= I536 - 1 /\ 0 <= I573 - 1 /\ 8 <= I532 - 1 /\ 8 <= I533 - 1 /\ 8 <= I557 - 1 /\ 8 <= I558 - 1 /\ I539 + 9 <= I532 /\ I540 + 9 <= I532 /\ I541 + 7 <= I532 /\ I549 + 5 <= I532 /\ I542 + 2 <= I532 /\ I543 + 4 <= I532 /\ I544 + 4 <= I532 /\ I545 + 9 <= I533 /\ I546 + 9 <= I533 /\ I541 + 7 <= I533 /\ I549 + 5 <= I533 /\ I542 + 2 <= I533 /\ I551 + 4 <= I533 /\ I550 + 4 <= I533 /\ I536 = I538 /\ I541 = I547 /\ I542 = I548] 13.43/13.45 f6(I575, I576, I577, I578, I579, I580, I581, I582, I583, I584, I585, I586, I587, I588, I589, I590, I591, I592, I593, I594, I595, I596, I597, I598, I599) -> f6(I600, I601, 1, 0, 0, I602, 0, I603, I604, I584, I585 - 1, I605, I606, I607, I608, I584, I585 - 1, I592, I609, I610, I611, I612, I613, I614, I615) [-1 <= I578 - 1 /\ 0 <= I585 - 1 /\ I616 <= I578 - 1 /\ I602 <= I579 - 1 /\ -1 <= I579 - 1 /\ 0 <= I616 - 1 /\ 0 <= I602 - 1 /\ 8 <= I575 - 1 /\ 8 <= I576 - 1 /\ 8 <= I600 - 1 /\ 8 <= I601 - 1 /\ I582 + 9 <= I575 /\ I583 + 9 <= I575 /\ I584 + 7 <= I575 /\ I592 + 5 <= I575 /\ I585 + 2 <= I575 /\ I586 + 4 <= I575 /\ I587 + 4 <= I575 /\ I588 + 9 <= I576 /\ I589 + 9 <= I576 /\ I584 + 7 <= I576 /\ I592 + 5 <= I576 /\ I585 + 2 <= I576 /\ I594 + 4 <= I576 /\ I593 + 4 <= I576 /\ I579 = I581 /\ I584 = I590 /\ I585 = I591] 13.43/13.45 f6(I617, I618, I619, I620, I621, I622, I623, I624, I625, I626, I627, I628, I629, I630, I631, I632, I633, I634, I635, I636, I637, I638, I639, I640, I641) -> f6(I642, I643, I644, I620, I621, I645, I646, I647, I648, I626, I627 - 1, I649, I650, I651, I652, I626, I627 - 1, I634, I653, I654, I655, I656, I657, I658, I659) [0 <= I622 - 1 /\ 0 <= I619 - 1 /\ 0 <= I623 - 1 /\ 0 <= I627 - 1 /\ I619 <= I644 - 1 /\ 0 <= I620 - 1 /\ I619 <= I621 - 1 /\ 0 <= I621 - 1 /\ I645 <= I622 - 1 /\ I660 <= I646 - 1 /\ I660 <= I623 - 1 /\ -1 <= I660 - 1 /\ I660 <= I645 - 1 /\ 8 <= I617 - 1 /\ 8 <= I618 - 1 /\ 8 <= I642 - 1 /\ 8 <= I643 - 1 /\ I624 + 9 <= I617 /\ I625 + 9 <= I617 /\ I626 + 7 <= I617 /\ I634 + 5 <= I617 /\ I627 + 2 <= I617 /\ I628 + 4 <= I617 /\ I629 + 4 <= I617 /\ I630 + 9 <= I618 /\ I631 + 9 <= I618 /\ I626 + 7 <= I618 /\ I634 + 5 <= I618 /\ I627 + 2 <= I618 /\ I636 + 4 <= I618 /\ I635 + 4 <= I618 /\ I626 = I632 /\ I627 = I633] 13.43/13.45 f4(I661, I662, I663, I664, I665, I666, I667, I668, I669, I670, I671, I672, I673, I674, I675, I676, I677, I678, I679, I680, I681, I682, I683, I684, I685) -> f6(I686, I687, I666, I665, I666, I666, I666, I688, I689, I678, I678, I690, I691, I692, I693, I678, I678, I679, I694, I695, I696, I697, I698, I699, I700) [0 = I673 /\ I678 + 5 <= I663 /\ I679 + 3 <= I663 /\ I677 + 7 <= I663 /\ I676 + 7 <= I663 /\ I675 + 4 <= I662 /\ I674 + 4 <= I662 /\ I679 + 5 <= I662 /\ I678 + 7 <= I662 /\ I672 + 9 <= I662 /\ I671 + 9 <= I662 /\ I670 + 4 <= I661 /\ I669 + 4 <= I661 /\ I679 + 5 <= I661 /\ I678 + 7 <= I661 /\ I668 + 9 <= I661 /\ I667 + 9 <= I661 /\ 8 <= I687 - 1 /\ 8 <= I686 - 1 /\ 6 <= I663 - 1 /\ 8 <= I662 - 1 /\ I664 <= 0 /\ 8 <= I661 - 1] 13.43/13.45 f5(I701, I702, I703, I704, I705, I706, I707, I708, I709, I710, I711, I712, I713, I714, I715, I716, I717, I718, I719, I720, I721, I722, I723, I724, I725) -> f4(I726, I727, I728, I729, I702, I703, I730, I731, I732, I733, I734, I735, 0, I736, I737, I738, I739, I706, I707, I740, I741, I742, I743, I744, I745) [I706 + 5 <= I701 /\ I707 + 3 <= I701 /\ I705 + 7 <= I701 /\ I704 + 7 <= I701 /\ 6 <= I728 - 1 /\ 8 <= I727 - 1 /\ 8 <= I726 - 1 /\ -1 <= I706 - 1 /\ 6 <= I701 - 1] 13.43/13.45 f3(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) -> f4(I771, I772, I773, I774, I775, I776, I777, I778, I779, I780, I781, I782, 0, I783, I784, I785, I786, I787, I788, I789, I790, I791, I792, I793, I794) [-1 <= I787 - 1 /\ 0 <= I747 - 1 /\ -1 <= I795 - 1 /\ 0 <= I746 - 1 /\ 8 <= I771 - 1 /\ 8 <= I772 - 1 /\ 6 <= I773 - 1] 13.43/13.45 f1(I796, I797, I798, I799, I800, I801, I802, I803, I804, I805, I806, I807, I808, I809, I810, I811, I812, I813, I814, I815, I816, I817, I818, I819, I820) -> f2(I796, I821, 0, 0, I798, I822, I823, 0, 0, 0, I824, I825, I826, I827, I798, I799, I799, I828, I800, I829, I830, I801, I802, I831, I832) [I822 = I823 /\ I801 + 5 <= I797 /\ I802 + 3 <= I797 /\ 9 <= I821 - 1 /\ 9 <= I797 - 1] 13.43/13.45 13.43/13.45 We use the basic value criterion with the