123.41/122.21 MAYBE 123.41/122.21 123.41/122.21 DP problem for innermost termination. 123.41/122.21 P = 123.41/122.21 f20#(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18, x19) -> f19#(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18, x19) 123.41/122.21 f19#(I0, I1, I2, I3, I4, I5, I6, I7, I8, I9, I10, I11, I12, I13, I14, I15, I16, I17, I18) -> f1#(I0, I1, I2, 0, I4, I5, I6, I7, I8, I9, I10, I11, I12, I13, I14, 3, I16, I17, 3) 123.41/122.21 f11#(I19, I20, I21, I22, I23, I24, I25, I26, I27, I28, I29, I30, I31, I32, I33, I34, I35, I36, I37) -> f18#(I19, I20, I21, I22, I23, I24, I25, I26, I27, I28, I29, I30, I31, I32, I33, I34, I35, I36, I37) [I22 <= I34] 123.41/122.21 f11#(I38, I39, I40, I41, I42, I43, I44, I45, I46, I47, I48, I49, I50, I51, I52, I53, I54, I55, I56) -> f3#(I38, I39, I40, I41, I42, I43, I44, I56, I46, I47, I48, I49, I50, I51, I52, I53, I54, I55, I56) [1 + I53 <= I41] 123.41/122.21 f18#(I57, I58, I59, I60, I61, I62, I63, I64, I65, I66, I67, I68, I69, I70, I71, I72, I73, I74, I75) -> f2#(I57, I58, I59, I60, I61, I62, I63, I64, I65, I66, I67, I68, I69, I70, I71, I72, I73, I74, I72 + I75) [1 <= I72] 123.41/122.21 f18#(I76, I77, I78, I79, I80, I81, I82, I83, I84, I85, I86, I87, I88, I89, I90, I91, I92, I93, I94) -> f2#(I76, I77, I78, I79, I80, I81, I82, I83, I84, I85, I86, I87, I88, I89, I90, I91, I92, I93, I94) [I91 <= 0] 123.41/122.21 f3#(I95, I96, I97, I98, I99, I100, I101, I102, I103, I104, I105, I106, I107, I108, I109, I110, I111, I112, I113) -> f17#(I95, 0, I97, I98, rnd5, I100, I101, I102, I103, I104, I102, I106, I107, -3, I109, I110, 4, I112, I113) [rnd5 = I102] 123.41/122.21 f9#(I114, I115, I116, I117, I118, I119, I120, I121, I122, I123, I124, I125, I126, I127, I128, I129, I130, I131, I132) -> f10#(I114, I115, I116, I117, I118, I119, I120, I121, I122, I123, I124, I125, I126, I127, I128, I129, I130, I131, I132) 123.41/122.21 f17#(I133, I134, I135, I136, I137, I138, I139, I140, I141, I142, I143, I144, I145, I146, I147, I148, I149, I150, I151) -> f13#(I133, I134, I135, I136, I137, I138, I139, I140, I146, I142, I143, I144, I145, I146, I147, I148, I149, I150, I151) [I149 <= I146 /\ I146 <= I149] 123.41/122.21 f17#(I152, I153, I154, I155, I156, I157, I158, I159, I160, I161, I162, I163, I164, I165, I166, I167, I168, I169, I170) -> f14#(I152, I153, I154, I155, I156, I157, I158, I159, I160, I161, I162, I163, I164, I165, I166, I167, I168, I169, I170) [1 + I165 <= I168] 123.41/122.21 f17#(I171, I172, I173, I174, I175, I176, I177, I178, I179, I180, I181, I182, I183, I184, I185, I186, I187, I188, I189) -> f14#(I171, I172, I173, I174, I175, I176, I177, I178, I179, I180, I181, I182, I183, I184, I185, I186, I187, I188, I189) [1 + I187 <= I184] 123.41/122.21 f15#(I190, I191, I192, I193, I194, I195, I196, I197, I198, I199, I200, I201, I202, I203, I204, I205, I206, I207, I208) -> f16#(I190, I191, I192, I193, I194, I195, I196, I197, I198, I199, I200, I201, I202, I203, I204, I205, I206, I207, I208) [I191 <= I203] 123.41/122.21 f15#(I209, I210, I211, I212, I213, I214, I215, I216, I217, I218, I219, I220, I221, I222, I223, I224, I225, I226, I227) -> f13#(I209, I210, I211, I212, I213, I214, I215, I216, I225, I218, I219, I220, I221, I222, I223, I224, I225, I226, I227) [1 + I222 <= I210] 123.41/122.21 