62.76/61.84 MAYBE 62.76/61.84 62.76/61.84 DP problem for innermost termination. 62.76/61.84 P = 62.76/61.84 init#(x1, x2, x3, x4, x5, x6, x7, x8, x9) -> f3#(rnd1, rnd2, rnd3, rnd4, rnd5, rnd6, rnd7, rnd8, rnd9) 62.76/61.84 f2#(I0, I1, I2, I3, I4, I5, I6, I7, I8) -> f9#(I9, I1 - 1, I10, I11, I12, I13, I14, I15, I16) [I8 + 2 <= I3 /\ I7 + 2 <= I2 /\ I6 + 4 <= I0 /\ I5 + 4 <= I0 /\ 4 <= I9 - 1 /\ 2 <= I3 - 1 /\ 0 <= I2 - 1 /\ 4 <= I0 - 1 /\ 0 <= I1 - 1 /\ I1 - 1 <= I1 - 1] 62.76/61.84 f19#(I17, I18, I19, I20, I21, I22, I23, I24, I25) -> f9#(I26, I18, I27, I28, I29, I30, I31, I32, I33) [0 <= I17 - 1 /\ 2 <= I26 - 1 /\ I18 <= I17 - 1] 62.76/61.84 f2#(I34, I35, I36, I37, I38, I39, I40, I41, I42) -> f9#(I43, I35 - 1, I44, I45, I46, I47, I48, I49, I50) [I41 = I42 /\ I39 = I40 /\ I41 + 2 <= I37 /\ I41 + 2 <= I36 /\ I39 + 4 <= I34 /\ 4 <= I43 - 1 /\ 2 <= I37 - 1 /\ 2 <= I36 - 1 /\ 4 <= I34 - 1 /\ I43 - 2 <= I37 /\ I43 - 2 <= I36 /\ I43 <= I34 /\ I35 - 1 <= I35 - 1 /\ 0 <= I35 - 1] 62.76/61.84 f18#(I51, I52, I53, I54, I55, I56, I57, I58, I59) -> f9#(I60, I51 - 1, I61, I62, I63, I64, I65, I66, I67) [4 <= I60 - 1 /\ 2 <= I53 - 1 /\ 0 <= I52 - 1 /\ I51 - 1 <= I51 - 1 /\ 0 <= I51 - 1] 62.76/61.84 f18#(I68, I69, I70, I71, I72, I73, I74, I75, I76) -> f19#(I68, I68 - 1, I71, I77, I78, I79, I80, I81, I82) [2 <= I70 - 1 /\ 0 <= I68 - 1 /\ 2 <= I69 - 1] 62.76/61.84 f1#(I83, I84, I85, I86, I87, I88, I89, I90, I91) -> f19#(I84, I84 - 1, I87, I92, I93, I94, I95, I96, I97) [I89 + 2 <= I86 /\ I88 + 4 <= I85 /\ I88 + 4 <= I83 /\ 4 <= I86 - 1 /\ 4 <= I85 - 1 /\ 0 <= I84 - 1 /\ 4 <= I83 - 1] 62.76/61.84 f17#(I98, I99, I100, I101, I102, I103, I104, I105, I106) -> f19#(I99, I99 - 1, I101, I107, I108, I109, I110, I111, I112) [2 <= I100 - 1 /\ 0 <= I99 - 1 /\ 2 <= I98 - 1] 62.76/61.84 f17#(I113, I114, I115, I116, I117, I118, I119, I120, I121) -> f9#(I122, I114 - 1, I123, I124, I125, I126, I127, I128, I129) [4 <= I122 - 1 /\ 0 <= I115 - 1 /\ 2 <= I113 - 1 /\ I114 - 1 <= I114 - 1 /\ 0 <= I114 - 1] 62.76/61.84 f16#(I130, I131, I132, I133, I134, I135, I136, I137, I138) -> f18#(I131, I139, I140, I133, I141, I142, I143, I144, I145) [I134 + 3 <= I132 /\ I134 + 3 <= I130 /\ 2 <= I140 - 1 /\ 0 <= I139 - 1 /\ 2 <= I132 - 1 /\ 2 <= I130 - 1] 62.76/61.84 f16#(I146, I147, I148, I149, I150, I151, I152, I153, I154) -> f1#(I155, I147, I156, I157, I149, I158, I159, I160, I161) [I150 + 3 <= I146 /\ 2 <= I157 - 1 /\ 0 <= I156 - 1 /\ 4 <= I155 - 1 /\ 0 <= I148 - 1 /\ 2 <= I146 - 1] 62.76/61.84 f9#(I162, I163, I164, I165, I166, I167, I168, I169, I170) -> f17#(I171, I163, I172, I173, I174, I175, I176, I177, I178) [0 <= I172 - 1 /\ 2 <= I171 - 1 /\ 2 <= I162 - 1 /\ 0 <= I163 - 1 /\ I171 <= I162] 62.76/61.84 f9#(I179, I180, I181, I182, I183, I184, I185, I186, I187) -> f16#(I188, I180, I189, I190, I191, I192, I193, I194, I195) [I191 + 3 <= I179 /\ 0 <= I189 - 1 /\ 2 <= I188 - 1 /\ 2 <= I179 - 1 /\ 0 <= I180 - 1 /\ I188 <= I179] 62.76/61.84 f15#(I196, I197, I198, I199, I200, I201, I202, I203, I204) -> f15#(I205, I206, I207, I208, I209, I210, I211, I212, I213) [I198 + 2 <= I196 /\ -1 <= I206 - 1 /\ 0 <= I205 - 1 /\ 0 <= I197 - 1 /\ 2 <= I196 - 1] 62.76/61.84 f4#(I214, I215, I216, I217, I218, I219, I220, I221, I222) -> f15#(I223, I224, I225, I226, I227, I228, I229, I230, I231) [y2 <= y1 - 1 /\ -1 <= y2 - 1 /\ 0 <= y1 - 1 /\ -1 <= y3 - 1 /\ y2 + 1 <= y1 /\ I223 <= I215 /\ 0 <= I214 - 1 /\ 0 <= I215 - 1 /\ 0 <= I223 - 1 /\ -1 <= I224 - 1 /\ I225 + 2 <= I215] 62.76/61.84 f6#(I232, I233, I234, I235, I236, I237, I238, I239, I240) -> f15#(I241, I242, I243, I244, I245, I246, I247, I248, I249) [I241 <= I233 /\ I250 <= I234 /\ 0 <= I232 - 1 /\ 0 <= I233 - 1 /\ 0 <= I241 - 1 /\ -1 <= I242 - 1 /\ I243 + 2 <= I233] 62.76/61.84 f14#(I251, I252, I253, I254, I255, I256, I257, I258, I259) -> f13#(I260, I253 + 1, I251, I255, I256, I261, I262, I263, I264) [4 <= I260 - 1 /\ 0 <= I254 - 1 /\ 2 <= I252 - 1] 62.76/61.84 f14#(I265, I266, I267, I268, I269, I270, I271, I272, I273) -> f13#(I274, I267 + 1, I265, I269, I270, I275, I276, I277, I278) [1 <= I274 - 1 /\ -1 <= I268 - 1 /\ 1 <= I266 - 1 /\ I274 - 2 <= I268 /\ I274 <= I266] 62.76/61.84 f13#(I279, I280, I281, I282, I283, I284, I285, I286, I287) -> f14#(I281, I288, I280, I289, I282, I283 + 1, I290, I291, I292) [I280 <= I281 - 1 /\ -1 <= I282 - 1 /\ I283 <= I282 - 1 /\ -1 <= I283 - 1 /\ -1 <= I293 - 1 /\ I289 <= I279 /\ -1 <= I279 - 1 /\ 1 <= I288 - 1 /\ -1 <= I289 - 1] 62.76/61.84 f13#(I294, I295, I296, I297, I298, I299, I300, I301, I302) -> f14#(I296, I303, I295, I304, I297, I298 + 1, I305, I306, I307) [-1 <= I304 - 1 /\ 1 <= I303 - 1 /\ -1 <= I294 - 1 /\ I304 <= I294 /\ -1 <= I298 - 1 /\ I298 <= I297 - 1 /\ -1 <= I297 - 1 /\ I295 <= I296 - 1] 62.76/61.84 f13#(I308, I309, I310, I311, I312, I313, I314, I315, I316) -> f13#(I317, I309 + 1, I310, I311, I312, I318, I319, I320, I321) [4 <= I317 - 1 /\ 0 <= I308 - 1 /\ I309 <= I310 - 1 /\ -1 <= I311 - 1 /\ I311 <= I312] 62.76/61.84 f13#(I322, I323, I324, I325, I326, I327, I328, I329, I330) -> f13#(I331, I323 + 1, I324, I325, I326, I332, I333, I334, I335) [1 <= I331 - 1 /\ -1 <= I322 - 1 /\ I331 - 2 <= I322 /\ I323 <= I324 - 1 /\ -1 <= I325 - 1 /\ I325 <= I326] 62.76/61.84 f3#(I336, I337, I338, I339, I340, I341, I342, I343, I344) -> f13#(I345, 0, I346, I337, 1, I347, I348, I349, I350) [-1 <= I345 - 1 /\ 0 <= I336 - 1 /\ I345 + 1 <= I336 /\ 0 <= I337 - 1 /\ -1 <= I346 - 1] 62.76/61.84 f3#(I351, I352, I353, I354, I355, I356, I357, I358, I359) -> f13#(I360, 0, 0, I352, 1, I361, I362, I363, I364) [-1 <= I360 - 1 /\ 0 <= I351 - 1 /\ 0 <= I352 - 1 /\ I360 + 1 <= I351] 62.76/61.84 f3#(I365, I366, I367, I368, I369, I370, I371, I372, I373) -> f13#(I374, 0, 0, 0, 0, I375, I376, I377, I378) [0 = I366 /\ -1 <= I374 - 1 /\ 0 <= I365 - 1 /\ I374 + 1 <= I365] 62.76/61.84 f11#(I379, I380, I381, I382, I383, I384, I385, I386, I387) -> f9#(I388, I389, I390, I391, I392, I393, I394, I395, I396) [I397 <= I398 - 1 /\ 0 <= I397 - 1 /\ 1 <= I398 - 1 /\ -1 <= I389 - 1 /\ I397 + 1 <= I398 /\ I388 <= I380 /\ 0 <= I379 - 1 /\ 0 <= I380 - 1 /\ 0 <= I388 - 1] 62.76/61.84 f11#(I399, I400, I401, I402, I403, I404, I405, I406, I407) -> f12#(I408, I409, I410, I411, I412, I413, I414, I415, I416) [I417 <= I418 - 1 /\ 0 <= I417 - 1 /\ I408 <= I399 /\ I408 - 1 <= I400 /\ I409 <= I400 /\ 0 <= I399 - 1 /\ -1 <= I400 - 1 /\ 0 <= I408 - 1 /\ -1 <= I409 - 1 /\ I417 + 1 = I410] 62.76/61.84 f12#(I419, I420, I421, I422, I423, I424, I425, I426, I427) -> f9#(I428, 0, I429, I430, I431, I432, I433, I434, I435) [I436 <= I421 /\ 0 <= I436 - 1 /\ 0 <= I421 - 1 /\ I428 <= I420 /\ 0 <= I419 - 1 /\ 0 <= I420 - 1 /\ 0 <= I428 - 1] 62.76/61.84 f8#(I437, I438, I439, I440, I441, I442, I443, I444, I445) -> f11#(I446, I447, I448, I449, I450, I451, I452, I453, I454) [-1 <= I455 - 1 /\ 0 <= I439 - 1 /\ I446 <= I437 /\ I446 - 1 <= I438 /\ I447 + 1 <= I437 /\ I447 <= I438 /\ 0 <= I437 - 1 /\ -1 <= I438 - 1 /\ 0 <= I446 - 1 /\ -1 <= I447 - 1] 62.76/61.84 f11#(I456, I457, I458, I459, I460, I461, I462, I463, I464) -> f12#(I465, I466, I467, I468, I469, I470, I471, I472, I473) [I465 <= I456 /\ I474 <= I467 /\ I465 - 1 <= I457 /\ I466 <= I457 /\ 0 <= I456 - 1 /\ -1 <= I457 - 1 /\ 0 <= I465 - 1 /\ -1 <= I466 - 1] 62.76/61.84 f8#(I475, I476, I477, I478, I479, I480, I481, I482, I483) -> f8#(I484, I485, I477, I478, I486, I487, I488, I489, I490) [-1 <= I485 - 1 /\ 0 <= I484 - 1 /\ 0 <= I476 - 1 /\ 0 <= I475 - 1 /\ I484 <= I476 /\ 0 <= I477 - 1 /\ I484 <= I475] 62.76/61.84 f10#(I491, I492, I493, I494, I495, I496, I497, I498, I499) -> f9#(I500, I493, I501, I502, I503, I504, I505, I506, I507) [I494 <= I508 /\ 0 <= I508 - 1 /\ 0 <= I494 - 1 /\ I500 <= I492 /\ 0 <= I491 - 1 /\ 1 <= I492 - 1 /\ 1 <= I500 - 1 /\ I495 + 2 <= I492] 62.76/61.84 f8#(I509, I510, I511, I512, I513, I514, I515, I516, I517) -> f11#(I518, I519, I520, I521, I522, I523, I524, I525, I526) [I518 <= I509 /\ -1 <= I527 - 1 /\ I518 - 1 <= I510 /\ I519 <= I510 /\ 0 <= I509 - 1 /\ -1 <= I510 - 1 /\ 0 <= I518 - 1 /\ -1 <= I519 - 1 /\ 0 = I511] 62.76/61.84 f7#(I528, I529, I530, I531, I532, I533, I534, I535, I536) -> f10#(I537, I538, I539, I540, I530, I541, I542, I543, I544) [I545 <= I546 - 1 /\ -1 <= I545 - 1 /\ -1 <= I539 - 1 /\ I537 <= I528 /\ I537 + 1 <= I529 /\ I538 <= I529 /\ 0 <= I528 - 1 /\ 1 <= I529 - 1 /\ 0 <= I537 - 1 /\ 1 <= I538 - 1 /\ I530 + 2 <= I529 /\ I545 + 1 = I540] 62.76/61.84 f7#(I547, I548, I549, I550, I551, I552, I553, I554, I555) -> f10#(I556, I557, 0, I558, I549, I559, I560, I561, I562) [I563 <= I564 - 1 /\ -1 <= I563 - 1 /\ I556 <= I547 /\ I556 + 1 <= I548 /\ I557 <= I548 /\ 0 <= I547 - 1 /\ 1 <= I548 - 1 /\ 0 <= I556 - 1 /\ 1 <= I557 - 1 /\ I549 + 2 <= I548 /\ I563 + 1 = I558] 62.76/61.84 f7#(I565, I566, I567, I568, I569, I570, I571, I572, I573) -> f9#(I574, 0, I575, I576, I577, I578, I579, I580, I581) [I574 <= I566 /\ I582 <= I583 /\ 0 <= I565 - 1 /\ 1 <= I566 - 1 /\ 1 <= I574 - 1 /\ I567 + 2 <= I566] 62.76/61.84 f4#(I584, I585, I586, I587, I588, I589, I590, I591, I592) -> f8#(I593, I594, I595, I596, I597, I598, I599, I600, I601) [I602 <= I603 - 1 /\ -1 <= I602 - 1 /\ 0 <= I603 - 1 /\ -1 <= I595 - 1 /\ I602 + 1 <= I603 /\ I593 <= I584 /\ I593 <= I585 /\ 0 <= I584 - 1 /\ 0 <= I585 - 1 /\ 0 <= I593 - 1 /\ 1 <= I594 - 1 /\ I602 + 1 = I596] 62.76/61.84 f6#(I604, I605, I606, I607, I608, I609, I610, I611, I612) -> f7#(I613, I614, I615, I616, I617, I618, I619, I620, I621) [I622 <= I606 /\ -1 <= I622 - 1 /\ I613 <= I604 /\ I613 <= I605 /\ 0 <= I604 - 1 /\ 0 <= I605 - 1 /\ 0 <= I613 - 1 /\ 1 <= I614 - 1] 62.76/61.84 