projection function NU: 13.43/13.45 NU[f6#(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)] = z17 13.43/13.45 13.43/13.45 This gives the following inequalities: 13.43/13.45 -1 <= I535 - 1 /\ 0 <= I542 - 1 /\ I573 <= I535 - 1 /\ I574 <= I536 - 1 /\ -1 <= I536 - 1 /\ 0 <= I573 - 1 /\ 8 <= I532 - 1 /\ 8 <= I533 - 1 /\ 8 <= I557 - 1 /\ 8 <= I558 - 1 /\ I539 + 9 <= I532 /\ I540 + 9 <= I532 /\ I541 + 7 <= I532 /\ I549 + 5 <= I532 /\ I542 + 2 <= I532 /\ I543 + 4 <= I532 /\ I544 + 4 <= I532 /\ I545 + 9 <= I533 /\ I546 + 9 <= I533 /\ I541 + 7 <= I533 /\ I549 + 5 <= I533 /\ I542 + 2 <= I533 /\ I551 + 4 <= I533 /\ I550 + 4 <= I533 /\ I536 = I538 /\ I541 = I547 /\ I542 = I548 ==> I548 >! I542 - 1 13.43/13.45 13.43/13.45 All dependency pairs are strictly oriented, so the entire dependency pair problem may be removed. 13.43/13.45 13.43/13.45 DP problem for innermost termination. 13.43/13.45 P = 13.43/13.45 f6#(I617, I618, I619, I620, I621, I622, I623, I624, I625, I626, I627, I628, I629, I630, I631, I632, I633, I634, I635, I636, I637, I638, I639, I640, I641) -> f6#(I642, I643, I644, I620, I621, I645, I646, I647, I648, I626, I627 - 1, I649, I650, I651, I652, I626, I627 - 1, I634, I653, I654, I655, I656, I657, I658, I659) [0 <= I622 - 1 /\ 0 <= I619 - 1 /\ 0 <= I623 - 1 /\ 0 <= I627 - 1 /\ I619 <= I644 - 1 /\ 0 <= I620 - 1 /\ I619 <= I621 - 1 /\ 0 <= I621 - 1 /\ I645 <= I622 - 1 /\ I660 <= I646 - 1 /\ I660 <= I623 - 1 /\ -1 <= I660 - 1 /\ I660 <= I645 - 1 /\ 8 <= I617 - 1 /\ 8 <= I618 - 1 /\ 8 <= I642 - 1 /\ 8 <= I643 - 1 /\ I624 + 9 <= I617 /\ I625 + 9 <= I617 /\ I626 + 7 <= I617 /\ I634 + 5 <= I617 /\ I627 + 2 <= I617 /\ I628 + 4 <= I617 /\ I629 + 4 <= I617 /\ I630 + 9 <= I618 /\ I631 + 9 <= I618 /\ I626 + 7 <= I618 /\ I634 + 5 <= I618 /\ I627 + 2 <= I618 /\ I636 + 4 <= I618 /\ I635 + 4 <= I618 /\ I626 = I632 /\ I627 = I633] 13.43/13.45 R = 13.43/13.45 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) -> f3(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) 13.43/13.45 f8(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) -> f8(I25, I1 - 1, 0, 1, 1, I26, I27, I7, I28, I9, I29, I11, 0, 2, I30, I31, I32, I33, I34, I19 + 1, I35, I36, I37, I23 + 1, I24 + 1) [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 <= I25 - 1 /\ I20 + 9 <= I0 /\ I21 + 9 <= I0 /\ I22 + 9 <= I0 /\ I24 + 3 <= I0 /\ I23 + 5 <= I0 /\ I7 = I8 /\ I9 = I10 /\ I11 = I12 /\ I6 = I15] 13.43/13.45 f8(I38, I39, I40, I41, I42, I43, I44, I45, I46, I47, I48, I49, I50, I51, I52, I53, I54, I55, I56, I57, I58, I59, I60, I61, I62) -> f8(I63, I39 - 1, I40, I64, I65, I43, I44, I45, I66, I47, I67, I49, I68, I69, I70, I71, I72, I73, I74, I57 + 1, I75, I76, I77, I61 + 1, I62 + 1) [0 <= I39 - 1 /\ -1 <= I78 - 1 /\ 0 <= I43 - 1 /\ 0 <= I40 - 1 /\ -1 <= I57 - 1 /\ I57 <= I78 - 1 /\ 0 <= I47 - 1 /\ 0 <= I41 - 1 /\ 0 <= I50 - 1 /\ 0 <= I48 - 1 /\ 0 <= I49 - 1 /\ -1 <= I79 - 1 /\ 0 <= I46 - 1 /\ 0 <= I42 - 1 /\ 0 <= I56 - 1 /\ 0 <= I51 - 1 /\ 0 <= I55 - 1 /\ 0 <= I54 - 1 /\ 0 <= I52 - 1 /\ 0 <= I53 - 1 /\ -1 <= I62 - 1 /\ -1 <= I61 - 1 /\ 9 <= I38 - 1 /\ 9 <= I63 - 1 /\ I58 + 9 <= I38 /\ I59 + 9 <= I38 /\ I60 + 9 <= I38 /\ I62 + 3 <= I38 /\ I61 + 5 <= I38] 13.43/13.45 f2(I80, I81, I82, I83, I84, I85, I86, I87, I88, I89, I90, I91, I92, I93, I94, I95, I96, I97, I98, I99, I100, I101, I102, I103, I104) -> f8(I105, I80, I92, I90, I86, I91, I85, I106, I82, I93, I84, 0, I83, I87, I88, I89, I94, I95, I96, I98, I107, I108, I109, I101, I102) [I101 + 5 <= I81 /\ I102 + 3 <= I81 /\ I100 + 9 <= I81 /\ I99 + 9 <= I81 /\ 11 <= I105 - 1 /\ 11 <= I81 - 1] 13.43/13.45 f3(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) -> f1(I135, I136, I137, I138, 1, 0, 0, I139, I140, I141, I142, I143, I144, I145, I146, I147, I148, I149, I150, I151, I152, I153, I154, I155, I156) [7 <= I136 - 1 /\ 0 <= I110 - 1 /\ I136 - 7 <= I110 /\ 0 <= I111 - 1 /\ -1 <= I135 - 1] 13.43/13.45 f7(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) -> f7(I182, I158, I159 + 1, I160, I183, I184, I185, I186, I187, I188, I189, I190, I191, I192, I193, I194, I195, I196, I197, I198, I199, I200, I201, I202, I203) [I161 + 4 <= I157 /\ I162 + 4 <= I157 /\ I159 + 2 <= I157 /\ I160 + 5 <= I157 /\ I158 + 7 <= I157 /\ 7 <= I182 - 1 /\ 7 <= I157 - 1 /\ I159 <= I158 - 1 /\ -1 <= I159 - 1] 13.43/13.45 f4(I204, I205, I206, I207, I208, I209, I210, I211, I212, I213, I214, I215, I216, I217, I218, I219, I220, I221, I222, I223, I224, I225, I226, I227, I228) -> f7(I229, I221, 0, I222, I230, I231, I232, I233, I234, I235, I236, I237, I238, I239, I240, I241, I242, I243, I244, I245, I246, I247, I248, I249, I250) [-1 <= I208 - 1 /\ 0 <= I207 - 1 /\ I251 <= I208 - 1 /\ I252 <= I209 - 1 /\ 0 <= I251 - 1 /\ -1 <= I209 - 1 /\ 8 <= I204 - 1 /\ 8 <= I205 - 1 /\ 6 <= I206 - 1 /\ 9 <= I229 - 1 /\ I210 + 9 <= I204 /\ I211 + 9 <= I204 /\ I221 + 7 <= I204 /\ I222 + 5 <= I204 /\ I212 + 4 <= I204 /\ I213 + 4 <= I204 /\ I214 + 9 <= I205 /\ I215 + 9 <= I205 /\ I221 + 7 <= I205 /\ I222 + 5 <= I205 /\ I217 + 4 <= I205 /\ I218 + 4 <= I205 /\ I219 + 7 <= I206 /\ I220 + 7 <= I206 /\ I222 + 3 <= I206 /\ I221 + 5 <= I206 /\ 0 = I216] 13.43/13.45 f4(I253, I254, I255, I256, I257, I258, I259, I260, I261, I262, I263, I264, I265, I266, I267, I268, I269, I270, I271, I272, I273, I274, I275, I276, I277) -> f7(I278, I270, 0, I271, I279, I280, I281, I282, I283, I284, I285, I286, I287, I288, I289, I290, I291, I292, I293, I294, I295, I296, I297, I298, I299) [-1 <= I257 - 1 /\ 0 <= I256 - 1 /\ I300 <= I257 - 1 /\ I301 <= I258 - 1 /\ -1 <= I258 - 1 /\ 0 <= I301 - 1 /\ 0 <= I300 - 1 /\ 8 <= I253 - 1 /\ 8 <= I254 - 1 /\ 6 <= I255 - 1 /\ 9 <= I278 - 1 /\ I259 + 9 <= I253 /\ I260 + 9 <= I253 /\ I270 + 7 <= I253 /\ I271 + 5 <= I253 /\ I261 + 4 <= I253 /\ I262 + 4 <= I253 /\ I263 + 9 <= I254 /\ I264 + 9 <= I254 /\ I270 + 7 <= I254 /\ I271 + 5 <= I254 /\ I266 + 4 <= I254 /\ I267 + 4 <= I254 /\ I268 + 7 <= I255 /\ I269 + 7 <= I255 /\ I271 + 3 <= I255 /\ I270 + 5 <= I255 /\ 0 = I265] 13.43/13.45 f6(I302, I303, I304, I305, I306, I307, I308, I309, I310, I311, I312, I313, I314, I315, I316, I317, I318, I319, I320, I321, I322, I323, I324, I325, I326) -> f7(I327, I311, 0, I319, I328, I329, I330, I331, I332, I333, I334, I335, I336, I337, I338, I339, I340, I341, I342, I343, I344, I345, I346, I347, I348) [0 = I318 /\ I311 = I317 /\ 0 = I312 /\ I320 + 4 <= I303 /\ I321 + 4 <= I303 /\ I319 + 5 <= I303 /\ I311 + 7 <= I303 /\ I316 + 9 <= I303 /\ I315 + 9 <= I303 /\ I314 + 4 <= I302 /\ I313 + 4 <= I302 /\ I319 + 5 <= I302 /\ I311 + 7 <= I302 /\ I310 + 9 <= I302 /\ I309 + 9 <= I302 /\ 8 <= I327 - 1 /\ 8 <= I303 - 1 /\ 8 <= I302 - 1] 13.43/13.45 f4(I349, I350, I351, I352, I353, I354, I355, I356, I357, I358, I359, I360, I361, I362, I363, I364, I365, I366, I367, I368, I369, I370, I371, I372, I373) -> f7(I374, I366, 0, I367, I375, I376, I377, I378, I379, I380, I381, I382, I383, I384, I385, I386, I387, I388, I389, I390, I391, I392, I393, I394, I395) [-1 <= I353 - 1 /\ 0 <= I352 - 1 /\ I396 <= I353 - 1 /\ -1 <= I354 - 1 /\ I397 <= I354 - 1 /\ 8 <= I349 - 1 /\ 8 <= I350 - 1 /\ 6 <= I351 - 1 /\ 8 <= I374 - 1 /\ I355 + 9 <= I349 /\ I356 + 9 <= I349 /\ I366 + 7 <= I349 /\ I367 + 5 <= I349 /\ I357 + 4 <= I349 /\ I358 + 4 <= I349 /\ I359 + 9 <= I350 /\ I360 + 9 <= I350 /\ I366 + 7 <= I350 /\ I367 + 5 <= I350 /\ I362 + 4 <= I350 /\ I363 + 4 <= I350 /\ I364 + 7 <= I351 /\ I365 + 7 <= I351 /\ I367 + 3 <= I351 /\ I366 + 5 <= I351 /\ 0 = I361] 13.43/13.45 f4(I398, I399, I400, I401, I402, I403, I404, I405, I406, I407, I408, I409, I410, I411, I412, I413, I414, I415, I416, I417, I418, I419, I420, I421, I422) -> f7(I423, I415, 0, I416, I424, I425, I426, I427, I428, I429, I430, I431, I432, I433, I434, I435, I436, I437, I438, I439, I440, I441, I442, I443, I444) [-1 <= I402 - 1 /\ 0 <= I401 - 1 /\ I445 <= I402 - 1 /\ I446 <= I403 - 1 /\ 0 <= I446 - 1 /\ -1 <= I403 - 1 /\ 8 <= I398 - 1 /\ 8 <= I399 - 1 /\ 6 <= I400 - 1 /\ 8 <= I423 - 1 /\ I404 + 9 <= I398 /\ I405 + 9 <= I398 /\ I415 + 7 <= I398 /\ I416 + 5 <= I398 /\ I406 + 4 <= I398 /\ I407 + 4 <= I398 /\ I408 + 9 <= I399 /\ I409 + 9 <= I399 /\ I415 + 7 <= I399 /\ I416 + 5 <= I399 /\ I411 + 4 <= I399 /\ I412 + 4 <= I399 /\ I413 + 7 <= I400 /\ I414 + 7 <= I400 /\ I416 + 3 <= I400 /\ I415 + 5 <= I400 /\ 0 = I410] 13.43/13.45 f6(I447, I448, I449, I450, I451, I452, I453, I454, I455, I456, I457, I458, I459, I460, I461, I462, I463, I464, I465, I466, I467, I468, I469, I470, I471) -> f6(I472, I473, 1, 1, 1, 1, 1, I474, I475, I456, I457 - 1, I476, I477, I478, I479, I456, I457 - 