f16#(I228, I229, I230, I231, I232, I233, I234, I235, I236, I237, I238, I239, I240, I241, I242, I243, I244, I245, I246) -> f14#(I228, I229, I230, I231, I232, I233, I234, I235, I236, I237, I238, I239, I240, I241, I242, I243, I241 + I244, I245, I246) [1 <= I241] 123.41/122.21 f16#(I247, I248, I249, I250, I251, I252, I253, I254, I255, I256, I257, I258, I259, I260, I261, I262, I263, I264, I265) -> f14#(I247, I248, I249, I250, I251, I252, I253, I254, I255, I256, I257, I258, I259, I260, I261, I262, I263, I264, I265) [I260 <= 0] 123.41/122.21 f14#(I266, I267, I268, I269, I270, I271, I272, I273, I274, I275, I276, I277, I278, I279, I280, I281, I282, I283, I284) -> f15#(I266, I267, I268, I269, I270, I271, I272, I273, I274, I275, I276, I277, I278, I279, I280, I281, I282, I283, I284) 123.41/122.21 f13#(I285, I286, I287, I288, I289, I290, I291, I292, I293, I294, I295, I296, I297, I298, I299, I300, I301, I302, I303) -> f12#(I285, I286, 0, I288, I289, rnd6, I291, I292, I293, I294, I295, I293, I297, I298, 3, I300, I301, -1 * I285, I303) [rnd6 = I293] 123.41/122.21 f12#(I304, I305, I306, I307, I308, I309, I310, I311, I312, I313, I314, I315, I316, I317, I318, I319, I320, I321, I322) -> f7#(I304, I305, I306, I307, I308, I309, I310, I311, I312, I318, I314, I315, I316, I317, I318, I319, I320, I321, I322) [I321 <= I318 /\ I318 <= I321] 123.41/122.21 f12#(I323, I324, I325, I326, I327, I328, I329, I330, I331, I332, I333, I334, I335, I336, I337, I338, I339, I340, I341) -> f9#(I323, I324, I325, I326, I327, I328, I329, I330, I331, I332, I333, I334, I335, I336, I337, I338, I339, I340, I341) [1 + I337 <= I340] 123.41/122.21 f12#(I342, I343, I344, I345, I346, I347, I348, I349, I350, I351, I352, I353, I354, I355, I356, I357, I358, I359, I360) -> f9#(I342, I343, I344, I345, I346, I347, I348, I349, I350, I351, I352, I353, I354, I355, I356, I357, I358, I359, I360) [1 + I359 <= I356] 123.41/122.21 f2#(I361, I362, I363, I364, I365, I366, I367, I368, I369, I370, I371, I372, I373, I374, I375, I376, I377, I378, I379) -> f11#(I361, I362, I363, I364, I365, I366, I367, I368, I369, I370, I371, I372, I373, I374, I375, I376, I377, I378, I379) 123.41/122.21 f10#(I380, I381, I382, I383, I384, I385, I386, I387, I388, I389, I390, I391, I392, I393, I394, I395, I396, I397, I398) -> f8#(I380, I381, I382, I383, I384, I385, I386, I387, I388, I389, I390, I391, I392, I393, I394, I395, I396, I397, I398) [I382 <= I394] 123.41/122.21 f10#(I399, I400, I401, I402, I403, I404, I405, I406, I407, I408, I409, I410, I411, I412, I413, I414, I415, I416, I417) -> f7#(I399, I400, I401, I402, I403, I404, I405, I406, I407, I416, I409, I410, I411, I412, I413, I414, I415, I416, I417) [1 + I413 <= I401] 123.41/122.21 f8#(I418, I419, I420, I421, I422, I423, I424, I425, I426, I427, I428, I429, I430, I431, I432, I433, I434, I435, I436) -> f9#(I418, I419, I420, I421, I422, I423, I424, I425, I426, I427, I428, I429, I430, I431, I432, I433, I434, I432 + I435, I436) [1 <= I432] 123.41/122.21 f8#(I437, I438, I439, I440, I441, I442, I443, I444, I445, I446, I447, I448, I449, I450, I451, I452, I453, I454, I455) -> f9#(I437, I438, I439, I440, I441, I442, I443, I444, I445, I446, I447, I448, I449, I450, I451, I452, I453, I454, I455) [I451 <= 0] 123.41/122.21 