f4#(I623, I624, I625, I626, I627, I628, I629, I630, I631) -> f6#(I632, I633, I634, I635, I636, I637, I638, I639, I640) [I641 <= I642 - 1 /\ -1 <= I641 - 1 /\ I632 <= I623 /\ I632 - 1 <= I624 /\ I633 <= I624 /\ 0 <= I623 - 1 /\ -1 <= I624 - 1 /\ 0 <= I632 - 1 /\ -1 <= I633 - 1 /\ I641 + 1 = I634] 62.76/61.84 f4#(I643, I644, I645, I646, I647, I648, I649, I650, I651) -> f6#(I652, I653, I654, I655, I656, I657, I658, I659, I660) [I652 <= I643 /\ I661 <= I654 /\ I652 - 1 <= I644 /\ I653 <= I644 /\ 0 <= I643 - 1 /\ -1 <= I644 - 1 /\ 0 <= I652 - 1 /\ -1 <= I653 - 1] 62.76/61.84 f5#(I662, I663, I664, I665, I666, I667, I668, I669, I670) -> f4#(I671, I672, I673, I674, I675, I676, I677, I678, I679) [I671 <= I662 /\ -1 <= I680 - 1 /\ I672 + 1 <= I662 /\ 0 <= I662 - 1 /\ 0 <= I671 - 1 /\ -1 <= I672 - 1] 62.76/61.84 f3#(I681, I682, I683, I684, I685, I686, I687, I688, I689) -> f4#(I690, I691, I692, I693, I694, I695, I696, I697, I698) [-1 <= I691 - 1 /\ 0 <= I690 - 1 /\ 0 <= I681 - 1 /\ -1 <= I682 - 1 /\ I690 <= I681] 62.76/61.84 f1#(I699, I700, I701, I702, I703, I704, I705, I706, I707) -> f2#(I708, I700, I709, I710, I703, I711, I704, I712, I705) [I705 + 2 <= I702 /\ I712 + 2 <= I701 /\ I704 + 4 <= I699 /\ I711 + 4 <= I699 /\ 2 <= I710 - 1 /\ 0 <= I709 - 1 /\ 4 <= I708 - 1 /\ 2 <= I702 - 1 /\ 0 <= I701 - 1 /\ 4 <= I699 - 1 /\ I710 <= I702 /\ I709 <= I701 /\ I708 <= I699] 62.76/61.84 R = 62.76/61.84 init(x1, x2, x3, x4, x5, x6, x7, x8, x9) -> f3(rnd1, rnd2, rnd3, rnd4, rnd5, rnd6, rnd7, rnd8, rnd9) 62.76/61.84 f2(I0, I1, I2, I3, I4, I5, I6, I7, I8) -> f9(I9, I1 - 1, I10, I11, I12, I13, I14, I15, I16) [I8 + 2 <= I3 /\ I7 + 2 <= I2 /\ I6 + 4 <= I0 /\ I5 + 4 <= I0 /\ 4 <= I9 - 1 /\ 2 <= I3 - 1 /\ 0 <= I2 - 1 /\ 4 <= I0 - 1 /\ 0 <= I1 - 1 /\ I1 - 1 <= I1 - 1] 62.76/61.84 f19(I17, I18, I19, I20, I21, I22, I23, I24, I25) -> f9(I26, I18, I27, I28, I29, I30, I31, I32, I33) [0 <= I17 - 1 /\ 2 <= I26 - 1 /\ I18 <= I17 - 1] 62.76/61.84 f2(I34, I35, I36, I37, I38, I39, I40, I41, I42) -> f9(I43, I35 - 1, I44, I45, I46, I47, I48, I49, I50) [I41 = I42 /\ I39 = I40 /\ I41 + 2 <= I37 /\ I41 + 2 <= I36 /\ I39 + 4 <= I34 /\ 4 <= I43 - 1 /\ 2 <= I37 - 1 /\ 2 <= I36 - 1 /\ 4 <= I34 - 1 /\ I43 - 2 <= I37 /\ I43 - 2 <= I36 /\ I43 <= I34 /\ I35 - 1 <= I35 - 1 /\ 0 <= I35 - 1] 62.76/61.84 f18(I51, I52, I53, I54, I55, I56, I57, I58, I59) -> f9(I60, I51 - 1, I61, I62, I63, I64, I65, I66, I67) [4 <= I60 - 1 /\ 2 <= I53 - 1 /\ 0 <= I52 - 1 /\ I51 - 1 <= I51 - 1 /\ 0 <= I51 - 1] 62.76/61.84 f18(I68, I69, I70, I71, I72, I73, I74, I75, I76) -> f19(I68, I68 - 1, I71, I77, I78, I79, I80, I81, I82) [2 <= I70 - 1 /\ 0 <= I68 - 1 /\ 2 <= I69 - 1] 62.76/61.84 f1(I83, I84, I85, I86, I87, I88, I89, I90, I91) -> f19(I84, I84 - 1, I87, I92, I93, I94, I95, I96, I97) [I89 + 2 <= I86 /\ I88 + 4 <= I85 /\ I88 + 4 <= I83 /\ 4 <= I86 - 1 /\ 4 <= I85 - 1 /\ 0 <= I84 - 1 /\ 4 <= I83 - 1] 62.76/61.84 f17(I98, I99, I100, I101, I102, I103, I104, I105, I106) -> f19(I99, I99 - 1, I101, I107, I108, I109, I110, I111, I112) [2 <= I100 - 1 /\ 0 <= I99 - 1 /\ 2 <= I98 - 1] 62.76/61.84 f17(I113, I114, I115, I116, I117, I118, I119, I120, I121) -> f9(I122, I114 - 1, I123, I124, I125, I126, I127, I128, I129) [4 <= I122 - 1 /\ 0 <= I115 - 1 /\ 2 <= I113 - 1 /\ I114 - 1 <= I114 - 1 /\ 0 <= I114 - 1] 62.76/61.84 f16(I130, I131, I132, I133, I134, I135, I136, I137, I138) -> f18(I131, I139, I140, I133, I141, I142, I143, I144, I145) [I134 + 3 <= I132 /\ I134 + 3 <= I130 /\ 2 <= I140 - 1 /\ 0 <= I139 - 1 /\ 2 <= I132 - 1 /\ 2 <= I130 - 1] 62.76/61.85 f16(I146, I147, I148, I149, I150, I151, I152, I153, I154) -> f1(I155, I147, I156, I157, I149, I158, I159, I160, I161) [I150 + 3 <= I146 /\ 2 <= I157 - 1 /\ 0 <= I156 - 1 /\ 4 <= I155 - 1 /\ 0 <= I148 - 1 /\ 2 <= I146 - 1] 62.76/61.85 f9(I162, I163, I164, I165, I166, I167, I168, I169, I170) -> f17(I171, I163, I172, I173, I174, I175, I176, I177, I178) [0 <= I172 - 1 /\ 2 <= I171 - 1 /\ 2 <= I162 - 1 /\ 0 <= I163 - 1 /\ I171 <= I162] 62.76/61.85 f9(I179, I180, I181, I182, I183, I184, I185, I186, I187) -> f16(I188, I180, I189, I190, I191, I192, I193, I194, I195) [I191 + 3 <= I179 /\ 0 <= I189 - 1 /\ 2 <= I188 - 1 /\ 2 <= I179 - 1 /\ 0 <= I180 - 1 /\ I188 <= I179] 62.76/61.85 f15(I196, I197, I198, I199, I200, I201, I202, I203, I204) -> f15(I205, I206, I207, I208, I209, I210, I211, I212, I213) [I198 + 2 <= I196 /\ -1 <= I206 - 1 /\ 0 <= I205 - 1 /\ 0 <= I197 - 1 /\ 2 <= I196 - 1] 62.76/61.85 f4(I214, I215, I216, I217, I218, I219, I220, I221, I222) -> f15(I223, I224, I225, I226, I227, I228, I229, I230, I231) [y2 <= y1 - 1 /\ -1 <= y2 - 1 /\ 0 <= y1 - 1 /\ -1 <= y3 - 1 /\ y2 + 1 <= y1 /\ I223 <= I215 /\ 0 <= I214 - 1 /\ 0 <= I215 - 1 /\ 0 <= I223 - 1 /\ -1 <= I224 - 1 /\ I225 + 2 <= I215] 62.76/61.85 f6(I232, I233, I234, I235, I236, I237, I238, I239, I240) -> f15(I241, I242, I243, I244, I245, I246, I247, I248, I249) [I241 <= I233 /\ I250 <= I234 /\ 0 <= I232 - 1 /\ 0 <= I233 - 1 /\ 0 <= I241 - 1 /\ -1 <= I242 - 1 /\ I243 + 2 <= I233] 62.76/61.85 f14(I251, I252, I253, I254, I255, I256, I257, I258, I259) -> f13(I260, I253 + 1, I251, I255, I256, I261, I262, I263, I264) [4 <= I260 - 1 /\ 0 <= I254 - 1 /\ 2 <= I252 - 1] 62.76/61.85 f14(I265, I266, I267, I268, I269, I270, I271, I272, I273) -> f13(I274, I267 + 1, I265, I269, I270, I275, I276, I277, I278) [1 <= I274 - 1 /\ -1 <= I268 - 1 /\ 1 <= I266 - 1 /\ I274 - 2 <= I268 /\ I274 <= I266] 62.76/61.85 f13(I279, I280, I281, I282, I283, I284, I285, I286, I287) -> f14(I281, I288, I280, I289, I282, I283 + 1, I290, I291, I292) [I280 <= I281 - 1 /\ -1 <= I282 - 1 /\ I283 <= I282 - 1 /\ -1 <= I283 - 1 /\ -1 <= I293 - 1 /\ I289 <= I279 /\ -1 <= I279 - 1 /\ 1 <= I288 - 1 /\ -1 <= I289 - 1] 62.76/61.85 f13(I294, I295, I296, I297, I298, I299, I300, I301, I302) -> f14(I296, I303, I295, I304, I297, I298 + 1, I305, I306, I307) [-1 <= I304 - 1 /\ 1 <= I303 - 1 /\ -1 <= I294 - 1 /\ I304 <= I294 /\ -1 <= I298 - 1 /\ I298 <= I297 - 1 /\ -1 <= I297 - 1 /\ I295 <= I296 - 1] 62.76/61.85 f13(I308, I309, I310, I311, I312, I313, I314, I315, I316) -> f13(I317, I309 + 1, I310, I311, I312, I318, I319, I320, I321) [4 <= I317 - 1 /\ 0 <= I308 - 1 /\ I309 <= I310 - 1 /\ -1 <= I311 - 1 /\ I311 <= I312] 62.76/61.85 f13(I322, I323, I324, I325, I326, I327, I328, I329, I330) -> f13(I331, I323 + 1, I324, I325, I326, I332, I333, I334, I335) [1 <= I331 - 1 /\ -1 <= I322 - 1 /\ I331 - 2 <= I322 /\ I323 <= I324 - 1 /\ -1 <= I325 - 1 /\ I325 <= I326] 62.76/61.85 f3(I336, I337, I338, I339, I340, I341, I342, I343, I344) -> f13(I345, 0, I346, I337, 1, I347, I348, I349, I350) [-1 <= I345 - 1 /\ 0 <= I336 - 1 /\ I345 + 1 <= I336 /\ 0 <= I337 - 1 /\ -1 <= I346 - 1] 62.76/61.85 f3(I351, I352, I353, I354, I355, I356, I357, I358, I359) -> f13(I360, 0, 0, I352, 1, I361, I362, I363, I364) [-1 <= I360 - 1 /\ 0 <= I351 - 1 /\ 0 <= I352 - 1 /\ I360 + 1 <= I351] 62.76/61.85 f3(I365, I366, I367, I368, I369, I370, I371, I372, I373) -> f13(I374, 0, 0, 0, 0, I375, I376, I377, I378) [0 = I366 /\ -1 <= I374 - 1 /\ 0 <= I365 - 1 /\ I374 + 1 <= I365] 62.76/61.85 f11(I379, I380, I381, I382, I383, I384, I385, I386, I387) -> f9(I388, I389, I390, I391, I392, I393, I394, I395, I396) [I397 <= I398 - 1 /\ 0 <= I397 - 1 /\ 1 <= I398 - 1 /\ -1 <= I389 - 1 /\ I397 + 1 <= I398 /\ I388 <= I380 /\ 0 <= I379 - 1 /\ 0 <= I380 - 1 /\ 0 <= I388 - 1] 62.76/61.85 f11(I399, I400, I401, I402, I403, I404, I405, I406, I407) -> f12(I408, I409, I410, I411, I412, I413, I414, I415, I416) [I417 <= I418 - 1 /\ 0 <= I417 - 1 /\ I408 <= I399 /\ I408 - 1 <= I400 /\ I409 <= I400 /\ 0 <= I399 - 1 /\ -1 <= I400 - 1 /\ 0 <= I408 - 1 /\ -1 <= I409 - 1 /\ I417 + 1 = I410] 62.76/61.85 f12(I419, I420, I421, I422, I423, I424, I425, I426, I427) -> f9(I428, 0, I429, I430, I431, I432, I433, I434, I435) [I436 <= I421 /\ 0 <= I436 - 1 /\ 0 <= I421 - 1 /\ I428 <= I420 /\ 0 <= I419 - 1 /\ 0 <= I420 - 1 /\ 0 <= I428 - 1] 62.76/61.85 f8(I437, I438, I439, I440, I441, I442, I443, I444, I445) -> f11(I446, I447, I448, I449, I450, I451, I452, I453, I454) [-1 <= I455 - 1 /\ 0 <= I439 - 1 /\ I446 <= I437 /\ I446 - 1 <= I438 /\ I447 + 1 <= I437 /\ I447 <= I438 /\ 0 <= I437 - 1 /\ -1 <= I438 - 1 /\ 0 <= I446 - 1 /\ -1 <= I447 - 1] 62.76/61.85 f11(I456, I457, I458, I459, I460, I461, I462, I463, I464) -> f12(I465, I466, I467, I468, I469, I470, I471, I472, I473) [I465 <= I456 /\ I474 <= I467 /\ I465 - 1 <= I457 /\ I466 <= I457 /\ 0 <= I456 - 1 /\ -1 <= I457 - 1 /\ 0 <= I465 - 1 /\ -1 <= I466 - 1] 62.76/61.85 f8(I475, I476, I477, I478, I479, I480, I481, I482, I483) -> f8(I484, I485, I477, I478, I486, I487, I488, I489, I490) [-1 <= I485 - 1 /\ 0 <= I484 - 1 /\ 0 <= I476 - 1 /\ 0 <= I475 - 1 /\ I484 <= I476 /\ 0 <= I477 - 1 /\ I484 <= I475] 62.76/61.85 f10(I491, I492, I493, I494, I495, I496, I497, I498, I499) -> f9(I500, I493, I501, I502, I503, I504, I505, I506, I507) [I494 <= I508 /\ 0 <= I508 - 1 /\ 0 <= I494 - 1 /\ I500 <= I492 /\ 0 <= I491 - 1 /\ 1 <= I492 - 1 /\ 1 <= I500 - 1 /\ I495 + 2 <= I492] 62.76/61.85 f8(I509, I510, I511, I512, I513, I514, I515, I516, I517) -> f11(I518, I519, I520, I521, I522, I523, I524, I525, I526) [I518 <= I509 /\ -1 <= I527 - 1 /\ I518 - 1 <= I510 /\ I519 <= I510 /\ 0 <= I509 - 1 /\ -1 <= I510 - 1 /\ 0 <= I518 - 1 /\ -1 <= I519 - 1 /\ 0 = I511] 62.76/61.85 f7(I528, I529, I530, I531, I532, I533, I534, I535, I536) -> f10(I537, I538, I539, I540, I530, I541, I542, I543, I544) [I545 <= I546 - 1 /\ -1 <= I545 - 1 /\ -1 <= I539 - 1 /\ I537 <= I528 /\ I537 + 1 <= I529 /\ I538 <= I529 /\ 0 <= I528 - 1 /\ 1 <= I529 - 1 /\ 0 <= I537 - 1 /\ 1 <= I538 - 1 /\ I530 + 2 <= I529 /\ I545 + 1 = I540] 62.76/61.85 f7(I547, I548, I549, I550, I551, I552, I553, I554, I555) -> f10(I556, I557, 0, I558, I549, I559, I560, I561, I562) [I563 <= I564 - 1 /\ -1 <= I563 - 1 /\ I556 <= I547 /\ I556 + 1 <= I548 /\ I557 <= I548 /\ 0 <= I547 - 1 /\ 1 <= I548 - 1 /\ 0 <= I556 - 1 /\ 1 <= I557 - 1 /\ I549 + 2 <= I548 /\ I563 + 1 = I558] 62.76/61.85 f7(I565, I566, I567, I568, I569, I570, I571, I572, I573) -> f9(I574, 0, I575, I576, I577, I578, I579, I580, I581) [I574 <= I566 /\ I582 <= I583 /\ 0 <= I565 - 1 /\ 1 <= I566 - 1 /\ 1 <= I574 - 1 /\ I567 + 2 <= I566] 62.76/61.85 f4(I584, I585, I586, I587, I588, I589, I590, I591, I592) -> f8(I593, I594, I595, I596, I597, I598, I599, I600, I601) [I602 <= I603 - 1 /\ -1 <= I602 - 1 /\ 0 <= I603 - 1 /\ -1 <= I595 - 1 /\ I602 + 1 <= I603 /\ I593 <= I584 /\ I593 <= I585 /\ 0 <= I584 - 1 /\ 0 <= I585 - 1 /\ 0 <= I593 - 1 /\ 1 <= I594 - 1 /\ I602 + 1 = I596] 62.76/61.85 f6(I604, I605, I606, I607, I608, I609, I610, I611, I612) -> f7(I613, I614, I615, I616, I617, I618, I619, I620, I621) [I622 <= I606 /\ -1 <= I622 - 1 /\ I613 <= I604 /\ I613 <= I605 /\ 0 <= I604 - 1 /\ 0 <= I605 - 1 /\ 0 <= I613 - 1 /\ 1 <= I614 - 1] 62.76/61.85 f4(I623, I624, I625, I626, I627, I628, I629, I630, I631) -> f6(I632, I633, I634, I635, I636, I637, I638, I639, I640) [I641 <= I642 - 1 /\ -1 <= I641 - 1 /\ I632 <= I623 /\ I632 - 1 <= I624 /\ I633 <= I624 /\ 0 <= I623 - 1 /\ -1 <= I624 - 1 /\ 0 <= I632 - 1 /\ -1 <= I633 - 1 /\ I641 + 1 = I634] 62.76/61.85 f4(I643, I644, I645, I646, I647, I648, I649, I650, I651) -> f6(I652, I653, I654, I655, I656, I657, I658, I659, I660) [I652 <= I643 /\ I661 <= I654 /\ I652 - 1 <= I644 /\ I653 <= I644 /\ 0 <= I643 - 1 /\ -1 <= I644 - 1 /\ 0 <= I652 - 1 /\ -1 <= I653 - 1] 62.76/61.85 f5(I662, I663, I664, I665, I666, I667, I668, I669, I670) -> f4(I671, I672, I673, I674, I675, I676, I677, I678, I679) [I671 <= I662 /\ -1 <= I680 - 1 /\ I672 + 1 <= I662 /\ 0 <= I662 - 1 /\ 0 <= I671 - 1 /\ -1 <= I672 - 1] 62.76/61.85 f3(I681, I682, I683, I684, I685, I686, I687, I688, I689) -> f4(I690, I691, I692, I693, I694, I695, I696, I697, I698) [-1 <= I691 - 1 /\ 0 <= I690 - 1 /\ 0 <= I681 - 1 /\ -1 <= I682 - 1 /\ I690 <= I681] 62.76/61.85 f1(I699, I700, I701, I702, I703, I704, I705, I706, I707) -> f2(I708, I700, I709, I710, I703, I711, I704, I712, I705) [I705 + 2 <= I702 /\ I712 + 2 <= I701 /\ I704 + 4 <= I699 /\ I711 + 4 <= I699 /\ 2 <= I710 - 1 /\ 0 <= I709 - 1 /\ 4 <= I708 - 1 /\ 2 <= I702 - 1 /\ 0 <= I701 - 1 /\ 4 <= I699 - 1 /\ I710 <= I702 /\ I709 <= I701 /\ I708 <= I699] 62.76/61.85 62.76/61.85 The dependency graph for this problem is: 62.76/61.85 0 -> 22, 23, 24, 41 62.76/61.85 1 -> 11, 12 62.76/61.85 2 -> 11, 12 62.76/61.85 3 -> 11, 12 62.76/61.85 4 -> 11, 12 62.76/61.85 5 -> 2 62.76/61.85 6 -> 2 62.76/61.85 7 -> 2 62.76/61.85 8 -> 11, 12 62.76/61.85 9 -> 4, 5 62.76/61.85 10 -> 6, 42 62.76/61.85 11 -> 7, 8 62.76/61.85 12 -> 9, 10 62.76/61.85 13 -> 13 62.76/61.85 14 -> 13 62.76/61.85 15 -> 13 62.76/61.85 16 -> 18, 19, 20, 21 62.76/61.85 17 -> 18, 19, 20, 21 62.76/61.85 18 -> 16, 17 62.76/61.85 19 -> 16, 17 62.76/61.85 20 -> 20, 21 62.76/61.85 21 -> 20, 21 62.76/61.85 22 -> 18, 19, 20, 21 62.76/61.85 23 -> 62.76/61.85 24 -> 62.76/61.85 25 -> 11, 12 62.76/61.85 26 -> 27 62.76/61.85 27 -> 62.76/61.85 28 -> 25, 26, 29 62.76/61.85 29 -> 27 62.76/61.85 30 -> 28, 30 62.76/61.85 31 -> 11, 12 62.76/61.85 32 -> 25, 26, 29 62.76/61.85 33 -> 31 62.76/61.85 34 -> 31 62.76/61.85 35 -> 62.76/61.85 36 -> 28, 30, 32 62.76/61.85 37 -> 33, 34, 35 62.76/61.85 38 -> 15, 37 62.76/61.85 39 -> 15, 37 62.76/61.85 40 -> 14, 36, 38, 39 62.76/61.85 41 -> 14, 36, 38, 39 62.76/61.85 42 -> 1, 3 62.76/61.85 Where: 62.76/61.85 0) init#(x1, x2, x3, x4, x5, x6, x7, x8, x9) -> f3#(rnd1, rnd2, rnd3, rnd4, rnd5, rnd6, rnd7, rnd8, rnd9) 62.76/61.85 1) f2#(I0, I1, I2, I3, I4, I5, I6, I7, I8) -> f9#(I9, I1 - 1, I10, I11, I12, I13, I14, I15, I16) [I8 + 2 <= I3 /\ I7 + 2 <= I2 /\ I6 + 4 <= I0 /\ I5 + 4 <= I0 /\ 4 <= I9 - 1 /\ 2 <= I3 - 1 /\ 0 <= I2 - 1 /\ 4 <= I0 - 1 /\ 0 <= I1 - 1 /\ I1 - 1 <= I1 - 1] 62.76/61.85 2) f19#(I17, I18, I19, I20, I21, I22, I23, I24, I25) -> f9#(I26, I18, I27, I28, I29, I30, I31, I32, I33) [0 <= I17 - 1 /\ 2 <= I26 - 1 /\ I18 <= I17 - 1] 62.76/61.85 3) f2#(I34, I35, I36, I37, I38, I39, I40, I41, I42) -> f9#(I43, I35 - 1, I44, I45, I46, I47, I48, I49, I50) [I41 = I42 /\ I39 = I40 /\ I41 + 2 <= I37 /\ I41 + 2 <= I36 /\ I39 + 4 <= I34 /\ 4 <= I43 - 1 /\ 2 <= I37 - 1 /\ 2 <= I36 - 1 /\ 4 <= I34 - 1 /\ I43 - 2 <= I37 /\ I43 - 2 <= I36 /\ I43 <= I34 /\ I35 - 1 <= I35 - 1 /\ 0 <= I35 - 1] 62.76/61.85 4) f18#(I51, I52, I53, I54, I55, I56, I57, I58, I59) -> f9#(I60, I51 - 1, I61, I62, I63, I64, I65, I66, I67) [4 <= I60 - 1 /\ 2 <= I53 - 1 /\ 0 <= I52 - 1 /\ I51 - 1 <= I51 - 1 /\ 0 <= I51 - 1] 62.76/61.85 5) f18#(I68, I69, I70, I71, I72, I73, I74, I75, I76) -> f19#(I68, I68 - 1, I71, I77, I78, I79, I80, I81, I82) [2 <= I70 - 1 /\ 0 <= I68 - 1 /\ 2 <= I69 - 1] 62.76/61.85 6) f1#(I83, I84, I85, I86, I87, I88, I89, I90, I91) -> f19#(I84, I84 - 1, I87, I92, I93, I94, I95, I96, I97) [I89 + 2 <= I86 /\ I88 + 4 <= I85 /\ I88 + 4 <= I83 /\ 4 <= I86 - 1 /\ 4 <= I85 - 1 /\ 0 <= I84 - 1 /\ 4 <= I83 - 1] 62.76/61.85 7) f17#(I98, I99, I100, I101, I102, I103, I104, I105, I106) -> f19#(I99, I99 - 1, I101, I107, I108, I109, I110, I111, I112) [2 <= I100 - 1 /\ 0 <= I99 - 1 /\ 2 <= I98 - 1] 62.76/61.85 8) f17#(I113, I114, I115, I116, I117, I118, I119, I120, I121) -> f9#(I122, I114 - 1, I123, I124, I125, I126, I127, I128, I129) [4 <= I122 - 1 /\ 0 <= I115 - 1 /\ 2 <= I113 - 1 /\ I114 - 1 <= I114 - 1 /\ 0 <= I114 - 1] 62.76/61.85 9) f16#(I130, I131, I132, I133, I134, I135, I136, I137, I138) -> f18#(I131, I139, I140, I133, I141, I142, I143, I144, I145) [I134 + 3 <= I132 /\ I134 + 3 <= I130 /\ 2 <= I140 - 1 /\ 0 <= I139 - 1 /\ 2 <= I132 - 1 /\ 2 <= I130 - 1] 62.76/61.85 10) f16#(I146, I147, I148, I149, I150, I151, I152, I153, I154) -> f1#(I155, I147, I156, I157, I149, I158, I159, I160, I161) [I150 + 3 <= I146 /\ 2 <= I157 - 1 /\ 0 <= I156 - 1 /\ 4 <= I155 - 1 /\ 0 <= I148 - 1 /\ 2 <= I146 - 1] 62.76/61.85 11) f9#(I162, I163, I164, I165, I166, I167, I168, I169, I170) -> f17#(I171, I163, I172, I173, I174, I175, I176, I177, I178) [0 <= I172 - 1 /\ 2 <= I171 - 1 /\ 2 <= I162 - 1 /\ 0 <= I163 - 1 /\ I171 <= I162] 62.76/61.85 12) f9#(I179, I180, I181, I182, I183, I184, I185, I186, I187) -> f16#(I188, I180, I189, I190, I191, I192, I193, I194, I195) [I191 + 3 <= I179 /\ 0 <= I189 - 1 /\ 2 <= I188 - 1 /\ 2 <= I179 - 1 /\ 0 <= I180 - 1 /\ I188 <= I179] 62.76/61.85 13) f15#(I196, I197, I198, I199, I200, I201, I202, I203, I204) -> f15#(I205, I206, I207, I208, I209, I210, I211, I212, I213) [I198 + 2 <= I196 /\ -1 <= I206 - 1 /\ 0 <= I205 - 1 /\ 0 <= I197 - 1 /\ 2 <= I196 - 1] 62.76/61.85 14) f4#(I214, I215, I216, I217, I218, I219, I220, I221, I222) -> f15#(I223, I224, I225, I226, I227, I228, I229, I230, I231) [y2 <= y1 - 1 /\ -1 <= y2 - 1 /\ 0 <= y1 - 1 /\ -1 <= y3 - 1 /\ y2 + 1 <= y1 /\ I223 <= I215 /\ 0 <= I214 - 1 /\ 0 <= I215 - 1 /\ 0 <= I223 - 1 /\ -1 <= I224 - 1 /\ I225 + 2 <= I215] 62.76/61.85 15) f6#(I232, I233, I234, I235, I236, I237, I238, I239, I240) -> f15#(I241, I242, I243, I244, I245, I246, I247, I248, I249) [I241 <= I233 /\ I250 <= I234 /\ 0 <= I232 - 1 /\ 0 <= I233 - 1 /\ 0 <= I241 - 1 /\ -1 <= I242 - 1 /\ I243 + 2 <= I233] 62.76/61.85 16) f14#(I251, I252, I253, I254, I255, I256, I257, I258, I259) -> f13#(I260, I253 + 1, I251, I255, I256, I261, I262, I263, I264) [4 <= I260 - 1 /\ 0 <= I254 - 1 /\ 2 <= I252 - 1] 62.76/61.85 17) f14#(I265, I266, I267, I268, I269, I270, I271, I272, I273) -> f13#(I274, I267 + 1, I265, I269, I270, I275, I276, I277, I278) [1 <= I274 - 1 /\ -1 <= I268 - 1 /\ 1 <= I266 - 1 /\ I274 - 2 <= I268 /\ I274 <= I266] 62.76/61.85 18) f13#(I279, I280, I281, I282, I283, I284, I285, I286, I287) -> f14#(I281, I288, I280, I289, I282, I283 + 1, I290, I291, I292) [I280 <= I281 - 1 /\ -1 <= I282 - 1 /\ I283 <= I282 - 1 /\ -1 <= I283 - 1 /\ -1 <= I293 - 1 /\ I289 <= I279 /\ -1 <= I279 - 1 /\ 1 <= I288 - 1 /\ -1 <= I289 - 1] 62.76/61.85 19) f13#(I294, I295, I296, I297, I298, I299, I300, I301, I302) -> f14#(I296, I303, I295, I304, I297, I298 + 1, I305, I306, I307) [-1 <= I304 - 1 /\ 1 <= I303 - 1 /\ -1 <= I294 - 1 /\ I304 <= I294 /\ -1 <= I298 - 1 /\ I298 <= I297 - 1 /\ -1 <= I297 - 1 /\ I295 <= I296 - 1] 62.76/61.85 20) f13#(I308, I309, I310, I311, I312, I313, I314, I315, I316) -> f13#(I317, I309 + 1, I310, I311, I312, I318, I319, I320, I321) [4 <= I317 - 1 /\ 0 <= I308 - 1 /\ I309 <= I310 - 1 /\ -1 <= I311 - 1 /\ I311 <= I312] 62.76/61.85 21) f13#(I322, I323, I324, I325, I326, I327, I328, I329, I330) -> f13#(I331, I323 + 1, I324, I325, I326, I332, I333, I334, I335) [1 <= I331 - 1 /\ -1 <= I322 - 1 /\ I331 - 2 <= I322 /\ I323 <= I324 - 1 /\ -1 <= I325 - 1 /\ I325 <= I326] 62.76/61.85 22) f3#(I336, I337, I338, I339, I340, I341, I342, I343, I344) -> f13#(I345, 0, I346, I337, 1, I347, I348, I349, I350) [-1 <= I345 - 1 /\ 0 <= I336 - 1 /\ I345 + 1 <= I336 /\ 0 <= I337 - 1 /\ -1 <= I346 - 1] 62.76/61.85 23) f3#(I351, I352, I353, I354, I355, I356, I357, I358, I359) -> f13#(I360, 0, 0, I352, 1, I361, I362, I363, I364) [-1 <= I360 - 1 /\ 0 <= I351 - 1 /\ 0 <= I352 - 1 /\ I360 + 1 <= I351] 62.76/61.85 24) f3#(I365, I366, I367, I368, I369, I370, I371, I372, I373) -> f13#(I374, 0, 0, 0, 0, I375, I376, I377, I378) [0 = I366 /\ -1 <= I374 - 1 /\ 0 <= I365 - 1 /\ I374 + 1 <= I365] 62.76/61.85 