1, I464, I480, I481, I482, I483, I484, I485, I486) [-1 <= I450 - 1 /\ 0 <= I457 - 1 /\ I487 <= I450 - 1 /\ I488 <= I451 - 1 /\ -1 <= I451 - 1 /\ 8 <= I447 - 1 /\ 8 <= I448 - 1 /\ 8 <= I472 - 1 /\ 8 <= I473 - 1 /\ I454 + 9 <= I447 /\ I455 + 9 <= I447 /\ I456 + 7 <= I447 /\ I464 + 5 <= I447 /\ I457 + 2 <= I447 /\ I458 + 4 <= I447 /\ I459 + 4 <= I447 /\ I460 + 9 <= I448 /\ I461 + 9 <= I448 /\ I456 + 7 <= I448 /\ I464 + 5 <= I448 /\ I457 + 2 <= I448 /\ I466 + 4 <= I448 /\ I465 + 4 <= I448 /\ I451 = I453 /\ I456 = I462 /\ I457 = I463] 13.43/13.45 f6(I489, I490, I491, I492, I493, I494, I495, I496, I497, I498, I499, I500, I501, I502, I503, I504, I505, I506, I507, I508, I509, I510, I511, I512, I513) -> f6(I514, I515, 1, 1, I516, I517, 0, I518, I519, I498, I499 - 1, I520, I521, I522, I523, I498, I499 - 1, I506, I524, I525, I526, I527, I528, I529, I530) [-1 <= I492 - 1 /\ 0 <= I499 - 1 /\ I531 <= I492 - 1 /\ I517 <= I493 - 1 /\ -1 <= I493 - 1 /\ 0 <= I517 - 1 /\ 8 <= I489 - 1 /\ 8 <= I490 - 1 /\ 8 <= I514 - 1 /\ 8 <= I515 - 1 /\ I496 + 9 <= I489 /\ I497 + 9 <= I489 /\ I498 + 7 <= I489 /\ I506 + 5 <= I489 /\ I499 + 2 <= I489 /\ I500 + 4 <= I489 /\ I501 + 4 <= I489 /\ I502 + 9 <= I490 /\ I503 + 9 <= I490 /\ I498 + 7 <= I490 /\ I506 + 5 <= I490 /\ I499 + 2 <= I490 /\ I508 + 4 <= I490 /\ I507 + 4 <= I490 /\ I493 = I495 /\ I498 = I504 /\ I499 = I505] 13.43/13.45 f6(I532, I533, I534, I535, I536, I537, I538, I539, I540, I541, I542, I543, I544, I545, I546, I547, I548, I549, I550, I551, I552, I553, I554, I555, I556) -> f6(I557, I558, 1, I559, 1, 1, 1, I560, I561, I541, I542 - 1, I562, I563, I564, I565, I541, I542 - 1, I549, I566, I567, I568, I569, I570, I571, I572) [-1 <= I535 - 1 /\ 0 <= I542 - 1 /\ I573 <= I535 - 1 /\ I574 <= I536 - 1 /\ -1 <= I536 - 1 /\ 0 <= I573 - 1 /\ 8 <= I532 - 1 /\ 8 <= I533 - 1 /\ 8 <= I557 - 1 /\ 8 <= I558 - 1 /\ I539 + 9 <= I532 /\ I540 + 9 <= I532 /\ I541 + 7 <= I532 /\ I549 + 5 <= I532 /\ I542 + 2 <= I532 /\ I543 + 4 <= I532 /\ I544 + 4 <= I532 /\ I545 + 9 <= I533 /\ I546 + 9 <= I533 /\ I541 + 7 <= I533 /\ I549 + 5 <= I533 /\ I542 + 2 <= I533 /\ I551 + 4 <= I533 /\ I550 + 4 <= I533 /\ I536 = I538 /\ I541 = I547 /\ I542 = I548] 13.43/13.45 f6(I575, I576, I577, I578, I579, I580, I581, I582, I583, I584, I585, I586, I587, I588, I589, I590, I591, I592, I593, I594, I595, I596, I597, I598, I599) -> f6(I600, I601, 1, 0, 0, I602, 0, I603, I604, I584, I585 - 1, I605, I606, I607, I608, I584, I585 - 1, I592, I609, I610, I611, I612, I613, I614, I615) [-1 <= I578 - 1 /\ 0 <= I585 - 1 /\ I616 <= I578 - 1 /\ I602 <= I579 - 1 /\ -1 <= I579 - 1 /\ 0 <= I616 - 1 /\ 0 <= I602 - 1 /\ 8 <= I575 - 1 /\ 8 <= I576 - 1 /\ 8 <= I600 - 1 /\ 8 <= I601 - 1 /\ I582 + 9 <= I575 /\ I583 + 9 <= I575 /\ I584 + 7 <= I575 /\ I592 + 5 <= I575 /\ I585 + 2 <= I575 /\ I586 + 4 <= I575 /\ I587 + 4 <= I575 /\ I588 + 9 <= I576 /\ I589 + 9 <= I576 /\ I584 + 7 <= I576 /\ I592 + 5 <= I576 /\ I585 + 2 <= I576 /\ I594 + 4 <= I576 /\ I593 + 4 <= I576 /\ I579 = I581 /\ I584 = I590 /\ I585 = I591] 13.43/13.45 f6(I617, I618, I619, I620, I621, I622, I623, I624, I625, I626, I627, I628, I629, I630, I631, I632, I633, I634, I635, I636, I637, I638, I639, I640, I641) -> f6(I642, I643, I644, I620, I621, I645, I646, I647, I648, I626, I627 - 1, I649, I650, I651, I652, I626, I627 - 1, I634, I653, I654, I655, I656, I657, I658, I659) [0 <= I622 - 1 /\ 0 <= I619 - 1 /\ 0 <= I623 - 1 /\ 0 <= I627 - 1 /\ I619 <= I644 - 1 /\ 0 <= I620 - 1 /\ I619 <= I621 - 1 /\ 0 <= I621 - 1 /\ I645 <= I622 - 1 /\ I660 <= I646 - 1 /\ I660 <= I623 - 1 /\ -1 <= I660 - 1 /\ I660 <= I645 - 1 /\ 8 <= I617 - 1 /\ 8 <= I618 - 1 /\ 8 <= I642 - 1 /\ 8 <= I643 - 1 /\ I624 + 9 <= I617 /\ I625 + 9 <= I617 /\ I626 + 7 <= I617 /\ I634 + 5 <= I617 /\ I627 + 2 <= I617 /\ I628 + 4 <= I617 /\ I629 + 4 <= I617 /\ I630 + 9 <= I618 /\ I631 + 9 <= I618 /\ I626 + 7 <= I618 /\ I634 + 5 <= I618 /\ I627 + 2 <= I618 /\ I636 + 4 <= I618 /\ I635 + 4 <= I618 /\ I626 = I632 /\ I627 = I633] 13.43/13.45 f4(I661, I662, I663, I664, I665, I666, I667, I668, I669, I670, I671, I672, I673, I674, I675, I676, I677, I678, I679, I680, I681, I682, I683, I684, I685) -> f6(I686, I687, I666, I665, I666, I666, I666, I688, I689, I678, I678, I690, I691, I692, I693, I678, I678, I679, I694, I695, I696, I697, I698, I699, I700) [0 = I673 /\ I678 + 5 <= I663 /\ I679 + 3 <= I663 /\ I677 + 7 <= I663 /\ I676 + 7 <= I663 /\ I675 + 4 <= I662 /\ I674 + 4 <= I662 /\ I679 + 5 <= I662 /\ I678 + 7 <= I662 /\ I672 + 9 <= I662 /\ I671 + 9 <= I662 /\ I670 + 4 <= I661 /\ I669 + 4 <= I661 /\ I679 + 5 <= I661 /\ I678 + 7 <= I661 /\ I668 + 9 <= I661 /\ I667 + 9 <= I661 /\ 8 <= I687 - 1 /\ 8 <= I686 - 1 /\ 6 <= I663 - 1 /\ 8 <= I662 - 1 /\ I664 <= 0 /\ 8 <= I661 - 1] 13.43/13.45 f5(I701, I702, I703, I704, I705, I706, I707, I708, I709, I710, I711, I712, I713, I714, I715, I716, I717, I718, I719, I720, I721, I722, I723, I724, I725) -> f4(I726, I727, I728, I729, I702, I703, I730, I731, I732, I733, I734, I735, 0, I736, I737, I738, I739, I706, I707, I740, I741, I742, I743, I744, I745) [I706 + 5 <= I701 /\ I707 + 3 <= I701 /\ I705 + 7 <= I701 /\ I704 + 7 <= I701 /\ 6 <= I728 - 1 /\ 8 <= I727 - 1 /\ 8 <= I726 - 1 /\ -1 <= I706 - 1 /\ 6 <= I701 - 1] 13.43/13.45 f3(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) -> f4(I771, I772, I773, I774, I775, I776, I777, I778, I779, I780, I781, I782, 0, I783, I784, I785, I786, I787, I788, I789, I790, I791, I792, I793, I794) [-1 <= I787 - 1 /\ 0 <= I747 - 1 /\ -1 <= I795 - 1 /\ 0 <= I746 - 1 /\ 8 <= I771 - 1 /\ 8 <= I772 - 1 /\ 6 <= I773 - 1] 13.43/13.45 f1(I796, I797, I798, I799, I800, I801, I802, I803, I804, I805, I806, I807, I808, I809, I810, I811, I812, I813, I814, I815, I816, I817, I818, I819, I820) -> f2(I796, I821, 0, 0, I798, I822, I823, 0, 0, 0, I824, I825, I826, I827, I798, I799, I799, I828, I800, I829, I830, I801, I802, I831, I832) [I822 = I823 /\ I801 + 5 <= I797 /\ I802 + 3 <= I797 /\ 9 <= I821 - 1 /\ 9 <= I797 - 1] 13.43/13.45 13.43/13.45 We use the basic value criterion with the projection function NU: 13.43/13.45 NU[f6#(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)] = z11 13.43/13.45 13.43/13.45 This gives the following inequalities: 13.43/13.45 0 <= I622 - 1 /\ 0 <= I619 - 1 /\ 0 <= I623 - 1 /\ 0 <= I627 - 1 /\ I619 <= I644 - 1 /\ 0 <= I620 - 1 /\ I619 <= I621 - 1 /\ 0 <= I621 - 1 /\ I645 <= I622 - 1 /\ I660 <= I646 - 1 /\ I660 <= I623 - 1 /\ -1 <= I660 - 1 /\ I660 <= I645 - 1 /\ 8 <= I617 - 1 /\ 8 <= I618 - 1 /\ 8 <= I642 - 1 /\ 8 <= I643 - 1 /\ I624 + 9 <= I617 /\ I625 + 9 <= I617 /\ I626 + 7 <= I617 /\ I634 + 5 <= I617 /\ I627 + 2 <= I617 /\ I628 + 4 <= I617 /\ I629 + 4 <= I617 /\ I630 + 9 <= I618 /\ I631 + 9 <= I618 /\ I626 + 7 <= I618 /\ I634 + 5 <= I618 /\ I627 + 2 <= I618 /\ I636 + 4 <= I618 /\ I635 + 4 <= I618 /\ I626 = I632 /\ I627 = I633 ==> I627 >! I627 - 1 13.43/13.45 13.43/13.45 All dependency pairs are strictly oriented, so the entire dependency pair problem may be removed. 13.43/13.45 13.43/13.45 DP problem for innermost termination. 13.43/13.45 P = 13.43/13.45 f8#(I38, I39, I40, I41, I42, I43, I44, I45, I46, I47, I48, I49, I50, I51, I52, I53, I54, I55, I56, I57, I58, I59, I60, I61, I62) -> f8#(I63, I39 - 1, I40, I64, I65, I43, I44, I45, I66, I47, I67, I49, I68, I69, I70, I71, I72, I73, I74, I57 + 1, I75, I76, I77, I61 + 1, I62 + 1) [0 <= I39 - 1 /\ -1 <= I78 - 1 /\ 0 <= I43 - 1 /\ 0 <= I40 - 1 /\ -1 <= I57 - 1 /\ I57 <= I78 - 1 /\ 0 <= I47 - 1 /\ 0 <= I41 - 1 /\ 0 <= I50 - 1 /\ 0 <= I48 - 1 /\ 0 <= I49 - 1 /\ -1 <= I79 - 1 /\ 0 <= I46 - 1 /\ 0 <= I42 - 1 /\ 0 <= I56 - 1 /\ 0 <= I51 - 1 /\ 0 <= I55 - 1 /\ 0 <= I54 - 1 /\ 0 <= I52 - 1 /\ 0 <= I53 - 1 /\ -1 <= I62 - 1 /\ -1 <= I61 - 1 /\ 9 <= I38 - 1 /\ 9 <= I63 - 1 /\ I58 + 9 <= I38 /\ I59 + 9 <= I38 /\ I60 + 9 <= I38 /\ I62 + 3 <= I38 /\ I61 + 5 <= I38] 13.43/13.45 R = 13.43/13.45 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) -> f3(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) 13.43/13.45 f8(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) -> f8(I25, I1 - 1, 0, 1, 1, I26, I27, I7, I28, I9, I29, I11, 0, 2, I30, I31, I32, I33, I34, I19 + 1, I35, I36, I37, I23 + 1, I24 + 1) [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 <= I25 - 1 /\ I20 + 9 <= I0 /\ I21 + 9 <= I0 /\ I22 + 9 <= I0 /\ I24 + 3 <= I0 /\ I23 + 5 <= I0 /\ I7 = I8 /\ I9 = I10 /\ I11 = I12 /\ I6 = I15] 13.43/13.45 f8(I38, I39, I40, I41, I42, I43, I44, I45, I46, I47, I48, I49, I50, I51, I52, I53, I54, I55, I56, I57, I58, I59, I60, I61, I62) -> f8(I63, I39 - 