f7#(I456, I457, I458, I459, I460, I461, I462, I463, I464, I465, I466, I467, I468, I469, I470, I471, I472, I473, I474) -> f6#(I456, I457, I458, I459, I460, I461, rnd7, I463, I464, I465, I466, I467, I465, I469, I470, I471, I472, I473, I474) [rnd7 = I465] 123.41/122.21 f6#(I475, I476, I477, I478, I479, I480, I481, I482, I483, I484, I485, I486, I487, I488, I489, I490, I491, I492, I493) -> f4#(I475, I476, I477, I478, I479, I480, I481, I482, I483, I484, I485, I486, I487, I488, I489, I490, I491, I492, I493) [5 <= I479] 123.41/122.21 f6#(I494, I495, I496, I497, I498, I499, I500, I501, I502, I503, I504, I505, I506, I507, I508, I509, I510, I511, I512) -> f4#(I494, I495, I496, I497, I498, I499, I500, I501, I502, I503, I504, I505, I506, I507, I508, I509, I510, I511, I512) [I498 <= 4] 123.41/122.21 f1#(I532, I533, I534, I535, I536, I537, I538, I539, I540, I541, I542, I543, I544, I545, I546, I547, I548, I549, I550) -> f3#(I532, I533, I534, I535, I536, I537, I538, I547, I540, I541, I542, I543, I544, I545, I546, I547, I548, I549, I550) [I550 <= I547 /\ I547 <= I550] 123.41/122.21 f1#(I551, I552, I553, I554, I555, I556, I557, I558, I559, I560, I561, I562, I563, I564, I565, I566, I567, I568, I569) -> f2#(I551, I552, I553, I554, I555, I556, I557, I558, I559, I560, I561, I562, I563, I564, I565, I566, I567, I568, I569) [1 + I566 <= I569] 123.41/122.21 f1#(I570, I571, I572, I573, I574, I575, I576, I577, I578, I579, I580, I581, I582, I583, I584, I585, I586, I587, I588) -> f2#(I570, I571, I572, I573, I574, I575, I576, I577, I578, I579, I580, I581, I582, I583, I584, I585, I586, I587, I588) [1 + I588 <= I585] 123.41/122.21 R = 123.41/122.21 f20(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18, x19) -> f19(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18, x19) 123.41/122.21 f19(I0, I1, I2, I3, I4, I5, I6, I7, I8, I9, I10, I11, I12, I13, I14, I15, I16, I17, I18) -> f1(I0, I1, I2, 0, I4, I5, I6, I7, I8, I9, I10, I11, I12, I13, I14, 3, I16, I17, 3) 123.41/122.21 f11(I19, I20, I21, I22, I23, I24, I25, I26, I27, I28, I29, I30, I31, I32, I33, I34, I35, I36, I37) -> f18(I19, I20, I21, I22, I23, I24, I25, I26, I27, I28, I29, I30, I31, I32, I33, I34, I35, I36, I37) [I22 <= I34] 123.41/122.21 f11(I38, I39, I40, I41, I42, I43, I44, I45, I46, I47, I48, I49, I50, I51, I52, I53, I54, I55, I56) -> f3(I38, I39, I40, I41, I42, I43, I44, I56, I46, I47, I48, I49, I50, I51, I52, I53, I54, I55, I56) [1 + I53 <= I41] 123.41/122.21 f18(I57, I58, I59, I60, I61, I62, I63, I64, I65, I66, I67, I68, I69, I70, I71, I72, I73, I74, I75) -> f2(I57, I58, I59, I60, I61, I62, I63, I64, I65, I66, I67, I68, I69, I70, I71, I72, I73, I74, I72 + I75) [1 <= I72] 123.41/122.21 f18(I76, I77, I78, I79, I80, I81, I82, I83, I84, I85, I86, I87, I88, I89, I90, I91, I92, I93, I94) -> f2(I76, I77, I78, I79, I80, I81, I82, I83, I84, I85, I86, I87, I88, I89, I90, I91, I92, I93, I94) [I91 <= 0] 123.41/122.21 f3(I95, I96, I97, I98, I99, I100, I101, I102, I103, I104, I105, I106, I107, I108, I109, I110, I111, I112, I113) -> f17(I95, 0, I97, I98, rnd5, I100, I101, I102, I103, I104, I102, I106, I107, -3, I109, I110, 4, I112, I113) [rnd5 = I102] 123.41/122.21 f9(I114, I115, I116, I117, I118, I119, I120, I121, I122, I123, I124, I125, I126, I127, I128, I129, I130, I131, I132) -> f10(I114, I115, I116, I117, I118, I119, I120, I121, I122, I123, I124, I125, I126, I127, I128, I129, I130, I131, I132) 