25) f11#(I379, I380, I381, I382, I383, I384, I385, I386, I387) -> f9#(I388, I389, I390, I391, I392, I393, I394, I395, I396) [I397 <= I398 - 1 /\ 0 <= I397 - 1 /\ 1 <= I398 - 1 /\ -1 <= I389 - 1 /\ I397 + 1 <= I398 /\ I388 <= I380 /\ 0 <= I379 - 1 /\ 0 <= I380 - 1 /\ 0 <= I388 - 1] 62.76/61.85 26) f11#(I399, I400, I401, I402, I403, I404, I405, I406, I407) -> f12#(I408, I409, I410, I411, I412, I413, I414, I415, I416) [I417 <= I418 - 1 /\ 0 <= I417 - 1 /\ I408 <= I399 /\ I408 - 1 <= I400 /\ I409 <= I400 /\ 0 <= I399 - 1 /\ -1 <= I400 - 1 /\ 0 <= I408 - 1 /\ -1 <= I409 - 1 /\ I417 + 1 = I410] 62.76/61.85 27) f12#(I419, I420, I421, I422, I423, I424, I425, I426, I427) -> f9#(I428, 0, I429, I430, I431, I432, I433, I434, I435) [I436 <= I421 /\ 0 <= I436 - 1 /\ 0 <= I421 - 1 /\ I428 <= I420 /\ 0 <= I419 - 1 /\ 0 <= I420 - 1 /\ 0 <= I428 - 1] 62.76/61.85 28) f8#(I437, I438, I439, I440, I441, I442, I443, I444, I445) -> f11#(I446, I447, I448, I449, I450, I451, I452, I453, I454) [-1 <= I455 - 1 /\ 0 <= I439 - 1 /\ I446 <= I437 /\ I446 - 1 <= I438 /\ I447 + 1 <= I437 /\ I447 <= I438 /\ 0 <= I437 - 1 /\ -1 <= I438 - 1 /\ 0 <= I446 - 1 /\ -1 <= I447 - 1] 62.76/61.85 29) f11#(I456, I457, I458, I459, I460, I461, I462, I463, I464) -> f12#(I465, I466, I467, I468, I469, I470, I471, I472, I473) [I465 <= I456 /\ I474 <= I467 /\ I465 - 1 <= I457 /\ I466 <= I457 /\ 0 <= I456 - 1 /\ -1 <= I457 - 1 /\ 0 <= I465 - 1 /\ -1 <= I466 - 1] 62.76/61.85 30) f8#(I475, I476, I477, I478, I479, I480, I481, I482, I483) -> f8#(I484, I485, I477, I478, I486, I487, I488, I489, I490) [-1 <= I485 - 1 /\ 0 <= I484 - 1 /\ 0 <= I476 - 1 /\ 0 <= I475 - 1 /\ I484 <= I476 /\ 0 <= I477 - 1 /\ I484 <= I475] 62.76/61.85 31) f10#(I491, I492, I493, I494, I495, I496, I497, I498, I499) -> f9#(I500, I493, I501, I502, I503, I504, I505, I506, I507) [I494 <= I508 /\ 0 <= I508 - 1 /\ 0 <= I494 - 1 /\ I500 <= I492 /\ 0 <= I491 - 1 /\ 1 <= I492 - 1 /\ 1 <= I500 - 1 /\ I495 + 2 <= I492] 62.76/61.85 32) f8#(I509, I510, I511, I512, I513, I514, I515, I516, I517) -> f11#(I518, I519, I520, I521, I522, I523, I524, I525, I526) [I518 <= I509 /\ -1 <= I527 - 1 /\ I518 - 1 <= I510 /\ I519 <= I510 /\ 0 <= I509 - 1 /\ -1 <= I510 - 1 /\ 0 <= I518 - 1 /\ -1 <= I519 - 1 /\ 0 = I511] 62.76/61.85 33) f7#(I528, I529, I530, I531, I532, I533, I534, I535, I536) -> f10#(I537, I538, I539, I540, I530, I541, I542, I543, I544) [I545 <= I546 - 1 /\ -1 <= I545 - 1 /\ -1 <= I539 - 1 /\ I537 <= I528 /\ I537 + 1 <= I529 /\ I538 <= I529 /\ 0 <= I528 - 1 /\ 1 <= I529 - 1 /\ 0 <= I537 - 1 /\ 1 <= I538 - 1 /\ I530 + 2 <= I529 /\ I545 + 1 = I540] 62.76/61.85 34) f7#(I547, I548, I549, I550, I551, I552, I553, I554, I555) -> f10#(I556, I557, 0, I558, I549, I559, I560, I561, I562) [I563 <= I564 - 1 /\ -1 <= I563 - 1 /\ I556 <= I547 /\ I556 + 1 <= I548 /\ I557 <= I548 /\ 0 <= I547 - 1 /\ 1 <= I548 - 1 /\ 0 <= I556 - 1 /\ 1 <= I557 - 1 /\ I549 + 2 <= I548 /\ I563 + 1 = I558] 62.76/61.85 35) f7#(I565, I566, I567, I568, I569, I570, I571, I572, I573) -> f9#(I574, 0, I575, I576, I577, I578, I579, I580, I581) [I574 <= I566 /\ I582 <= I583 /\ 0 <= I565 - 1 /\ 1 <= I566 - 1 /\ 1 <= I574 - 1 /\ I567 + 2 <= I566] 62.76/61.85 36) f4#(I584, I585, I586, I587, I588, I589, I590, I591, I592) -> f8#(I593, I594, I595, I596, I597, I598, I599, I600, I601) [I602 <= I603 - 1 /\ -1 <= I602 - 1 /\ 0 <= I603 - 1 /\ -1 <= I595 - 1 /\ I602 + 1 <= I603 /\ I593 <= I584 /\ I593 <= I585 /\ 0 <= I584 - 1 /\ 0 <= I585 - 1 /\ 0 <= I593 - 1 /\ 1 <= I594 - 1 /\ I602 + 1 = I596] 62.76/61.85 37) f6#(I604, I605, I606, I607, I608, I609, I610, I611, I612) -> f7#(I613, I614, I615, I616, I617, I618, I619, I620, I621) [I622 <= I606 /\ -1 <= I622 - 1 /\ I613 <= I604 /\ I613 <= I605 /\ 0 <= I604 - 1 /\ 0 <= I605 - 1 /\ 0 <= I613 - 1 /\ 1 <= I614 - 1] 62.76/61.85 38) f4#(I623, I624, I625, I626, I627, I628, I629, I630, I631) -> f6#(I632, I633, I634, I635, I636, I637, I638, I639, I640) [I641 <= I642 - 1 /\ -1 <= I641 - 1 /\ I632 <= I623 /\ I632 - 1 <= I624 /\ I633 <= I624 /\ 0 <= I623 - 1 /\ -1 <= I624 - 1 /\ 0 <= I632 - 1 /\ -1 <= I633 - 1 /\ I641 + 1 = I634] 62.76/61.85 39) f4#(I643, I644, I645, I646, I647, I648, I649, I650, I651) -> f6#(I652, I653, I654, I655, I656, I657, I658, I659, I660) [I652 <= I643 /\ I661 <= I654 /\ I652 - 1 <= I644 /\ I653 <= I644 /\ 0 <= I643 - 1 /\ -1 <= I644 - 1 /\ 0 <= I652 - 1 /\ -1 <= I653 - 1] 62.76/61.85 40) f5#(I662, I663, I664, I665, I666, I667, I668, I669, I670) -> f4#(I671, I672, I673, I674, I675, I676, I677, I678, I679) [I671 <= I662 /\ -1 <= I680 - 1 /\ I672 + 1 <= I662 /\ 0 <= I662 - 1 /\ 0 <= I671 - 1 /\ -1 <= I672 - 1] 62.76/61.85 41) f3#(I681, I682, I683, I684, I685, I686, I687, I688, I689) -> f4#(I690, I691, I692, I693, I694, I695, I696, I697, I698) [-1 <= I691 - 1 /\ 0 <= I690 - 1 /\ 0 <= I681 - 1 /\ -1 <= I682 - 1 /\ I690 <= I681] 62.76/61.85 42) f1#(I699, I700, I701, I702, I703, I704, I705, I706, I707) -> f2#(I708, I700, I709, I710, I703, I711, I704, I712, I705) [I705 + 2 <= I702 /\ I712 + 2 <= I701 /\ I704 + 4 <= I699 /\ I711 + 4 <= I699 /\ 2 <= I710 - 1 /\ 0 <= I709 - 1 /\ 4 <= I708 - 1 /\ 2 <= I702 - 1 /\ 0 <= I701 - 1 /\ 4 <= I699 - 1 /\ I710 <= I702 /\ I709 <= I701 /\ I708 <= I699] 62.76/61.85 62.76/61.85 We have the following SCCs. 62.76/61.85 { 16, 17, 18, 19 } 62.76/61.85 { 20, 21 } 62.76/61.85 { 30 } 62.76/61.85 { 13 } 62.76/61.85 { 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 42 } 62.76/61.85 62.76/61.85 DP problem for innermost termination. 62.76/61.85 P = 62.76/61.85 f2#(I0, I1, I2, I3, I4, I5, I6, I7, I8) -> f9#(I9, I1 - 1, I10, I11, I12, I13, I14, I15, I16) [I8 + 2 <= I3 /\ I7 + 2 <= I2 /\ I6 + 4 <= I0 /\ I5 + 4 <= I0 /\ 4 <= I9 - 1 /\ 2 <= I3 - 1 /\ 0 <= I2 - 1 /\ 4 <= I0 - 1 /\ 0 <= I1 - 1 /\ I1 - 1 <= I1 - 1] 62.76/61.85 f19#(I17, I18, I19, I20, I21, I22, I23, I24, I25) -> f9#(I26, I18, I27, I28, I29, I30, I31, I32, I33) [0 <= I17 - 1 /\ 2 <= I26 - 1 /\ I18 <= I17 - 1] 62.76/61.85 f2#(I34, I35, I36, I37, I38, I39, I40, I41, I42) -> f9#(I43, I35 - 1, I44, I45, I46, I47, I48, I49, I50) [I41 = I42 /\ I39 = I40 /\ I41 + 2 <= I37 /\ I41 + 2 <= I36 /\ I39 + 4 <= I34 /\ 4 <= I43 - 1 /\ 2 <= I37 - 1 /\ 2 <= I36 - 1 /\ 4 <= I34 - 1 /\ I43 - 2 <= I37 /\ I43 - 2 <= I36 /\ I43 <= I34 /\ I35 - 1 <= I35 - 1 /\ 0 <= I35 - 1] 62.76/61.85 f18#(I51, I52, I53, I54, I55, I56, I57, I58, I59) -> f9#(I60, I51 - 1, I61, I62, I63, I64, I65, I66, I67) [4 <= I60 - 1 /\ 2 <= I53 - 1 /\ 0 <= I52 - 1 /\ I51 - 1 <= I51 - 1 /\ 0 <= I51 - 1] 62.76/61.85 f18#(I68, I69, I70, I71, I72, I73, I74, I75, I76) -> f19#(I68, I68 - 1, I71, I77, I78, I79, I80, I81, I82) [2 <= I70 - 1 /\ 0 <= I68 - 1 /\ 2 <= I69 - 1] 62.76/61.85 f1#(I83, I84, I85, I86, I87, I88, I89, I90, I91) -> f19#(I84, I84 - 1, I87, I92, I93, I94, I95, I96, I97) [I89 + 2 <= I86 /\ I88 + 4 <= I85 /\ I88 + 4 <= I83 /\ 4 <= I86 - 1 /\ 4 <= I85 - 1 /\ 0 <= I84 - 1 /\ 4 <= I83 - 1] 62.76/61.85 f17#(I98, I99, I100, I101, I102, I103, I104, I105, I106) -> f19#(I99, I99 - 1, I101, I107, I108, I109, I110, I111, I112) [2 <= I100 - 1 /\ 0 <= I99 - 1 /\ 2 <= I98 - 1] 62.76/61.85 f17#(I113, I114, I115, I116, I117, I118, I119, I120, I121) -> f9#(I122, I114 - 1, I123, I124, I125, I126, I127, I128, I129) [4 <= I122 - 1 /\ 0 <= I115 - 1 /\ 2 <= I113 - 1 /\ I114 - 1 <= I114 - 1 /\ 0 <= I114 - 1] 62.76/61.85 f16#(I130, I131, I132, I133, I134, I135, I136, I137, I138) -> f18#(I131, I139, I140, I133, I141, I142, I143, I144, I145) [I134 + 3 <= I132 /\ I134 + 3 <= I130 /\ 2 <= I140 - 1 /\ 0 <= I139 - 1 /\ 2 <= I132 - 1 /\ 2 <= I130 - 1] 62.76/61.85 f16#(I146, I147, I148, I149, I150, I151, I152, I153, I154) -> f1#(I155, I147, I156, I157, I149, I158, I159, I160, I161) [I150 + 3 <= I146 /\ 2 <= I157 - 1 /\ 0 <= I156 - 1 /\ 4 <= I155 - 1 /\ 0 <= I148 - 1 /\ 2 <= I146 - 1] 62.76/61.85 f9#(I162, I163, I164, I165, I166, I167, I168, I169, I170) -> f17#(I171, I163, I172, I173, I174, I175, I176, I177, I178) [0 <= I172 - 1 /\ 2 <= I171 - 1 /\ 2 <= I162 - 1 /\ 0 <= I163 - 1 /\ I171 <= I162] 62.76/61.85 f9#(I179, I180, I181, I182, I183, I184, I185, I186, I187) -> f16#(I188, I180, I189, I190, I191, I192, I193, I194, I195) [I191 + 3 <= I179 /\ 0 <= I189 - 1 /\ 2 <= I188 - 1 /\ 2 <= I179 - 1 /\ 0 <= I180 - 1 /\ I188 <= I179] 62.76/61.85 f1#(I699, I700, I701, I702, I703, I704, I705, I706, I707) -> f2#(I708, I700, I709, I710, I703, I711, I704, I712, I705) [I705 + 2 <= I702 /\ I712 + 2 <= I701 /\ I704 + 4 <= I699 /\ I711 + 4 <= I699 /\ 2 <= I710 - 1 /\ 0 <= I709 - 1 /\ 4 <= I708 - 1 /\ 2 <= I702 - 1 /\ 0 <= I701 - 1 /\ 4 <= I699 - 1 /\ I710 <= I702 /\ I709 <= I701 /\ I708 <= I699] 62.76/61.85 R = 62.76/61.85 init(x1, x2, x3, x4, x5, x6, x7, x8, x9) -> f3(rnd1, rnd2, rnd3, rnd4, rnd5, rnd6, rnd7, rnd8, rnd9) 62.76/61.85 f2(I0, I1, I2, I3, I4, I5, I6, I7, I8) -> f9(I9, I1 - 1, I10, I11, I12, I13, I14, I15, I16) [I8 + 2 <= I3 /\ I7 + 2 <= I2 /\ I6 + 4 <= I0 /\ I5 + 4 <= I0 /\ 4 <= I9 - 1 /\ 2 <= I3 - 1 /\ 0 <= I2 - 1 /\ 4 <= I0 - 1 /\ 0 <= I1 - 1 /\ I1 - 1 <= I1 - 1] 62.76/61.85 f19(I17, I18, I19, I20, I21, I22, I23, I24, I25) -> f9(I26, I18, I27, I28, I29, I30, I31, I32, I33) [0 <= I17 - 1 /\ 2 <= I26 - 1 /\ I18 <= I17 - 1] 62.76/61.85 f2(I34, I35, I36, I37, I38, I39, I40, I41, I42) -> f9(I43, I35 - 1, I44, I45, I46, I47, I48, I49, I50) [I41 = I42 /\ I39 = I40 /\ I41 + 2 <= I37 /\ I41 + 2 <= I36 /\ I39 + 4 <= I34 /\ 4 <= I43 - 1 /\ 2 <= I37 - 1 /\ 2 <= I36 - 1 /\ 4 <= I34 - 1 /\ I43 - 2 <= I37 /\ I43 - 2 <= I36 /\ I43 <= I34 /\ I35 - 1 <= I35 - 1 /\ 0 <= I35 - 1] 62.76/61.85 f18(I51, I52, I53, I54, I55, I56, I57, I58, I59) -> f9(I60, I51 - 1, I61, I62, I63, I64, I65, I66, I67) [4 <= I60 - 1 /\ 2 <= I53 - 1 /\ 0 <= I52 - 1 /\ I51 - 1 <= I51 - 1 /\ 0 <= I51 - 1] 62.76/61.85 f18(I68, I69, I70, I71, I72, I73, I74, I75, I76) -> f19(I68, I68 - 1, I71, I77, I78, I79, I80, I81, I82) [2 <= I70 - 1 /\ 0 <= I68 - 1 /\ 2 <= I69 - 1] 62.76/61.85 f1(I83, I84, I85, I86, I87, I88, I89, I90, I91) -> f19(I84, I84 - 1, I87, I92, I93, I94, I95, I96, I97) [I89 + 2 <= I86 /\ I88 + 4 <= I85 /\ I88 + 4 <= I83 /\ 4 <= I86 - 1 /\ 4 <= I85 - 1 /\ 0 <= I84 - 1 /\ 4 <= I83 - 1] 62.76/61.85 f17(I98, I99, I100, I101, I102, I103, I104, I105, I106) -> f19(I99, I99 - 1, I101, I107, I108, I109, I110, I111, I112) [2 <= I100 - 1 /\ 0 <= I99 - 1 /\ 2 <= I98 - 1] 62.76/61.85 f17(I113, I114, I115, I116, I117, I118, I119, I120, I121) -> f9(I122, I114 - 1, I123, I124, I125, I126, I127, I128, I129) [4 <= I122 - 1 /\ 0 <= I115 - 1 /\ 2 <= I113 - 1 /\ I114 - 1 <= I114 - 1 /\ 0 <= I114 - 1] 62.76/61.85 f16(I130, I131, I132, I133, I134, I135, I136, I137, I138) -> f18(I131, I139, I140, I133, I141, I142, I143, I144, I145) [I134 + 3 <= I132 /\ I134 + 3 <= I130 /\ 2 <= I140 - 1 /\ 0 <= I139 - 1 /\ 2 <= I132 - 1 /\ 2 <= I130 - 1] 62.76/61.85 f16(I146, I147, I148, I149, I150, I151, I152, I153, I154) -> f1(I155, I147, I156, I157, I149, I158, I159, I160, I161) [I150 + 3 <= I146 /\ 2 <= I157 - 1 /\ 0 <= I156 - 1 /\ 4 <= I155 - 1 /\ 0 <= I148 - 1 /\ 2 <= I146 - 1] 62.76/61.85 f9(I162, I163, I164, I165, I166, I167, I168, I169, I170) -> f17(I171, I163, I172, I173, I174, I175, I176, I177, I178) [0 <= I172 - 1 /\ 2 <= I171 - 1 /\ 2 <= I162 - 1 /\ 0 <= I163 - 1 /\ I171 <= I162] 62.76/61.85 f9(I179, I180, I181, I182, I183, I184, I185, I186, I187) -> f16(I188, I180, I189, I190, I191, I192, I193, I194, I195) [I191 + 3 <= I179 /\ 0 <= I189 - 1 /\ 2 <= I188 - 1 /\ 2 <= I179 - 1 /\ 0 <= I180 - 1 /\ I188 <= I179] 62.76/61.85 f15(I196, I197, I198, I199, I200, I201, I202, I203, I204) -> f15(I205, I206, I207, I208, I209, I210, I211, I212, I213) [I198 + 2 <= I196 /\ -1 <= I206 - 1 /\ 0 <= I205 - 1 /\ 0 <= I197 - 1 /\ 2 <= I196 - 1] 62.76/61.85 f4(I214, I215, I216, I217, I218, I219, I220, I221, I222) -> f15(I223, I224, I225, I226, I227, I228, I229, I230, I231) [y2 <= y1 - 1 /\ -1 <= y2 - 1 /\ 0 <= y1 - 1 /\ -1 <= y3 - 1 /\ y2 + 1 <= y1 /\ I223 <= I215 /\ 0 <= I214 - 1 /\ 0 <= I215 - 1 /\ 0 <= I223 - 1 /\ -1 <= I224 - 1 /\ I225 + 2 <= I215] 62.76/61.85 f6(I232, I233, I234, I235, I236, I237, I238, I239, I240) -> f15(I241, I242, I243, I244, I245, I246, I247, I248, I249) [I241 <= I233 /\ I250 <= I234 /\ 0 <= I232 - 1 /\ 0 <= I233 - 1 /\ 0 <= I241 - 1 /\ -1 <= I242 - 1 /\ I243 + 2 <= I233] 62.76/61.85 f14(I251, I252, I253, I254, I255, I256, I257, I258, I259) -> f13(I260, I253 + 1, I251, I255, I256, I261, I262, I263, I264) [4 <= I260 - 1 /\ 0 <= I254 - 1 /\ 2 <= I252 - 1] 62.76/61.85 f14(I265, I266, I267, I268, I269, I270, I271, I272, I273) -> f13(I274, I267 + 1, I265, I269, I270, I275, I276, I277, I278) [1 <= I274 - 1 /\ -1 <= I268 - 1 /\ 1 <= I266 - 1 /\ I274 - 2 <= I268 /\ I274 <= I266] 62.76/61.85 f13(I279, I280, I281, I282, I283, I284, I285, I286, I287) -> f14(I281, I288, I280, I289, I282, I283 + 1, I290, I291, I292) [I280 <= I281 - 1 /\ -1 <= I282 - 1 /\ I283 <= I282 - 1 /\ -1 <= I283 - 1 /\ -1 <= I293 - 1 /\ I289 <= I279 /\ -1 <= I279 - 1 /\ 1 <= I288 - 1 /\ -1 <= I289 - 1] 62.76/61.85 f13(I294, I295, I296, I297, I298, I299, I300, I301, I302) -> f14(I296, I303, I295, I304, I297, I298 + 1, I305, I306, I307) [-1 <= I304 - 1 /\ 1 <= I303 - 1 /\ -1 <= I294 - 1 /\ I304 <= I294 /\ -1 <= I298 - 1 /\ I298 <= I297 - 1 /\ -1 <= I297 - 1 /\ I295 <= I296 - 1] 62.76/61.85 f13(I308, I309, I310, I311, I312, I313, I314, I315, I316) -> f13(I317, I309 + 1, I310, I311, I312, I318, I319, I320, I321) [4 <= I317 - 1 /\ 0 <= I308 - 1 /\ I309 <= I310 - 1 /\ -1 <= I311 - 1 /\ I311 <= I312] 62.76/61.85 f13(I322, I323, I324, I325, I326, I327, I328, I329, I330) -> f13(I331, I323 + 1, I324, I325, I326, I332, I333, I334, I335) [1 <= I331 - 1 /\ -1 <= I322 - 1 /\ I331 - 2 <= I322 /\ I323 <= I324 - 1 /\ -1 <= I325 - 1 /\ I325 <= I326] 62.76/61.85 f3(I336, I337, I338, I339, I340, I341, I342, I343, I344) -> f13(I345, 0, I346, I337, 1, I347, I348, I349, I350) [-1 <= I345 - 1 /\ 0 <= I336 - 1 /\ I345 + 1 <= I336 /\ 0 <= I337 - 1 /\ -1 <= I346 - 1] 62.76/61.85 f3(I351, I352, I353, I354, I355, I356, I357, I358, I359) -> f13(I360, 0, 0, I352, 1, I361, I362, I363, I364) [-1 <= I360 - 1 /\ 0 <= I351 - 1 /\ 0 <= I352 - 1 /\ I360 + 1 <= I351] 62.76/61.85 f3(I365, I366, I367, I368, I369, I370, I371, I372, I373) -> f13(I374, 0, 0, 0, 0, I375, I376, I377, I378) [0 = I366 /\ -1 <= I374 - 1 /\ 0 <= I365 - 1 /\ I374 + 1 <= I365] 62.76/61.85 f11(I379, I380, I381, I382, I383, I384, I385, I386, I387) -> f9(I388, I389, I390, I391, I392, I393, I394, I395, I396) [I397 <= I398 - 1 /\ 0 <= I397 - 1 /\ 1 <= I398 - 1 /\ -1 <= I389 - 1 /\ I397 + 1 <= I398 /\ I388 <= I380 /\ 0 <= I379 - 1 /\ 0 <= I380 - 1 /\ 0 <= I388 - 1] 62.76/61.85 f11(I399, I400, I401, I402, I403, I404, I405, I406, I407) -> f12(I408, I409, I410, I411, I412, I413, I414, I415, I416) [I417 <= I418 - 1 /\ 0 <= I417 - 1 /\ I408 <= I399 /\ I408 - 1 <= I400 /\ I409 <= I400 /\ 0 <= I399 - 1 /\ -1 <= I400 - 1 /\ 0 <= I408 - 1 /\ -1 <= I409 - 1 /\ I417 + 1 = I410] 62.76/61.85 f12(I419, I420, I421, I422, I423, I424, I425, I426, I427) -> f9(I428, 0, I429, I430, I431, I432, I433, I434, I435) [I436 <= I421 /\ 0 <= I436 - 1 /\ 0 <= I421 - 1 /\ I428 <= I420 /\ 0 <= I419 - 1 /\ 0 <= I420 - 1 /\ 0 <= I428 - 1] 62.76/61.85 f8(I437, I438, I439, I440, I441, I442, I443, I444, I445) -> f11(I446, I447, I448, I449, I450, I451, I452, I453, I454) [-1 <= I455 - 1 /\ 0 <= I439 - 1 /\ I446 <= I437 /\ I446 - 1 <= I438 /\ I447 + 1 <= I437 /\ I447 <= I438 /\ 0 <= I437 - 1 /\ -1 <= I438 - 1 /\ 0 <= I446 - 1 /\ -1 <= I447 - 1] 62.76/61.85 f11(I456, I457, I458, I459, I460, I461, I462, I463, I464) -> f12(I465, I466, I467, I468, I469, I470, I471, I472, I473) [I465 <= I456 /\ I474 <= I467 /\ I465 - 1 <= I457 /\ I466 <= I457 /\ 0 <= I456 - 1 /\ -1 <= I457 - 1 /\ 0 <= I465 - 1 /\ -1 <= I466 - 1] 62.76/61.85 f8(I475, I476, I477, I478, I479, I480, I481, I482, I483) -> f8(I484, I485, I477, I478, I486, I487, I488, I489, I490) [-1 <= I485 - 1 /\ 0 <= I484 - 1 /\ 0 <= I476 - 1 /\ 0 <= I475 - 1 /\ I484 <= I476 /\ 0 <= I477 - 1 /\ I484 <= I475] 62.76/61.85 f10(I491, I492, I493, I494, I495, I496, I497, I498, I499) -> f9(I500, I493, I501, I502, I503, I504, I505, I506, I507) [I494 <= I508 /\ 0 <= I508 - 1 /\ 0 <= I494 - 1 /\ I500 <= I492 /\ 0 <= I491 - 1 /\ 1 <= I492 - 1 /\ 1 <= I500 - 1 /\ I495 + 2 <= I492] 62.76/61.85 f8(I509, I510, I511, I512, I513, I514, I515, I516, I517) -> f11(I518, I519, I520, I521, I522, I523, I524, I525, I526) [I518 <= I509 /\ -1 <= I527 - 1 /\ I518 - 1 <= I510 /\ I519 <= I510 /\ 0 <= I509 - 1 /\ -1 <= I510 - 1 /\ 0 <= I518 - 1 /\ -1 <= I519 - 1 /\ 0 = I511] 62.76/61.85 f7(I528, I529, I530, I531, I532, I533, I534, I535, I536) -> f10(I537, I538, I539, I540, I530, I541, I542, I543, I544) [I545 <= I546 - 1 /\ -1 <= I545 - 1 /\ -1 <= I539 - 1 /\ I537 <= I528 /\ I537 + 1 <= I529 /\ I538 <= I529 /\ 0 <= I528 - 1 /\ 1 <= I529 - 1 /\ 0 <= I537 - 1 /\ 1 <= I538 - 1 /\ I530 + 2 <= I529 /\ I545 + 1 = I540] 62.76/61.85 f7(I547, I548, I549, I550, I551, I552, I553, I554, I555) -> f10(I556, I557, 0, I558, I549, I559, I560, I561, I562) [I563 <= I564 - 1 /\ -1 <= I563 - 1 /\ I556 <= I547 /\ I556 + 1 <= I548 /\ I557 <= I548 /\ 0 <= I547 - 1 /\ 1 <= I548 - 1 /\ 0 <= I556 - 1 /\ 1 <= I557 - 1 /\ I549 + 2 <= I548 /\ I563 + 1 = I558] 62.76/61.85 f7(I565, I566, I567, I568, I569, I570, I571, I572, I573) -> f9(I574, 0, I575, I576, I577, I578, I579, I580, I581) [I574 <= I566 /\ I582 <= I583 /\ 0 <= I565 - 1 /\ 1 <= I566 - 1 /\ 1 <= I574 - 1 /\ I567 + 2 <= I566] 62.76/61.85 f4(I584, I585, I586, I587, I588, I589, I590, I591, I592) -> f8(I593, I594, I595, I596, I597, I598, I599, I600, I601) [I602 <= I603 - 1 /\ -1 <= I602 - 1 /\ 0 <= I603 - 1 /\ -1 <= I595 - 1 /\ I602 + 1 <= I603 /\ I593 <= I584 /\ I593 <= I585 /\ 0 <= I584 - 1 /\ 0 <= I585 - 1 /\ 0 <= I593 - 1 /\ 1 <= I594 - 1 /\ I602 + 1 = I596] 62.76/61.85 f6(I604, I605, I606, I607, I608, I609, I610, I611, I612) -> f7(I613, I614, I615, I616, I617, I618, I619, I620, I621) [I622 <= I606 /\ -1 <= I622 - 1 /\ I613 <= I604 /\ I613 <= I605 /\ 0 <= I604 - 1 /\ 0 <= I605 - 1 /\ 0 <= I613 - 1 /\ 1 <= I614 - 1] 62.76/61.85 f4(I623, I624, I625, I626, I627, I628, I629, I630, I631) -> f6(I632, I633, I634, I635, I636, I637, I638, I639, I640) [I641 <= I642 - 1 /\ -1 <= I641 - 1 /\ I632 <= I623 /\ I632 - 1 <= I624 /\ I633 <= I624 /\ 0 <= I623 - 1 /\ -1 <= I624 - 1 /\ 0 <= I632 - 1 /\ -1 <= I633 - 1 /\ I641 + 1 = I634] 62.76/61.85 f4(I643, I644, I645, I646, I647, I648, I649, I650, I651) -> f6(I652, I653, I654, I655, I656, I657, I658, I659, I660) [I652 <= I643 /\ I661 <= I654 /\ I652 - 1 <= I644 /\ I653 <= I644 /\ 0 <= I643 - 1 /\ -1 <= I644 - 1 /\ 0 <= I652 - 1 /\ -1 <= I653 - 1] 62.76/61.85 f5(I662, I663, I664, I665, I666, I667, I668, I669, I670) -> f4(I671, I672, I673, I674, I675, I676, I677, I678, I679) [I671 <= I662 /\ -1 <= I680 - 1 /\ I672 + 1 <= I662 /\ 0 <= I662 - 1 /\ 0 <= I671 - 1 /\ -1 <= I672 - 1] 62.76/61.85 f3(I681, I682, I683, I684, I685, I686, I687, I688, I689) -> f4(I690, I691, I692, I693, I694, I695, I696, I697, I698) [-1 <= I691 - 1 /\ 0 <= I690 - 1 /\ 0 <= I681 - 1 /\ -1 <= I682 - 1 /\ I690 <= I681] 62.76/61.85 f1(I699, I700, I701, I702, I703, I704, I705, I706, I707) -> f2(I708, I700, I709, I710, I703, I711, I704, I712, I705) [I705 + 2 <= I702 /\ I712 + 2 <= I701 /\ I704 + 4 <= I699 /\ I711 + 