1, I40, I64, I65, I43, I44, I45, I66, I47, I67, I49, I68, I69, I70, I71, I72, I73, I74, I57 + 1, I75, I76, I77, I61 + 1, I62 + 1) [0 <= I39 - 1 /\ -1 <= I78 - 1 /\ 0 <= I43 - 1 /\ 0 <= I40 - 1 /\ -1 <= I57 - 1 /\ I57 <= I78 - 1 /\ 0 <= I47 - 1 /\ 0 <= I41 - 1 /\ 0 <= I50 - 1 /\ 0 <= I48 - 1 /\ 0 <= I49 - 1 /\ -1 <= I79 - 1 /\ 0 <= I46 - 1 /\ 0 <= I42 - 1 /\ 0 <= I56 - 1 /\ 0 <= I51 - 1 /\ 0 <= I55 - 1 /\ 0 <= I54 - 1 /\ 0 <= I52 - 1 /\ 0 <= I53 - 1 /\ -1 <= I62 - 1 /\ -1 <= I61 - 1 /\ 9 <= I38 - 1 /\ 9 <= I63 - 1 /\ I58 + 9 <= I38 /\ I59 + 9 <= I38 /\ I60 + 9 <= I38 /\ I62 + 3 <= I38 /\ I61 + 5 <= I38] 13.43/13.45 f2(I80, I81, I82, I83, I84, I85, I86, I87, I88, I89, I90, I91, I92, I93, I94, I95, I96, I97, I98, I99, I100, I101, I102, I103, I104) -> f8(I105, I80, I92, I90, I86, I91, I85, I106, I82, I93, I84, 0, I83, I87, I88, I89, I94, I95, I96, I98, I107, I108, I109, I101, I102) [I101 + 5 <= I81 /\ I102 + 3 <= I81 /\ I100 + 9 <= I81 /\ I99 + 9 <= I81 /\ 11 <= I105 - 1 /\ 11 <= I81 - 1] 13.43/13.45 f3(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) -> f1(I135, I136, I137, I138, 1, 0, 0, I139, I140, I141, I142, I143, I144, I145, I146, I147, I148, I149, I150, I151, I152, I153, I154, I155, I156) [7 <= I136 - 1 /\ 0 <= I110 - 1 /\ I136 - 7 <= I110 /\ 0 <= I111 - 1 /\ -1 <= I135 - 1] 13.43/13.45 f7(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) -> f7(I182, I158, I159 + 1, I160, I183, I184, I185, I186, I187, I188, I189, I190, I191, I192, I193, I194, I195, I196, I197, I198, I199, I200, I201, I202, I203) [I161 + 4 <= I157 /\ I162 + 4 <= I157 /\ I159 + 2 <= I157 /\ I160 + 5 <= I157 /\ I158 + 7 <= I157 /\ 7 <= I182 - 1 /\ 7 <= I157 - 1 /\ I159 <= I158 - 1 /\ -1 <= I159 - 1] 13.43/13.45 f4(I204, I205, I206, I207, I208, I209, I210, I211, I212, I213, I214, I215, I216, I217, I218, I219, I220, I221, I222, I223, I224, I225, I226, I227, I228) -> f7(I229, I221, 0, I222, I230, I231, I232, I233, I234, I235, I236, I237, I238, I239, I240, I241, I242, I243, I244, I245, I246, I247, I248, I249, I250) [-1 <= I208 - 1 /\ 0 <= I207 - 1 /\ I251 <= I208 - 1 /\ I252 <= I209 - 1 /\ 0 <= I251 - 1 /\ -1 <= I209 - 1 /\ 8 <= I204 - 1 /\ 8 <= I205 - 1 /\ 6 <= I206 - 1 /\ 9 <= I229 - 1 /\ I210 + 9 <= I204 /\ I211 + 9 <= I204 /\ I221 + 7 <= I204 /\ I222 + 5 <= I204 /\ I212 + 4 <= I204 /\ I213 + 4 <= I204 /\ I214 + 9 <= I205 /\ I215 + 9 <= I205 /\ I221 + 7 <= I205 /\ I222 + 5 <= I205 /\ I217 + 4 <= I205 /\ I218 + 4 <= I205 /\ I219 + 7 <= I206 /\ I220 + 7 <= I206 /\ I222 + 3 <= I206 /\ I221 + 5 <= I206 /\ 0 = I216] 13.43/13.45 f4(I253, I254, I255, I256, I257, I258, I259, I260, I261, I262, I263, I264, I265, I266, I267, I268, I269, I270, I271, I272, I273, I274, I275, I276, I277) -> f7(I278, I270, 0, I271, I279, I280, I281, I282, I283, I284, I285, I286, I287, I288, I289, I290, I291, I292, I293, I294, I295, I296, I297, I298, I299) [-1 <= I257 - 1 /\ 0 <= I256 - 1 /\ I300 <= I257 - 1 /\ I301 <= I258 - 1 /\ -1 <= I258 - 1 /\ 0 <= I301 - 1 /\ 0 <= I300 - 1 /\ 8 <= I253 - 1 /\ 8 <= I254 - 1 /\ 6 <= I255 - 1 /\ 9 <= I278 - 1 /\ I259 + 9 <= I253 /\ I260 + 9 <= I253 /\ I270 + 7 <= I253 /\ I271 + 5 <= I253 /\ I261 + 4 <= I253 /\ I262 + 4 <= I253 /\ I263 + 9 <= I254 /\ I264 + 9 <= I254 /\ I270 + 7 <= I254 /\ I271 + 5 <= I254 /\ I266 + 4 <= I254 /\ I267 + 4 <= I254 /\ I268 + 7 <= I255 /\ I269 + 7 <= I255 /\ I271 + 3 <= I255 /\ I270 + 5 <= I255 /\ 0 = I265] 13.43/13.45 f6(I302, I303, I304, I305, I306, I307, I308, I309, I310, I311, I312, I313, I314, I315, I316, I317, I318, I319, I320, I321, I322, I323, I324, I325, I326) -> f7(I327, I311, 0, I319, I328, I329, I330, I331, I332, I333, I334, I335, I336, I337, I338, I339, I340, I341, I342, I343, I344, I345, I346, I347, I348) [0 = I318 /\ I311 = I317 /\ 0 = I312 /\ I320 + 4 <= I303 /\ I321 + 4 <= I303 /\ I319 + 5 <= I303 /\ I311 + 7 <= I303 /\ I316 + 9 <= I303 /\ I315 + 9 <= I303 /\ I314 + 4 <= I302 /\ I313 + 4 <= I302 /\ I319 + 5 <= I302 /\ I311 + 7 <= I302 /\ I310 + 9 <= I302 /\ I309 + 9 <= I302 /\ 8 <= I327 - 1 /\ 8 <= I303 - 1 /\ 8 <= I302 - 1] 13.43/13.45 f4(I349, I350, I351, I352, I353, I354, I355, I356, I357, I358, I359, I360, I361, I362, I363, I364, I365, I366, I367, I368, I369, I370, I371, I372, I373) -> f7(I374, I366, 0, I367, I375, I376, I377, I378, I379, I380, I381, I382, I383, I384, I385, I386, I387, I388, I389, I390, I391, I392, I393, I394, I395) [-1 <= I353 - 1 /\ 0 <= I352 - 1 /\ I396 <= I353 - 1 /\ -1 <= I354 - 1 /\ I397 <= I354 - 1 /\ 8 <= I349 - 1 /\ 8 <= I350 - 1 /\ 6 <= I351 - 1 /\ 8 <= I374 - 1 /\ I355 + 9 <= I349 /\ I356 + 9 <= I349 /\ I366 + 7 <= I349 /\ I367 + 5 <= I349 /\ I357 + 4 <= I349 /\ I358 + 4 <= I349 /\ I359 + 9 <= I350 /\ I360 + 9 <= I350 /\ I366 + 7 <= I350 /\ I367 + 5 <= I350 /\ I362 + 4 <= I350 /\ I363 + 4 <= I350 /\ I364 + 7 <= I351 /\ I365 + 7 <= I351 /\ I367 + 3 <= I351 /\ I366 + 5 <= I351 /\ 0 = I361] 13.43/13.45 f4(I398, I399, I400, I401, I402, I403, I404, I405, I406, I407, I408, I409, I410, I411, I412, I413, I414, I415, I416, I417, I418, I419, I420, I421, I422) -> f7(I423, I415, 0, I416, I424, I425, I426, I427, I428, I429, I430, I431, I432, I433, I434, I435, I436, I437, I438, I439, I440, I441, I442, I443, I444) [-1 <= I402 - 1 /\ 0 <= I401 - 1 /\ I445 <= I402 - 1 /\ I446 <= I403 - 1 /\ 0 <= I446 - 1 /\ -1 <= I403 - 1 /\ 8 <= I398 - 1 /\ 8 <= I399 - 1 /\ 6 <= I400 - 1 /\ 8 <= I423 - 1 /\ I404 + 9 <= I398 /\ I405 + 9 <= I398 /\ I415 + 7 <= I398 /\ I416 + 5 <= I398 /\ I406 + 4 <= I398 /\ I407 + 4 <= I398 /\ I408 + 9 <= I399 /\ I409 + 9 <= I399 /\ I415 + 7 <= I399 /\ I416 + 5 <= I399 /\ I411 + 4 <= I399 /\ I412 + 4 <= I399 /\ I413 + 7 <= I400 /\ I414 + 7 <= I400 /\ I416 + 3 <= I400 /\ I415 + 5 <= I400 /\ 0 = I410] 13.43/13.45 f6(I447, I448, I449, I450, I451, I452, I453, I454, I455, I456, I457, I458, I459, I460, I461, I462, I463, I464, I465, I466, I467, I468, I469, I470, I471) -> f6(I472, I473, 1, 1, 1, 1, 1, I474, I475, I456, I457 - 1, I476, I477, I478, I479, I456, I457 - 1, I464, I480, I481, I482, I483, I484, I485, I486) [-1 <= I450 - 1 /\ 0 <= I457 - 1 /\ I487 <= I450 - 1 /\ I488 <= I451 - 1 /\ -1 <= I451 - 1 /\ 8 <= I447 - 1 /\ 8 <= I448 - 1 /\ 8 <= I472 - 1 /\ 8 <= I473 - 1 /\ I454 + 9 <= I447 /\ I455 + 9 <= I447 /\ I456 + 7 <= I447 /\ I464 + 5 <= I447 /\ I457 + 2 <= I447 /\ I458 + 4 <= I447 /\ I459 + 4 <= I447 /\ I460 + 9 <= I448 /\ I461 + 9 <= I448 /\ I456 + 7 <= I448 /\ I464 + 5 <= I448 /\ I457 + 2 <= I448 /\ I466 + 4 <= I448 /\ I465 + 4 <= I448 /\ I451 = I453 /\ I456 = I462 /\ I457 = I463] 13.43/13.45 f6(I489, I490, I491, I492, I493, I494, I495, I496, I497, I498, I499, I500, I501, I502, I503, I504, I505, I506, I507, I508, I509, I510, I511, I512, I513) -> f6(I514, I515, 1, 1, I516, I517, 0, I518, I519, I498, I499 - 1, I520, I521, I522, I523, I498, I499 - 1, I506, I524, I525, I526, I527, I528, I529, I530) [-1 <= I492 - 1 /\ 0 <= I499 - 1 /\ I531 <= I492 - 1 /\ I517 <= I493 - 1 /\ -1 <= I493 - 1 /\ 0 <= I517 - 1 /\ 8 <= I489 - 1 /\ 8 <= I490 - 1 /\ 8 <= I514 - 1 /\ 8 <= I515 - 1 /\ I496 + 9 <= I489 /\ I497 + 9 <= I489 /\ I498 + 7 <= I489 /\ I506 + 5 <= I489 /\ I499 + 2 <= I489 /\ I500 + 4 <= I489 /\ I501 + 4 <= I489 /\ I502 + 9 <= I490 /\ I503 + 9 <= I490 /\ I498 + 7 <= I490 /\ I506 + 5 <= I490 /\ I499 + 2 <= I490 /\ I508 + 4 <= I490 /\ I507 + 4 <= I490 /\ I493 = I495 /\ I498 = I504 /\ I499 = I505] 13.43/13.45 f6(I532, I533, I534, I535, I536, I537, I538, I539, I540, I541, I542, I543, I544, I545, I546, I547, I548, I549, I550, I551, I552, I553, I554, I555, I556) -> f6(I557, I558, 1, I559, 1, 1, 1, I560, I561, I541, I542 - 1, I562, I563, I564, I565, I541, I542 - 1, I549, I566, I567, I568, I569, I570, I571, I572) [-1 <= I535 - 1 /\ 0 <= I542 - 1 /\ I573 <= I535 - 1 /\ I574 <= I536 - 1 /\ -1 <= I536 - 1 /\ 0 <= I573 - 1 /\ 8 <= I532 - 1 /\ 8 <= I533 - 1 /\ 8 <= I557 - 1 /\ 8 <= I558 - 1 /\ I539 + 9 <= I532 /\ I540 + 9 <= I532 /\ I541 + 7 <= I532 /\ I549 + 5 <= I532 /\ I542 + 2 <= I532 /\ I543 + 4 <= I532 /\ I544 + 4 <= I532 /\ I545 + 9 <= I533 /\ I546 + 9 <= I533 /\ I541 + 7 <= I533 /\ I549 + 5 <= I533 /\ I542 + 2 <= I533 /\ I551 + 4 <= I533 /\ I550 + 4 <= I533 /\ I536 = I538 /\ I541 = I547 /\ I542 = I548] 13.43/13.45 f6(I575, I576, I577, I578, I579, I580, I581, I582, I583, I584, I585, I586, I587, I588, I589, I590, I591, I592, I593, I594, I595, I596, I597, I598, I599) -> f6(I600, I601, 1, 0, 0, I602, 0, I603, I604, I584, I585 - 1, I605, I606, I607, I608, I584, I585 - 1, I592, I609, I610, I611, I612, I613, I614, I615) [-1 <= I578 - 1 /\ 0 <= I585 - 1 /\ I616 <= I578 - 1 /\ I602 <= I579 - 1 /\ -1 <= I579 - 1 /\ 0 <= I616 - 1 /\ 0 <= I602 - 1 /\ 8 <= I575 - 1 /\ 8 <= I576 - 1 /\ 8 <= I600 - 1 /\ 8 <= I601 - 1 /\ I582 + 9 <= I575 /\ I583 + 9 <= I575 /\ I584 + 7 <= I575 /\ I592 + 5 <= I575 /\ I585 + 2 <= I575 /\ I586 + 4 <= I575 /\ I587 + 4 <= I575 /\ I588 + 9 <= I576 /\ I589 + 9 <= I576 /\ I584 + 7 <= I576 /\ I592 + 5 <= I576 /\ I585 + 2 <= I576 /\ I594 + 4 <= I576 /\ I593 + 4 <= I576 /\ I579 = I581 /\ I584 = I590 /\ I585 = I591] 13.43/13.45 f6(I617, I618, I619, I620, I621, I622, I623, I624, I625, I626, I627, I628, I629, I630, I631, I632, I633, I634, I635, I636, I637, I638, I639, I640, I641) -> f6(I642, I643, I644, I620, I621, I645, I646, I647, I648, I626, I627 - 1, I649, I650, I651, I652, I626, I627 - 1, I634, I653, I654, I655, I656, I657, I658, I659) [0 <= I622 - 1 /\ 0 <= I619 - 1 /\ 0 <= I623 - 1 /\ 0 <= I627 - 1 /\ I619 <= I644 - 1 /\ 0 <= I620 - 1 /\ I619 <= I621 - 1 /\ 0 <= I621 - 1 /\ I645 <= I622 - 1 /\ I660 <= I646 - 1 /\ I660 <= I623 - 1 /\ -1 <= I660 - 1 /\ I660 <= I645 - 1 /\ 8 <= I617 - 1 /\ 8 <= I618 - 1 /\ 8 <= I642 - 1 /\ 8 <= I643 - 1 /\ I624 + 9 <= I617 /\ I625 + 9 <= I617 /\ I626 + 7 <= I617 /\ I634 + 5 <= I617 /\ I627 + 2 <= I617 /\ I628 + 4 <= I617 /\ I629 + 4 <= I617 /\ I630 + 9 <= I618 /\ I631 + 9 <= I618 /\ I626 + 7 <= I618 /\ I634 + 5 <= I618 /\ I627 + 2 <= I618 /\ I636 + 4 <= I618 /\ I635 + 4 <= I618 /\ I626 = I632 /\ I627 = I633] 13.43/13.45 f4(I661, I662, I663, I664, I665, I666, I667, I668, I669, I670, I671, I672, I673, I674, I675, I676, I677, I678, I679, I680, I681, I682, I683, I684, I685) -> f6(I686, I687, I666, I665, I666, I666, I666, I688, I689, I678, I678, I690, I691, I692, I693, I678, I678, I679, I694, I695, I696, I697, I698, I699, I700) [0 = I673 /\ I678 + 5 <= I663 /\ I679 + 3 <= I663 /\ I677 + 7 <= I663 /\ I676 + 7 <= I663 /\ I675 + 4 <= I662 /\ I674 + 4 <= I662 /\ I679 + 5 <= I662 /\ I678 + 7 <= I662 /\ I672 + 9 <= I662 /\ I671 + 9 <= I662 /\ I670 + 4 <= I661 /\ I669 + 4 <= I661 /\ I679 + 5 <= I661 /\ I678 + 7 <= I661 /\ I668 + 9 <= I661 /\ I667 + 9 <= I661 /\ 8 <= I687 - 1 /\ 8 <= I686 - 1 /\ 6 <= I663 - 1 /\ 8 <= I662 - 1 /\ I664 <= 0 /\ 8 <= I661 - 1] 13.43/13.45 f5(I701, I702, I703, I704, I705, I706, I707, I708, I709, I710, I711, I712, I713, I714, I715, I716, I717, I718, I719, I720, I721, I722, I723, I724, I725) -> f4(I726, I727, I728, I729, I702, I703, I730, I731, I732, I733, I734, I735, 0, I736, I737, I738, I739, I706, I707, I740, I741, I742, I743, I744, I745) [I706 + 5 <= I701 /\ I707 + 3 <= I701 /\ I705 + 7 <= I701 /\ I704 + 7 <= I701 /\ 6 <= I728 - 1 /\ 8 <= I727 - 1 /\ 8 <= I726 - 1 /\ -1 <= I706 - 1 /\ 6 <= I701 - 1] 13.43/13.45 f3(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) -> f4(I771, I772, I773, I774, I775, I776, I777, I778, I779, I780, I781, I782, 0, I783, I784, I785, I786, I787, I788, I789, I790, I791, I792, I793, I794) [-1 <= I787 - 1 /\ 0 <= I747 - 1 /\ -1 <= I795 - 1 /\ 0 <= I746 - 1 /\ 8 <= I771 - 1 /\ 8 <= I772 - 1 /\ 6 <= I773 - 1] 13.43/13.45 f1(I796, I797, I798, I799, I800, I801, I802, I803, I804, I805, I806, I807, I808, I809, I810, I811, I812, I813, I814, I815, I816, I817, I818, I819, I820) -> f2(I796, I821, 0, 0, I798, I822, I823, 0, 0, 0, I824, I825, I826, I827, I798, I799, I799, I828, I800, I829, I830, I801, I802, I831, I832) [I822 = I823 /\ I801 + 5 <= I797 /\ I802 + 3 <= I797 /\ 9 <= I821 - 1 /\ 9 <= I797 - 1] 13.43/13.45 13.43/13.45 We use the basic value criterion with the projection function NU: 13.43/13.45 NU[f8#(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)] = z2 13.43/13.45 13.43/13.45 This gives the following inequalities: 13.43/13.45 0 <= I39 - 1 /\ -1 <= I78 - 1 /\ 0 <= I43 - 1 /\ 0 <= I40 - 1 /\ -1 <= I57 - 1 /\ I57 <= I78 - 1 /\ 0 <= I47 - 1 /\ 0 <= I41 - 1 /\ 0 <= I50 - 1 /\ 0 <= I48 - 1 /\ 0 <= I49 - 1 /\ -1 <= I79 - 1 /\ 0 <= I46 - 1 /\ 0 <= I42 - 1 /\ 0 <= I56 - 1 /\ 0 <= I51 - 1 /\ 0 <= I55 - 1 /\ 0 <= I54 - 1 /\ 0 <= I52 - 1 /\ 0 <= I53 - 1 /\ -1 <= I62 - 1 /\ -1 <= I61 - 1 /\ 9 <= I38 - 1 /\ 9 <= I63 - 1 /\ I58 + 9 <= I38 /\ I59 + 9 <= I38 /\ I60 + 9 <= I38 /\ I62 + 3 <= I38 /\ I61 + 5 <= I38 ==> I39 >! I39 - 1 13.43/13.45 13.43/13.45 All dependency pairs are strictly oriented, so the entire dependency pair problem may be removed. 13.43/16.43 EOF