4 <= I699 /\ 2 <= I710 - 1 /\ 0 <= I709 - 1 /\ 4 <= I708 - 1 /\ 2 <= I702 - 1 /\ 0 <= I701 - 1 /\ 4 <= I699 - 1 /\ I710 <= I702 /\ I709 <= I701 /\ I708 <= I699] 62.76/61.85 62.76/61.85 We use the basic value criterion with the projection function NU: 62.76/61.85 NU[f16#(z1,z2,z3,z4,z5,z6,z7,z8,z9)] = z2 62.76/61.85 NU[f17#(z1,z2,z3,z4,z5,z6,z7,z8,z9)] = z2 62.76/61.85 NU[f1#(z1,z2,z3,z4,z5,z6,z7,z8,z9)] = z2 62.76/61.85 NU[f18#(z1,z2,z3,z4,z5,z6,z7,z8,z9)] = z1 62.76/61.85 NU[f19#(z1,z2,z3,z4,z5,z6,z7,z8,z9)] = z1 62.76/61.85 NU[f9#(z1,z2,z3,z4,z5,z6,z7,z8,z9)] = z2 62.76/61.85 NU[f2#(z1,z2,z3,z4,z5,z6,z7,z8,z9)] = z2 62.76/61.85 62.76/61.85 This gives the following inequalities: 62.76/61.85 I8 + 2 <= I3 /\ I7 + 2 <= I2 /\ I6 + 4 <= I0 /\ I5 + 4 <= I0 /\ 4 <= I9 - 1 /\ 2 <= I3 - 1 /\ 0 <= I2 - 1 /\ 4 <= I0 - 1 /\ 0 <= I1 - 1 /\ I1 - 1 <= I1 - 1 ==> I1 >! I1 - 1 62.76/61.85 0 <= I17 - 1 /\ 2 <= I26 - 1 /\ I18 <= I17 - 1 ==> I17 >! I18 62.76/61.85 I41 = I42 /\ I39 = I40 /\ I41 + 2 <= I37 /\ I41 + 2 <= I36 /\ I39 + 4 <= I34 /\ 4 <= I43 - 1 /\ 2 <= I37 - 1 /\ 2 <= I36 - 1 /\ 4 <= I34 - 1 /\ I43 - 2 <= I37 /\ I43 - 2 <= I36 /\ I43 <= I34 /\ I35 - 1 <= I35 - 1 /\ 0 <= I35 - 1 ==> I35 >! I35 - 1 62.76/61.85 4 <= I60 - 1 /\ 2 <= I53 - 1 /\ 0 <= I52 - 1 /\ I51 - 1 <= I51 - 1 /\ 0 <= I51 - 1 ==> I51 >! I51 - 1 62.76/61.85 2 <= I70 - 1 /\ 0 <= I68 - 1 /\ 2 <= I69 - 1 ==> I68 (>! \union =) I68 62.76/61.85 I89 + 2 <= I86 /\ I88 + 4 <= I85 /\ I88 + 4 <= I83 /\ 4 <= I86 - 1 /\ 4 <= I85 - 1 /\ 0 <= I84 - 1 /\ 4 <= I83 - 1 ==> I84 (>! \union =) I84 62.76/61.85 2 <= I100 - 1 /\ 0 <= I99 - 1 /\ 2 <= I98 - 1 ==> I99 (>! \union =) I99 62.76/61.85 4 <= I122 - 1 /\ 0 <= I115 - 1 /\ 2 <= I113 - 1 /\ I114 - 1 <= I114 - 1 /\ 0 <= I114 - 1 ==> I114 >! I114 - 1 62.76/61.85 I134 + 3 <= I132 /\ I134 + 3 <= I130 /\ 2 <= I140 - 1 /\ 0 <= I139 - 1 /\ 2 <= I132 - 1 /\ 2 <= I130 - 1 ==> I131 (>! \union =) I131 62.76/61.85 I150 + 3 <= I146 /\ 2 <= I157 - 1 /\ 0 <= I156 - 1 /\ 4 <= I155 - 1 /\ 0 <= I148 - 1 /\ 2 <= I146 - 1 ==> I147 (>! \union =) I147 62.76/61.85 0 <= I172 - 1 /\ 2 <= I171 - 1 /\ 2 <= I162 - 1 /\ 0 <= I163 - 1 /\ I171 <= I162 ==> I163 (>! \union =) I163 62.76/61.85 I191 + 3 <= I179 /\ 0 <= I189 - 1 /\ 2 <= I188 - 1 /\ 2 <= I179 - 1 /\ 0 <= I180 - 1 /\ I188 <= I179 ==> I180 (>! \union =) I180 62.76/61.85 I705 + 2 <= I702 /\ I712 + 2 <= I701 /\ I704 + 4 <= I699 /\ I711 + 4 <= I699 /\ 2 <= I710 - 1 /\ 0 <= I709 - 1 /\ 4 <= I708 - 1 /\ 2 <= I702 - 1 /\ 0 <= I701 - 1 /\ 4 <= I699 - 1 /\ I710 <= I702 /\ I709 <= I701 /\ I708 <= I699 ==> I700 (>! \union =) I700 62.76/61.85 62.76/61.85 We remove all the strictly oriented dependency pairs. 62.76/61.85 62.76/61.85 DP problem for innermost termination. 62.76/61.85 P = 62.76/61.85 f18#(I68, I69, I70, I71, I72, I73, I74, I75, I76) -> f19#(I68, I68 - 1, I71, I77, I78, I79, I80, I81, I82) [2 <= I70 - 1 /\ 0 <= I68 - 1 /\ 2 <= I69 - 1] 62.76/61.85 f1#(I83, I84, I85, I86, I87, I88, I89, I90, I91) -> f19#(I84, I84 - 1, I87, I92, I93, I94, I95, I96, I97) [I89 + 2 <= I86 /\ I88 + 4 <= I85 /\ I88 + 4 <= I83 /\ 4 <= I86 - 1 /\ 4 <= I85 - 1 /\ 0 <= I84 - 1 /\ 4 <= I83 - 1] 62.76/61.85 f17#(I98, I99, I100, I101, I102, I103, I104, I105, I106) -> f19#(I99, I99 - 1, I101, I107, I108, I109, I110, I111, I112) [2 <= I100 - 1 /\ 0 <= I99 - 1 /\ 2 <= I98 - 1] 62.76/61.85 f16#(I130, I131, I132, I133, I134, I135, I136, I137, I138) -> f18#(I131, I139, I140, I133, I141, I142, I143, I144, I145) [I134 + 3 <= I132 /\ I134 + 3 <= I130 /\ 2 <= I140 - 1 /\ 0 <= I139 - 1 /\ 2 <= I132 - 1 /\ 2 <= I130 - 1] 62.76/61.85 f16#(I146, I147, I148, I149, I150, I151, I152, I153, I154) -> f1#(I155, I147, I156, I157, I149, I158, I159, I160, I161) [I150 + 3 <= I146 /\ 2 <= I157 - 1 /\ 0 <= I156 - 1 /\ 4 <= I155 - 1 /\ 0 <= I148 - 1 /\ 2 <= I146 - 1] 62.76/61.85 f9#(I162, I163, I164, I165, I166, I167, I168, I169, I170) -> f17#(I171, I163, I172, I173, I174, I175, I176, I177, I178) [0 <= I172 - 1 /\ 2 <= I171 - 1 /\ 2 <= I162 - 1 /\ 0 <= I163 - 1 /\ I171 <= I162] 62.76/61.85 f9#(I179, I180, I181, I182, I183, I184, I185, I186, I187) -> f16#(I188, I180, I189, I190, I191, I192, I193, I194, I195) [I191 + 3 <= I179 /\ 0 <= I189 - 1 /\ 2 <= I188 - 1 /\ 2 <= I179 - 1 /\ 0 <= I180 - 1 /\ I188 <= I179] 62.76/61.85 f1#(I699, I700, I701, I702, I703, I704, I705, I706, I707) -> f2#(I708, I700, I709, I710, I703, I711, I704, I712, I705) [I705 + 2 <= I702 /\ I712 + 2 <= I701 /\ I704 + 4 <= I699 /\ I711 + 4 <= I699 /\ 2 <= I710 - 1 /\ 0 <= I709 - 1 /\ 4 <= I708 - 1 /\ 2 <= I702 - 1 /\ 0 <= I701 - 1 /\ 4 <= I699 - 1 /\ I710 <= I702 /\ I709 <= I701 /\ I708 <= I699] 62.76/61.85 R = 62.76/61.85 init(x1, x2, x3, x4, x5, x6, x7, x8, x9) -> f3(rnd1, rnd2, rnd3, rnd4, rnd5, rnd6, rnd7, rnd8, rnd9) 62.76/61.85 f2(I0, I1, I2, I3, I4, I5, I6, I7, I8) -> f9(I9, I1 - 1, I10, I11, I12, I13, I14, I15, I16) [I8 + 2 <= I3 /\ I7 + 2 <= I2 /\ I6 + 4 <= I0 /\ I5 + 4 <= I0 /\ 4 <= I9 - 1 /\ 2 <= I3 - 1 /\ 0 <= I2 - 1 /\ 4 <= I0 - 1 /\ 0 <= I1 - 1 /\ I1 - 1 <= I1 - 1] 62.76/61.85 f19(I17, I18, I19, I20, I21, I22, I23, I24, I25) -> f9(I26, I18, I27, I28, I29, I30, I31, I32, I33) [0 <= I17 - 1 /\ 2 <= I26 - 1 /\ I18 <= I17 - 1] 62.76/61.85 f2(I34, I35, I36, I37, I38, I39, I40, I41, I42) -> f9(I43, I35 - 1, I44, I45, I46, I47, I48, I49, I50) [I41 = I42 /\ I39 = I40 /\ I41 + 2 <= I37 /\ I41 + 2 <= I36 /\ I39 + 4 <= I34 /\ 4 <= I43 - 1 /\ 2 <= I37 - 1 /\ 2 <= I36 - 1 /\ 4 <= I34 - 1 /\ I43 - 2 <= I37 /\ I43 - 2 <= I36 /\ I43 <= I34 /\ I35 - 1 <= I35 - 1 /\ 0 <= I35 - 1] 62.76/61.85 f18(I51, I52, I53, I54, I55, I56, I57, I58, I59) -> f9(I60, I51 - 1, I61, I62, I63, I64, I65, I66, I67) [4 <= I60 - 1 /\ 2 <= I53 - 1 /\ 0 <= I52 - 1 /\ I51 - 1 <= I51 - 1 /\ 0 <= I51 - 1] 62.76/61.85 f18(I68, I69, I70, I71, I72, I73, I74, I75, I76) -> f19(I68, I68 - 1, I71, I77, I78, I79, I80, I81, I82) [2 <= I70 - 1 /\ 0 <= I68 - 1 /\ 2 <= I69 - 1] 62.76/61.85 f1(I83, I84, I85, I86, I87, I88, I89, I90, I91) -> f19(I84, I84 - 1, I87, I92, I93, I94, I95, I96, I97) [I89 + 2 <= I86 /\ I88 + 4 <= I85 /\ I88 + 4 <= I83 /\ 4 <= I86 - 1 /\ 4 <= I85 - 1 /\ 0 <= I84 - 1 /\ 4 <= I83 - 1] 62.76/61.85 f17(I98, I99, I100, I101, I102, I103, I104, I105, I106) -> f19(I99, I99 - 1, I101, I107, I108, I109, I110, I111, I112) [2 <= I100 - 1 /\ 0 <= I99 - 1 /\ 2 <= I98 - 1] 62.76/61.85 f17(I113, I114, I115, I116, I117, I118, I119, I120, I121) -> f9(I122, I114 - 1, I123, I124, I125, I126, I127, I128, I129) [4 <= I122 - 1 /\ 0 <= I115 - 1 /\ 2 <= I113 - 1 /\ I114 - 1 <= I114 - 1 /\ 0 <= I114 - 1] 62.76/61.85 f16(I130, I131, I132, I133, I134, I135, I136, I137, I138) -> f18(I131, I139, I140, I133, I141, I142, I143, I144, I145) [I134 + 3 <= I132 /\ I134 + 3 <= I130 /\ 2 <= I140 - 1 /\ 0 <= I139 - 1 /\ 2 <= I132 - 1 /\ 2 <= I130 - 1] 62.76/61.85 f16(I146, I147, I148, I149, I150, I151, I152, I153, I154) -> f1(I155, I147, I156, I157, I149, I158, I159, I160, I161) [I150 + 3 <= I146 /\ 2 <= I157 - 1 /\ 0 <= I156 - 1 /\ 4 <= I155 - 1 /\ 0 <= I148 - 1 /\ 2 <= I146 - 1] 62.76/61.85 f9(I162, I163, I164, I165, I166, I167, I168, I169, I170) -> f17(I171, I163, I172, I173, I174, I175, I176, I177, I178) [0 <= I172 - 1 /\ 2 <= I171 - 1 /\ 2 <= I162 - 1 /\ 0 <= I163 - 1 /\ I171 <= I162] 62.76/61.85 f9(I179, I180, I181, I182, I183, I184, I185, I186, I187) -> f16(I188, I180, I189, I190, I191, I192, I193, I194, I195) [I191 + 3 <= I179 /\ 0 <= I189 - 1 /\ 2 <= I188 - 1 /\ 2 <= I179 - 1 /\ 0 <= I180 - 1 /\ I188 <= I179] 62.76/61.85 f15(I196, I197, I198, I199, I200, I201, I202, I203, I204) -> f15(I205, I206, I207, I208, I209, I210, I211, I212, I213) [I198 + 2 <= I196 /\ -1 <= I206 - 1 /\ 0 <= I205 - 1 /\ 0 <= I197 - 1 /\ 2 <= I196 - 1] 62.76/61.85 f4(I214, I215, I216, I217, I218, I219, I220, I221, I222) -> f15(I223, I224, I225, I226, I227, I228, I229, I230, I231) [y2 <= y1 - 1 /\ -1 <= y2 - 1 /\ 0 <= y1 - 1 /\ -1 <= y3 - 1 /\ y2 + 1 <= y1 /\ I223 <= I215 /\ 0 <= I214 - 1 /\ 0 <= I215 - 1 /\ 0 <= I223 - 1 /\ -1 <= I224 - 1 /\ I225 + 2 <= I215] 62.76/61.85 f6(I232, I233, I234, I235, I236, I237, I238, I239, I240) -> f15(I241, I242, I243, I244, I245, I246, I247, I248, I249) [I241 <= I233 /\ I250 <= I234 /\ 0 <= I232 - 1 /\ 0 <= I233 - 1 /\ 0 <= I241 - 1 /\ -1 <= I242 - 1 /\ I243 + 2 <= I233] 62.76/61.85 f14(I251, I252, I253, I254, I255, I256, I257, I258, I259) -> f13(I260, I253 + 1, I251, I255, I256, I261, I262, I263, I264) [4 <= I260 - 1 /\ 0 <= I254 - 1 /\ 2 <= I252 - 1] 62.76/61.85 f14(I265, I266, I267, I268, I269, I270, I271, I272, I273) -> f13(I274, I267 + 1, I265, I269, I270, I275, I276, I277, I278) [1 <= I274 - 1 /\ -1 <= I268 - 1 /\ 1 <= I266 - 1 /\ I274 - 2 <= I268 /\ I274 <= I266] 62.76/61.85 f13(I279, I280, I281, I282, I283, I284, I285, I286, I287) -> f14(I281, I288, I280, I289, I282, I283 + 1, I290, I291, I292) [I280 <= I281 - 1 /\ -1 <= I282 - 1 /\ I283 <= I282 - 1 /\ -1 <= I283 - 1 /\ -1 <= I293 - 1 /\ I289 <= I279 /\ -1 <= I279 - 1 /\ 1 <= I288 - 1 /\ -1 <= I289 - 1] 62.76/61.85 f13(I294, I295, I296, I297, I298, I299, I300, I301, I302) -> f14(I296, I303, I295, I304, I297, I298 + 1, I305, I306, I307) [-1 <= I304 - 1 /\ 1 <= I303 - 1 /\ -1 <= I294 - 1 /\ I304 <= I294 /\ -1 <= I298 - 1 /\ I298 <= I297 - 1 /\ -1 <= I297 - 1 /\ I295 <= I296 - 1] 62.76/61.85 f13(I308, I309, I310, I311, I312, I313, I314, I315, I316) -> f13(I317, I309 + 1, I310, I311, I312, I318, I319, I320, I321) [4 <= I317 - 1 /\ 0 <= I308 - 1 /\ I309 <= I310 - 1 /\ -1 <= I311 - 1 /\ I311 <= I312] 62.76/61.85 f13(I322, I323, I324, I325, I326, I327, I328, I329, I330) -> f13(I331, I323 + 1, I324, I325, I326, I332, I333, I334, I335) [1 <= I331 - 1 /\ -1 <= I322 - 1 /\ I331 - 2 <= I322 /\ I323 <= I324 - 1 /\ -1 <= I325 - 1 /\ I325 <= I326] 62.76/61.85 f3(I336, I337, I338, I339, I340, I341, I342, I343, I344) -> f13(I345, 0, I346, I337, 1, I347, I348, I349, I350) [-1 <= I345 - 1 /\ 0 <= I336 - 1 /\ I345 + 1 <= I336 /\ 0 <= I337 - 1 /\ -1 <= I346 - 1] 62.76/61.85 f3(I351, I352, I353, I354, I355, I356, I357, I358, I359) -> f13(I360, 0, 0, I352, 1, I361, I362, I363, I364) [-1 <= I360 - 1 /\ 0 <= I351 - 1 /\ 0 <= I352 - 1 /\ I360 + 1 <= I351] 62.76/61.85 f3(I365, I366, I367, I368, I369, I370, I371, I372, I373) -> f13(I374, 0, 0, 0, 0, I375, I376, I377, I378) [0 = I366 /\ -1 <= I374 - 1 /\ 0 <= I365 - 1 /\ I374 + 1 <= I365] 62.76/61.85 f11(I379, I380, I381, I382, I383, I384, I385, I386, I387) -> f9(I388, I389, I390, I391, I392, I393, I394, I395, I396) [I397 <= I398 - 1 /\ 0 <= I397 - 1 /\ 1 <= I398 - 1 /\ -1 <= I389 - 1 /\ I397 + 1 <= I398 /\ I388 <= I380 /\ 0 <= I379 - 1 /\ 0 <= I380 - 1 /\ 0 <= I388 - 1] 62.76/61.85 f11(I399, I400, I401, I402, I403, I404, I405, I406, I407) -> f12(I408, I409, I410, I411, I412, I413, I414, I415, I416) [I417 <= I418 - 1 /\ 0 <= I417 - 1 /\ I408 <= I399 /\ I408 - 1 <= I400 /\ I409 <= I400 /\ 0 <= I399 - 1 /\ -1 <= I400 - 1 /\ 0 <= I408 - 1 /\ -1 <= I409 - 1 /\ I417 + 1 = I410] 62.76/61.85 f12(I419, I420, I421, I422, I423, I424, I425, I426, I427) -> f9(I428, 0, I429, I430, I431, I432, I433, I434, I435) [I436 <= I421 /\ 0 <= I436 - 1 /\ 0 <= I421 - 1 /\ I428 <= I420 /\ 0 <= I419 - 1 /\ 0 <= I420 - 1 /\ 0 <= I428 - 1] 62.76/61.85 f8(I437, I438, I439, I440, I441, I442, I443, I444, I445) -> f11(I446, I447, I448, I449, I450, I451, I452, I453, I454) [-1 <= I455 - 1 /\ 0 <= I439 - 1 /\ I446 <= I437 /\ I446 - 1 <= I438 /\ I447 + 1 <= I437 /\ I447 <= I438 /\ 0 <= I437 - 1 /\ -1 <= I438 - 1 /\ 0 <= I446 - 1 /\ -1 <= I447 - 1] 62.76/61.85 f11(I456, I457, I458, I459, I460, I461, I462, I463, I464) -> f12(I465, I466, I467, I468, I469, I470, I471, I472, I473) [I465 <= I456 /\ I474 <= I467 /\ I465 - 1 <= I457 /\ I466 <= I457 /\ 0 <= I456 - 1 /\ -1 <= I457 - 1 /\ 0 <= I465 - 1 /\ -1 <= I466 - 1] 62.76/61.85 f8(I475, I476, I477, I478, I479, I480, I481, I482, I483) -> f8(I484, I485, I477, I478, I486, I487, I488, I489, I490) [-1 <= I485 - 1 /\ 0 <= I484 - 1 /\ 0 <= I476 - 1 /\ 0 <= I475 - 1 /\ I484 <= I476 /\ 0 <= I477 - 1 /\ I484 <= I475] 62.76/61.85 f10(I491, I492, I493, I494, I495, I496, I497, I498, I499) -> f9(I500, I493, I501, I502, I503, I504, I505, I506, I507) [I494 <= I508 /\ 0 <= I508 - 1 /\ 0 <= I494 - 1 /\ I500 <= I492 /\ 0 <= I491 - 1 /\ 1 <= I492 - 1 /\ 1 <= I500 - 1 /\ I495 + 2 <= I492] 62.76/61.85 f8(I509, I510, I511, I512, I513, I514, I515, I516, I517) -> f11(I518, I519, I520, I521, I522, I523, I524, I525, I526) [I518 <= I509 /\ -1 <= I527 - 1 /\ I518 - 1 <= I510 /\ I519 <= I510 /\ 0 <= I509 - 1 /\ -1 <= I510 - 1 /\ 0 <= I518 - 1 /\ -1 <= I519 - 1 /\ 0 = I511] 62.76/61.85 f7(I528, I529, I530, I531, I532, I533, I534, I535, I536) -> f10(I537, I538, I539, I540, I530, I541, I542, I543, I544) [I545 <= I546 - 1 /\ -1 <= I545 - 1 /\ -1 <= I539 - 1 /\ I537 <= I528 /\ I537 + 1 <= I529 /\ I538 <= I529 /\ 0 <= I528 - 1 /\ 1 <= I529 - 1 /\ 0 <= I537 - 1 /\ 1 <= I538 - 1 /\ I530 + 2 <= I529 /\ I545 + 1 = I540] 62.76/61.85 f7(I547, I548, I549, I550, I551, I552, I553, I554, I555) -> f10(I556, I557, 0, I558, I549, I559, I560, I561, I562) [I563 <= I564 - 1 /\ -1 <= I563 - 1 /\ I556 <= I547 /\ I556 + 1 <= I548 /\ I557 <= I548 /\ 0 <= I547 - 1 /\ 1 <= I548 - 1 /\ 0 <= I556 - 1 /\ 1 <= I557 - 1 /\ I549 + 2 <= I548 /\ I563 + 1 = I558] 62.76/61.85 f7(I565, I566, I567, I568, I569, I570, I571, I572, I573) -> f9(I574, 0, I575, I576, I577, I578, I579, I580, I581) [I574 <= I566 /\ I582 <= I583 /\ 0 <= I565 - 1 /\ 1 <= I566 - 1 /\ 1 <= I574 - 1 /\ I567 + 2 <= I566] 62.76/61.85 f4(I584, I585, I586, I587, I588, I589, I590, I591, I592) -> f8(I593, I594, I595, I596, I597, I598, I599, I600, I601) [I602 <= I603 - 1 /\ -1 <= I602 - 1 /\ 0 <= I603 - 1 /\ -1 <= I595 - 1 /\ I602 + 1 <= I603 /\ I593 <= I584 /\ I593 <= I585 /\ 0 <= I584 - 1 /\ 0 <= I585 - 1 /\ 0 <= I593 - 1 /\ 1 <= I594 - 1 /\ I602 + 1 = I596] 62.76/61.85 f6(I604, I605, I606, I607, I608, I609, I610, I611, I612) -> f7(I613, I614, I615, I616, I617, I618, I619, I620, I621) [I622 <= I606 /\ -1 <= I622 - 1 /\ I613 <= I604 /\ I613 <= I605 /\ 0 <= I604 - 1 /\ 0 <= I605 - 1 /\ 0 <= I613 - 1 /\ 1 <= I614 - 1] 62.76/61.85 f4(I623, I624, I625, I626, I627, I628, I629, I630, I631) -> f6(I632, I633, I634, I635, I636, I637, I638, I639, I640) [I641 <= I642 - 1 /\ -1 <= I641 - 1 /\ I632 <= I623 /\ I632 - 1 <= I624 /\ I633 <= I624 /\ 0 <= I623 - 1 /\ -1 <= I624 - 1 /\ 0 <= I632 - 1 /\ -1 <= I633 - 1 /\ I641 + 1 = I634] 62.76/61.85 f4(I643, I644, I645, I646, I647, I648, I649, I650, I651) -> f6(I652, I653, I654, I655, I656, I657, I658, I659, I660) [I652 <= I643 /\ I661 <= I654 /\ I652 - 1 <= I644 /\ I653 <= I644 /\ 0 <= I643 - 1 /\ -1 <= I644 - 1 /\ 0 <= I652 - 1 /\ -1 <= I653 - 1] 62.76/61.85 f5(I662, I663, I664, I665, I666, I667, I668, I669, I670) -> f4(I671, I672, I673, I674, I675, I676, I677, I678, I679) [I671 <= I662 /\ -1 <= I680 - 1 /\ I672 + 1 <= I662 /\ 0 <= I662 - 1 /\ 0 <= I671 - 1 /\ -1 <= I672 - 1] 62.76/61.85 f3(I681, I682, I683, I684, I685, I686, I687, I688, I689) -> f4(I690, I691, I692, I693, I694, I695, I696, I697, I698) [-1 <= I691 - 1 /\ 0 <= I690 - 1 /\ 0 <= I681 - 1 /\ -1 <= I682 - 1 /\ I690 <= I681] 62.76/61.85 f1(I699, I700, I701, I702, I703, I704, I705, I706, I707) -> f2(I708, I700, I709, I710, I703, I711, I704, I712, I705) [I705 + 2 <= I702 /\ I712 + 2 <= I701 /\ I704 + 4 <= I699 /\ I711 + 4 <= I699 /\ 2 <= I710 - 1 /\ 0 <= I709 - 1 /\ 4 <= I708 - 1 /\ 2 <= I702 - 1 /\ 0 <= I701 - 1 /\ 4 <= I699 - 1 /\ I710 <= I702 /\ I709 <= I701 /\ I708 <= I699] 62.76/61.85 62.76/61.85 The dependency graph for this problem is: 62.76/61.85 5 -> 62.76/61.85 6 -> 62.76/61.85 7 -> 62.76/61.85 9 -> 5 62.76/61.85 10 -> 6, 42 62.76/61.85 11 -> 7 62.76/61.85 12 -> 9, 10 62.76/61.85 42 -> 62.76/61.85 Where: 62.76/61.85 5) f18#(I68, I69, I70, I71, I72, I73, I74, I75, I76) -> f19#(I68, I68 - 1, I71, I77, I78, I79, I80, I81, I82) [2 <= I70 - 1 /\ 0 <= I68 - 1 /\ 2 <= I69 - 1] 62.76/61.85 6) f1#(I83, I84, I85, I86, I87, I88, I89, I90, I91) -> f19#(I84, I84 - 1, I87, I92, I93, I94, I95, I96, I97) [I89 + 2 <= I86 /\ I88 + 4 <= I85 /\ I88 + 4 <= I83 /\ 4 <= I86 - 1 /\ 4 <= I85 - 1 /\ 0 <= I84 - 1 /\ 4 <= I83 - 1] 62.76/61.85 7) f17#(I98, I99, I100, I101, I102, I103, I104, I105, I106) -> f19#(I99, I99 - 1, I101, I107, I108, I109, I110, I111, I112) [2 <= I100 - 1 /\ 0 <= I99 - 1 /\ 2 <= I98 - 1] 62.76/61.85 9) f16#(I130, I131, I132, I133, I134, I135, I136, I137, I138) -> f18#(I131, I139, I140, I133, I141, I142, I143, I144, I145) [I134 + 3 <= I132 /\ I134 + 3 <= I130 /\ 2 <= I140 - 1 /\ 0 <= I139 - 1 /\ 2 <= I132 - 1 /\ 2 <= I130 - 1] 62.76/61.85 10) f16#(I146, I147, I148, I149, I150, I151, I152, I153, I154) -> f1#(I155, I147, I156, I157, I149, I158, I159, I160, I161) [I150 + 3 <= I146 /\ 2 <= I157 - 1 /\ 0 <= I156 - 1 /\ 4 <= I155 - 1 /\ 0 <= I148 - 1 /\ 2 <= I146 - 1] 62.76/61.85 11) f9#(I162, I163, I164, I165, I166, I167, I168, I169, I170) -> f17#(I171, I163, I172, I173, I174, I175, I176, I177, I178) [0 <= I172 - 1 /\ 2 <= I171 - 1 /\ 2 <= I162 - 1 /\ 0 <= I163 - 1 /\ I171 <= I162] 62.76/61.85 12) f9#(I179, I180, I181, I182, I183, I184, I185, I186, I187) -> f16#(I188, I180, I189, I190, I191, I192, I193, I194, I195) [I191 + 3 <= I179 /\ 0 <= I189 - 1 /\ 2 <= I188 - 1 /\ 2 <= I179 - 1 /\ 0 <= I180 - 1 /\ I188 <= I179] 62.76/61.85 42) f1#(I699, I700, I701, I702, I703, I704, I705, I706, I707) -> f2#(I708, I700, I709, I710, I703, I711, I704, I712, I705) [I705 + 2 <= I702 /\ I712 + 2 <= I701 /\ I704 + 4 <= I699 /\ I711 + 4 <= I699 /\ 2 <= I710 - 1 /\ 0 <= I709 - 1 /\ 4 <= I708 - 1 /\ 2 <= I702 - 1 /\ 0 <= I701 - 1 /\ 4 <= I699 - 1 /\ I710 <= I702 /\ I709 <= I701 /\ I708 <= I699] 62.76/61.85 62.76/61.85 We have the following SCCs. 62.76/61.85 62.76/61.85 62.76/61.85 DP problem for innermost termination. 62.76/61.85 P = 62.76/61.85 f15#(I196, I197, I198, I199, I200, I201, I202, I203, I204) -> f15#(I205, I206, I207, I208, I209, I210, I211, I212, I213) [I198 + 2 <= I196 /\ -1 <= I206 - 1 /\ 0 <= I205 - 1 /\ 0 <= I197 - 1 /\ 2 <= I196 - 1] 62.76/61.85 R = 62.76/61.85 init(x1, x2, x3, x4, x5, x6, x7, x8, x9) -> f3(rnd1, rnd2, rnd3, rnd4, rnd5, rnd6, rnd7, rnd8, rnd9) 62.76/61.85 f2(I0, I1, I2, I3, I4, I5, I6, I7, I8) -> f9(I9, I1 - 1, I10, I11, I12, I13, I14, I15, I16) [I8 + 2 <= I3 /\ I7 + 2 <= I2 /\ I6 + 4 <= I0 /\ I5 + 4 <= I0 /\ 4 <= I9 - 1 /\ 2 <= I3 - 1 /\ 0 <= I2 - 1 /\ 4 <= I0 - 1 /\ 0 <= I1 - 1 /\ I1 - 1 <= I1 - 1] 62.76/61.85 f19(I17, I18, I19, I20, I21, I22, I23, I24, I25) -> f9(I26, I18, I27, I28, I29, I30, I31, I32, I33) [0 <= I17 - 1 /\ 2 <= I26 - 1 /\ I18 <= I17 - 1] 62.76/61.85 f2(I34, I35, I36, I37, I38, I39, I40, I41, I42) -> f9(I43, I35 - 1, I44, I45, I46, I47, I48, I49, I50) [I41 = I42 /\ I39 = I40 /\ I41 + 2 <= I37 /\ I41 + 2 <= I36 /\ I39 + 4 <= I34 /\ 4 <= I43 - 1 /\ 2 <= I37 - 1 /\ 2 <= I36 - 1 /\ 4 <= I34 - 1 /\ I43 - 2 <= I37 /\ I43 - 2 <= I36 /\ I43 <= I34 /\ I35 - 1 <= I35 - 1 /\ 0 <= I35 - 1] 62.76/61.85 f18(I51, I52, I53, I54, I55, I56, I57, I58, I59) -> f9(I60, I51 - 1, I61, I62, I63, I64, I65, I66, I67) [4 <= I60 - 1 /\ 2 <= I53 - 1 /\ 0 <= I52 - 1 /\ I51 - 1 <= I51 - 1 /\ 0 <= I51 - 1] 62.76/61.85 f18(I68, I69, I70, I71, I72, I73, I74, I75, I76) -> f19(I68, I68 - 1, I71, I77, I78, I79, I80, I81, I82) [2 <= I70 - 1 /\ 0 <= I68 - 1 /\ 2 <= I69 - 1] 62.76/61.85 f1(I83, I84, I85, I86, I87, I88, I89, I90, I91) -> f19(I84, I84 - 1, I87, I92, I93, I94, I95, I96, I97) [I89 + 2 <= I86 /\ I88 + 4 <= I85 /\ I88 + 4 <= I83 /\ 4 <= I86 - 1 /\ 4 <= I85 - 1 /\ 0 <= I84 - 1 /\ 4 <= I83 - 1] 62.76/61.85 f17(I98, I99, I100, I101, I102, I103, I104, I105, I106) -> f19(I99, I99 - 1, I101, I107, I108, I109, I110, I111, I112) [2 <= I100 - 1 /\ 0 <= I99 - 1 /\ 2 <= I98 - 1] 62.76/61.85 f17(I113, I114, I115, I116, I117, I118, I119, I120, I121) -> f9(I122, I114 - 1, I123, I124, I125, I126, I127, I128, I129) [4 <= I122 - 1 /\ 0 <= I115 - 1 /\ 2 <= I113 - 1 /\ I114 - 1 <= I114 - 1 /\ 0 <= I114 - 1] 62.76/61.85 f16(I130, I131, I132, I133, I134, I135, I136, I137, I138) -> f18(I131, I139, I140, I133, I141, I142, I143, I144, I145) [I134 + 3 <= I132 /\ I134 + 3 <= I130 /\ 2 <= I140 - 1 /\ 0 <= I139 - 1 /\ 2 <= I132 - 1 /\ 2 <= I130 - 1] 62.76/61.85 f16(I146, I147, I148, I149, I150, I151, I152, I153, I154) -> f1(I155, I147, I156, I157, I149, I158, I159, I160, I161) [I150 + 3 <= I146 /\ 2 <= I157 - 1 /\ 0 <= I156 - 1 /\ 4 <= I155 - 1 /\ 0 <= I148 - 1 /\ 2 <= I146 - 1] 62.76/61.85 f9(I162, I163, I164, I165, I166, I167, I168, I169, I170) -> f17(I171, I163, I172, I173, I174, I175, I176, I177, I178) [0 <= I172 - 1 /\ 2 <= I171 - 1 /\ 2 <= I162 - 1 /\ 0 <= I163 - 1 /\ I171 <= I162] 62.76/61.85 f9(I179, I180, I181, I182, I183, I184, I185, I186, I187) -> f16(I188, I180, I189, I190, I191, I192, I193, I194, I195) [I191 + 3 <= I179 /\ 0 <= I189 - 1 /\ 2 <= I188 - 1 /\ 2 <= I179 - 1 /\ 0 <= I180 - 1 /\ I188 <= I179] 62.76/61.85 f15(I196, I197, I198, I199, I200, I201, I202, I203, I204) -> f15(I205, I206, I207, I208, I209, I210, I211, I212, I213) [I198 + 2 <= I196 /\ -1 <= I206 - 1 /\ 0 <= I205 - 1 /\ 0 <= I197 - 1 /\ 2 <= I196 - 1] 62.76/61.85 f4(I214, I215, I216, I217, I218, I219, I220, I221, I222) -> f15(I223, I224, I225, I226, I227, I228, I229, I230, I231) [y2 <= y1 - 1 /\ -1 <= y2 - 1 /\ 0 <= y1 - 1 /\ -1 <= y3 - 1 /\ y2 + 1 <= y1 /\ I223 <= I215 /\ 0 <= I214 - 1 /\ 0 <= I215 - 1 /\ 0 <= I223 - 1 /\ -1 <= I224 - 1 /\ I225 + 2 <= I215] 62.76/61.85 f6(I232, I233, I234, I235, I236, I237, I238, I239, I240) -> f15(I241, I242, I243, I244, I245, I246, I247, I248, I249) [I241 <= I233 /\ I250 <= I234 /\ 0 <= I232 - 1 /\ 0 <= I233 - 1 /\ 0 <= I241 - 1 /\ -1 <= I242 - 1 /\ I243 + 2 <= I233] 62.76/61.85 f14(I251, I252, I253, I254, I255, I256, I257, I258, I259) -> f13(I260, I253 + 1, I251, I255, I256, I261, I262, I263, I264) [4 <= I260 - 1 /\ 0 <= I254 - 1 /\ 2 <= I252 - 1] 62.76/61.85 f14(I265, I266, I267, I268, I269, I270, I271, I272, I273) -> f13(I274, I267 + 1, I265, I269, I270, I275, I276, I277, I278) [1 <= I274 - 1 /\ -1 <= I268 - 1 /\ 1 <= I266 - 1 /\ I274 - 2 <= I268 /\ I274 <= I266] 62.76/61.85 f13(I279, I280, I281, I282, I283, I284, I285, I286, I287) -> f14(I281, I288, I280, I289, I282, I283 + 1, I290, I291, I292) [I280 <= I281 - 1 /\ -1 <= I282 - 1 /\ I283 <= I282 - 1 /\ -1 <= I283 - 1 /\ -1 <= I293 - 1 /\ I289 <= I279 /\ -1 <= I279 - 1 /\ 1 <= I288 - 1 /\ -1 <= I289 - 1] 62.76/61.85 f13(I294, I295, I296, I297, I298, I299, I300, I301, I302) -> f14(I296, I303, I295, I304, I297, I298 + 1, I305, I306, I307) [-1 <= I304 - 1 /\ 1 <= I303 - 1 /\ -1 <= I294 - 1 /\ I304 <= I294 /\ -1 <= I298 - 1 /\ I298 <= I297 - 1 /\ -1 <= I297 - 1 /\ I295 <= I296 - 1] 62.76/61.85 f13(I308, I309, I310, I311, I312, I313, I314, I315, I316) -> f13(I317, I309 + 1, I310, I311, I312, I318, I319, I320, I321) [4 <= I317 - 1 /\ 0 <= I308 - 1 /\ I309 <= I310 - 1 /\ -1 <= I311 - 1 /\ I311 <= I312] 62.76/61.85 f13(I322, I323, I324, I325, I326, I327, I328, I329, I330) -> f13(I331, I323 + 1, I324, I325, I326, I332, I333, I334, I335) [1 <= I331 - 1 /\ -1 <= I322 - 1 /\ I331 - 2 <= I322 /\ I323 <= I324 - 1 /\ -1 <= I325 - 1 /\ I325 <= I326] 62.76/61.85 f3(I336, I337, I338, I339, I340, I341, I342, I343, I344) -> f13(I345, 0, I346, I337, 1, I347, I348, I349, I350) [-1 <= I345 - 1 /\ 0 <= I336 - 1 /\ I345 + 1 <= I336 /\ 0 <= I337 - 1 /\ -1 <= I346 - 1] 62.76/61.85 f3(I351, I352, I353, I354, I355, I356, I357, I358, I359) -> f13(I360, 0, 0, I352, 1, I361, I362, I363, I364) [-1 <= I360 - 1 /\ 0 <= I351 - 1 /\ 0 <= I352 - 1 /\ I360 + 1 <= I351] 62.76/61.85 f3(I365, I366, I367, I368, I369, I370, I371, I372, I373) -> f13(I374, 0, 0, 0, 0, I375, I376, I377, I378) [0 = I366 /\ -1 <= I374 - 1 /\ 0 <= I365 - 1 /\ I374 + 1 <= I365] 62.76/61.85 f11(I379, I380, I381, I382, I383, I384, I385, I386, I387) -> f9(I388, I389, I390, I391, I392, I393, I394, I395, I396) [I397 <= I398 - 1 /\ 0 <= I397 - 1 /\ 1 <= I398 - 1 /\ -1 <= I389 - 1 /\ I397 + 1 <= I398 /\ I388 <= I380 /\ 0 <= I379 - 1 /\ 0 <= I380 - 1 /\ 0 <= I388 - 1] 62.76/61.85 f11(I399, I400, I401, I402, I403, I404, I405, I406, I407) -> f12(I408, I409, I410, I411, I412, I413, I414, I415, I416) [I417 <= I418 - 1 /\ 0 <= I417 - 1 /\ I408 <= I399 /\ I408 - 1 <= I400 /\ I409 <= I400 /\ 0 <= I399 - 1 /\ -1 <= I400 - 1 /\ 0 <= I408 - 1 /\ -1 <= I409 - 1 /\ I417 + 1 = I410] 62.76/61.85 f12(I419, I420, I421, I422, I423, I424, I425, I426, I427) -> f9(I428, 0, I429, I430, I431, I432, I433, I434, I435) [I436 <= I421 /\ 0 <= I436 - 1 /\ 0 <= I421 - 1 /\ I428 <= I420 /\ 0 <= I419 - 1 /\ 0 <= I420 - 1 /\ 0 <= I428 - 1] 62.76/61.85 f8(I437, I438, I439, I440, I441, I442, I443, I444, I445) -> f11(I446, I447, I448, I449, I450, I451, I452, I453, I454) [-1 <= I455 - 1 /\ 0 <= I439 - 1 /\ I446 <= I437 /\ I446 - 1 <= I438 /\ I447 + 1 <= I437 /\ I447 <= I438 /\ 0 <= I437 - 1 /\ -1 <= I438 - 1 /\ 0 <= I446 - 1 /\ -1 <= I447 - 1] 62.76/61.85 f11(I456, I457, I458, I459, I460, I461, I462, I463, I464) -> f12(I465, I466, I467, I468, I469, I470, I471, I472, I473) [I465 <= I456 /\ I474 <= I467 /\ I465 - 1 <= I457 /\ I466 <= I457 /\ 0 <= I456 - 1 /\ -1 <= I457 - 1 /\ 0 <= I465 - 1 /\ -1 <= I466 - 1] 62.76/61.85 f8(I475, I476, I477, I478, I479, I480, I481, I482, I483) -> f8(I484, I485, I477, I478, I486, I487, I488, I489, I490) [-1 <= I485 - 1 /\ 0 <= I484 - 1 /\ 0 <= I476 - 1 /\ 0 <= I475 - 1 /\ I484 <= I476 /\ 0 <= I477 - 1 /\ I484 <= I475] 62.76/61.85 f10(I491, I492, I493, I494, I495, I496, I497, I498, I499) -> f9(I500, I493, I501, I502, I503, I504, I505, I506, I507) [I494 <= I508 /\ 0 <= I508 - 1 /\ 0 <= I494 - 1 /\ I500 <= I492 /\ 0 <= I491 - 1 /\ 1 <= I492 - 1 /\ 1 <= I500 - 1 /\ I495 + 2 <= I492] 62.76/61.85 f8(I509, I510, I511, I512, I513, I514, I515, I516, I517) -> f11(I518, I519, I520, I521, I522, I523, I524, I525, I526) [I518 <= I509 /\ -1 <= I527 - 1 /\ I518 - 1 <= I510 /\ I519 <= I510 /\ 0 <= I509 - 1 /\ -1 <= I510 - 1 /\ 0 <= I518 - 1 /\ -1 <= I519 - 1 /\ 0 = I511] 62.76/61.85 f7(I528, I529, I530, I531, I532, I533, I534, I535, I536) -> f10(I537, I538, I539, I540, I530, I541, I542, I543, I544) [I545 <= I546 - 1 /\ -1 <= I545 - 1 /\ -1 <= I539 - 1 /\ I537 <= I528 /\ I537 + 1 <= I529 /\ I538 <= I529 /\ 0 <= I528 - 1 /\ 1 <= I529 - 1 /\ 0 <= I537 - 1 /\ 1 <= I538 - 1 /\ I530 + 2 <= I529 /\ I545 + 1 = I540] 62.76/61.85 f7(I547, I548, I549, I550, I551, I552, I553, I554, I555) -> f10(I556, I557, 0, I558, I549, I559, I560, I561, I562) [I563 <= I564 - 1 /\ -1 <= I563 - 1 /\ I556 <= I547 /\ I556 + 1 <= I548 /\ I557 <= I548 /\ 0 <= I547 - 1 /\ 1 <= I548 - 1 /\ 0 <= I556 - 1 /\ 1 <= I557 - 1 /\ I549 + 2 <= I548 /\ I563 + 1 = I558] 62.76/61.85 f7(I565, I566, I567, I568, I569, I570, I571, I572, I573) -> f9(I574, 0, I575, I576, I577, I578, I579, I580, I581) [I574 <= I566 /\ I582 <= I583 /\ 0 <= I565 - 1 /\ 1 <= I566 - 1 /\ 1 <= I574 - 1 /\ I567 + 2 <= I566] 62.76/61.85 f4(I584, I585, I586, I587, I588, I589, I590, I591, I592) -> f8(I593, I594, I595, I596, I597, I598, I599, I600, I601) [I602 <= I603 - 1 /\ -1 <= I602 - 1 /\ 0 <= I603 - 1 /\ -1 <= I595 - 1 /\ I602 + 1 <= I603 /\ I593 <= I584 /\ I593 <= I585 /\ 0 <= I584 - 1 /\ 0 <= I585 - 1 /\ 0 <= I593 - 1 /\ 1 <= I594 - 1 /\ I602 + 1 = I596] 62.76/61.85 f6(I604, I605, I606, I607, I608, I609, I610, I611, I612) -> f7(I613, I614, I615, I616, I617, I618, I619, I620, I621) [I622 <= I606 /\ -1 <= I622 - 1 /\ I613 <= I604 /\ I613 <= I605 /\ 0 <= I604 - 1 /\ 0 <= I605 - 1 /\ 0 <= I613 - 1 /\ 1 <= I614 - 1] 62.76/61.85 f4(I623, I624, I625, I626, I627, I628, I629, I630, I631) -> f6(I632, I633, I634, I635, I636, I637, I638, I639, I640) [I641 <= I642 - 1 /\ -1 <= I641 - 1 /\ I632 <= I623 /\ I632 - 1 <= I624 /\ I633 <= I624 /\ 0 <= I623 - 1 /\ -1 <= I624 - 1 /\ 0 <= I632 - 1 /\ -1 <= I633 - 1 /\ I641 + 1 = I634] 62.76/61.85 f4(I643, I644, I645, I646, I647, I648, I649, I650, I651) -> f6(I652, I653, I654, I655, I656, I657, I658, I659, I660) [I652 <= I643 /\ I661 <= I654 /\ I652 - 1 <= I644 /\ I653 <= I644 /\ 0 <= I643 - 1 /\ -1 <= I644 - 1 /\ 0 <= I652 - 1 /\ -1 <= I653 - 1] 62.76/61.85 f5(I662, I663, I664, I665, I666, I667, I668, I669, I670) -> f4(I671, I672, I673, I674, I675, I676, I677, I678, I679) [I671 <= I662 /\ -1 <= I680 - 1 /\ I672 + 1 <= I662 /\ 0 <= I662 - 1 /\ 0 <= I671 - 1 /\ -1 <= I672 - 1] 62.76/61.85 f3(I681, I682, I683, I684, I685, I686, I687, I688, I689) -> f4(I690, I691, I692, I693, I694, I695, I696, I697, I698) [-1 <= I691 - 1 /\ 0 <= I690 - 1 /\ 0 <= I681 - 1 /\ -1 <= I682 - 1 /\ I690 <= I681] 62.76/61.85 f1(I699, I700, I701, I702, I703, I704, I705, I706, I707) -> f2(I708, I700, I709, I710, I703, I711, I704, I712, I705) [I705 + 2 <= I702 /\ I712 + 2 <= I701 /\ I704 + 4 <= I699 /\ I711 + 4 <= I699 /\ 2 <= I710 - 1 /\ 0 <= I709 - 1 /\ 4 <= I708 - 1 /\ 2 <= I702 - 1 /\ 0 <= I701 - 1 /\ 4 <= I699 - 1 /\ I710 <= I702 /\ I709 <= I701 /\ I708 <= I699] 62.76/61.85 62.76/64.82 EOF