123.41/122.21 f17(I133, I134, I135, I136, I137, I138, I139, I140, I141, I142, I143, I144, I145, I146, I147, I148, I149, I150, I151) -> f13(I133, I134, I135, I136, I137, I138, I139, I140, I146, I142, I143, I144, I145, I146, I147, I148, I149, I150, I151) [I149 <= I146 /\ I146 <= I149] 123.41/122.21 f17(I152, I153, I154, I155, I156, I157, I158, I159, I160, I161, I162, I163, I164, I165, I166, I167, I168, I169, I170) -> f14(I152, I153, I154, I155, I156, I157, I158, I159, I160, I161, I162, I163, I164, I165, I166, I167, I168, I169, I170) [1 + I165 <= I168] 123.41/122.21 f17(I171, I172, I173, I174, I175, I176, I177, I178, I179, I180, I181, I182, I183, I184, I185, I186, I187, I188, I189) -> f14(I171, I172, I173, I174, I175, I176, I177, I178, I179, I180, I181, I182, I183, I184, I185, I186, I187, I188, I189) [1 + I187 <= I184] 123.41/122.21 f15(I190, I191, I192, I193, I194, I195, I196, I197, I198, I199, I200, I201, I202, I203, I204, I205, I206, I207, I208) -> f16(I190, I191, I192, I193, I194, I195, I196, I197, I198, I199, I200, I201, I202, I203, I204, I205, I206, I207, I208) [I191 <= I203] 123.41/122.21 f15(I209, I210, I211, I212, I213, I214, I215, I216, I217, I218, I219, I220, I221, I222, I223, I224, I225, I226, I227) -> f13(I209, I210, I211, I212, I213, I214, I215, I216, I225, I218, I219, I220, I221, I222, I223, I224, I225, I226, I227) [1 + I222 <= I210] 123.41/122.21 f16(I228, I229, I230, I231, I232, I233, I234, I235, I236, I237, I238, I239, I240, I241, I242, I243, I244, I245, I246) -> f14(I228, I229, I230, I231, I232, I233, I234, I235, I236, I237, I238, I239, I240, I241, I242, I243, I241 + I244, I245, I246) [1 <= I241] 123.41/122.21 f16(I247, I248, I249, I250, I251, I252, I253, I254, I255, I256, I257, I258, I259, I260, I261, I262, I263, I264, I265) -> f14(I247, I248, I249, I250, I251, I252, I253, I254, I255, I256, I257, I258, I259, I260, I261, I262, I263, I264, I265) [I260 <= 0] 123.41/122.21 f14(I266, I267, I268, I269, I270, I271, I272, I273, I274, I275, I276, I277, I278, I279, I280, I281, I282, I283, I284) -> f15(I266, I267, I268, I269, I270, I271, I272, I273, I274, I275, I276, I277, I278, I279, I280, I281, I282, I283, I284) 123.41/122.21 f13(I285, I286, I287, I288, I289, I290, I291, I292, I293, I294, I295, I296, I297, I298, I299, I300, I301, I302, I303) -> f12(I285, I286, 0, I288, I289, rnd6, I291, I292, I293, I294, I295, I293, I297, I298, 3, I300, I301, -1 * I285, I303) [rnd6 = I293] 123.41/122.21 f12(I304, I305, I306, I307, I308, I309, I310, I311, I312, I313, I314, I315, I316, I317, I318, I319, I320, I321, I322) -> f7(I304, I305, I306, I307, I308, I309, I310, I311, I312, I318, I314, I315, I316, I317, I318, I319, I320, I321, I322) [I321 <= I318 /\ I318 <= I321] 123.41/122.21 f12(I323, I324, I325, I326, I327, I328, I329, I330, I331, I332, I333, I334, I335, I336, I337, I338, I339, I340, I341) -> f9(I323, I324, I325, I326, I327, I328, I329, I330, I331, I332, I333, I334, I335, I336, I337, I338, I339, I340, I341) [1 + I337 <= I340] 123.41/122.21 f12(I342, I343, I344, I345, I346, I347, I348, I349, I350, I351, I352, I353, I354, I355, I356, I357, I358, I359, I360) -> f9(I342, I343, I344, I345, I346, I347, I348, I349, I350, I351, I352, I353, I354, I355, I356, I357, I358, I359, I360) [1 + I359 <= I356] 123.41/122.21 f2(I361, I362, I363, I364, I365, I366, I367, I368, I369, I370, I371, I372, I373, I374, I375, I376, I377, I378, I379) -> f11(I361, I362, I363, I364, I365, I366, I367, I368, I369, I370, I371, I372, I373, I374, I375, I376, I377, I378, I379) 123.41/122.21 f10(I380, I381, I382, I383, I384, I385, I386, I387, I388, I389, I390, I391, I392, I393, I394, I395, I396, I397, I398) -> f8(I380, I381, I382, I383, I384, I385, I386, I387, I388, I389, I390, I391, I392, I393, I394, I395, I396, I397, I398) [I382 <= I394] 123.41/122.21 f10(I399, I400, I401, I402, I403, I404, I405, I406, I407, I408, I409, I410, I411, I412, I413, I414, I415, I416, I417) -> f7(I399, I400, I401, I402, I403, I404, I405, I406, I407, I416, I409, I410, I411, I412, I413, I414, I415, I416, I417) [1 + I413 <= I401] 123.41/122.21 f8(I418, I419, I420, I421, I422, I423, I424, I425, I426, I427, I428, I429, I430, I431, I432, I433, I434, I435, I436) -> f9(I418, I419, I420, I421, I422, I423, I424, I425, I426, I427, I428, I429, I430, I431, I432, I433, I434, I432 + I435, I436) [1 <= I432] 123.41/122.21 f8(I437, I438, I439, I440, I441, I442, I443, I444, I445, I446, I447, I448, I449, I450, I451, I452, I453, I454, I455) -> f9(I437, I438, I439, I440, I441, I442, I443, I444, I445, I446, I447, I448, I449, I450, I451, I452, I453, I454, I455) [I451 <= 0] 123.41/122.21 f7(I456, I457, I458, I459, I460, I461, I462, I463, I464, I465, I466, I467, I468, I469, I470, I471, I472, I473, I474) -> f6(I456, I457, I458, I459, I460, I461, rnd7, I463, I464, I465, I466, I467, I465, I469, I470, I471, I472, I473, I474) [rnd7 = I465] 123.41/122.21 f6(I475, I476, I477, I478, I479, I480, I481, I482, I483, I484, I485, I486, I487, I488, I489, I490, I491, I492, I493) -> f4(I475, I476, I477, I478, I479, I480, I481, I482, I483, I484, I485, I486, I487, I488, I489, I490, I491, I492, I493) [5 <= I479] 123.41/122.21 f6(I494, I495, I496, I497, I498, I499, I500, I501, I502, I503, I504, I505, I506, I507, I508, I509, I510, I511, I512) -> f4(I494, I495, I496, I497, I498, I499, I500, I501, I502, I503, I504, I505, I506, I507, I508, I509, I510, I511, I512) [I498 <= 4] 123.41/122.21 f4(I513, I514, I515, I516, I517, I518, I519, I520, I521, I522, I523, I524, I525, I526, I527, I528, I529, I530, I531) -> f5(I513, I514, I515, I516, I517, I518, I519, I520, I521, I522, I523, I524, I525, I526, I527, I528, I529, I530, I531) 123.41/122.21 f1(I532, I533, I534, I535, I536, I537, I538, I539, I540, I541, I542, I543, I544, I545, I546, I547, I548, I549, I550) -> f3(I532, I533, I534, I535, I536, I537, I538, I547, I540, I541, I542, I543, I544, I545, I546, I547, I548, I549, I550) [I550 <= I547 /\ I547 <= I550] 123.41/122.21 f1(I551, I552, I553, I554, I555, I556, I557, I558, I559, I560, I561, I562, I563, I564, I565, I566, I567, I568, I569) -> f2(I551, I552, I553, I554, I555, I556, I557, I558, I559, I560, I561, I562, I563, I564, I565, I566, I567, I568, I569) [1 + I566 <= I569] 123.41/122.21 f1(I570, I571, I572, I573, I574, I575, I576, I577, I578, I579, I580, I581, I582, I583, I584, I585, I586, I587, I588) -> f2(I570, I571, I572, I573, I574, I575, I576, I577, I578, I579, I580, I581, I582, I583, I584, I585, I586, I587, I588) [1 + I588 <= I585] 123.41/122.21 123.41/122.21 The dependency graph for this problem is: 123.41/122.21 0 -> 1 123.41/122.21 1 -> 28 123.41/122.21 2 -> 4, 5 123.41/122.21 3 -> 6 123.41/122.21 4 -> 20 123.41/122.21 5 -> 20 123.41/122.21 6 -> 9 123.41/122.21 7 -> 21, 22 123.41/122.21 8 -> 16 123.41/122.21 9 -> 15 123.41/122.21 10 -> 15 123.41/122.21 11 -> 13, 14 123.41/122.21 12 -> 16 123.41/122.21 13 -> 15 123.41/122.21 14 -> 15 123.41/122.21 15 -> 11, 12 123.41/122.21 16 -> 17, 18, 19 123.41/122.21 17 -> 25 123.41/122.21 18 -> 7 123.41/122.21 19 -> 7 123.41/122.21 20 -> 2, 3 123.41/122.21 21 -> 23, 24 123.41/122.21 22 -> 25 123.41/122.21 23 -> 7 123.41/122.21 24 -> 7 123.41/122.21 25 -> 26, 27 123.41/122.21 26 -> 123.41/122.21 27 -> 123.41/122.21 28 -> 6 123.41/122.21 29 -> 20 123.41/122.21 30 -> 20 123.41/122.21 Where: 123.41/122.21 0) f20#(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18, x19) -> f19#(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18, x19) 123.41/122.21 1) f19#(I0, I1, I2, I3, I4, I5, I6, I7, I8, I9, I10, I11, I12, I13, I14, I15, I16, I17, I18) -> f1#(I0, I1, I2, 0, I4, I5, I6, I7, I8, I9, I10, I11, I12, I13, I14, 3, I16, I17, 3) 123.41/122.21 2) f11#(I19, I20, I21, I22, I23, I24, I25, I26, I27, I28, I29, I30, I31, I32, I33, I34, I35, I36, I37) -> f18#(I19, I20, I21, I22, I23, I24, I25, I26, I27, I28, I29, I30, I31, I32, I33, I34, I35, I36, I37) [I22 <= I34] 123.41/122.21 3) f11#(I38, I39, I40, I41, I42, I43, I44, I45, I46, I47, I48, I49, I50, I51, I52, I53, I54, I55, I56) -> f3#(I38, I39, I40, I41, I42, I43, I44, I56, I46, I47, I48, I49, I50, I51, I52, I53, I54, I55, I56) [1 + I53 <= I41] 123.41/122.21 4) f18#(I57, I58, I59, I60, I61, I62, I63, I64, I65, I66, I67, I68, I69, I70, I71, I72, I73, I74, I75) -> f2#(I57, I58, I59, I60, I61, I62, I63, I64, I65, I66, I67, I68, I69, I70, I71, I72, I73, I74, I72 + I75) [1 <= I72] 123.41/122.21 5) f18#(I76, I77, I78, I79, I80, I81, I82, I83, I84, I85, I86, I87, I88, I89, I90, I91, I92, I93, I94) -> f2#(I76, I77, I78, I79, I80, I81, I82, I83, I84, I85, I86, I87, I88, I89, I90, I91, I92, I93, I94) [I91 <= 0] 123.41/122.21 6) f3#(I95, I96, I97, I98, I99, I100, I101, I102, I103, I104, I105, I106, I107, I108, I109, I110, I111, I112, I113) -> f17#(I95, 0, I97, I98, rnd5, I100, I101, I102, I103, I104, I102, I106, I107, -3, I109, I110, 4, I112, I113) [rnd5 = I102] 123.41/122.21 7) f9#(I114, I115, I116, I117, I118, I119, I120, I121, I122, I123, I124, I125, I126, I127, I128, I129, I130, I131, I132) -> f10#(I114, I115, I116, I117, I118, I119, I120, I121, I122, I123, I124, I125, I126, I127, I128, I129, I130, I131, I132) 123.41/122.21 8) f17#(I133, I134, I135, I136, I137, I138, I139, I140, I141, I142, I143, I144, I145, I146, I147, I148, I149, I150, I151) -> f13#(I133, I134, I135, I136, I137, I138, I139, I140, I146, I142, I143, I144, I145, I146, I147, I148, I149, I150, I151) [I149 <= I146 /\ I146 <= I149] 123.41/122.21 9) f17#(I152, I153, I154, I155, I156, I157, I158, I159, I160, I161, I162, I163, I164, I165, I166, I167, I168, I169, I170) -> f14#(I152, I153, I154, I155, I156, I157, I158, I159, I160, I161, I162, I163, I164, I165, I166, I167, I168, I169, I170) [1 + I165 <= I168] 123.41/122.21 10) f17#(I171, I172, I173, I174, I175, I176, I177, I178, I179, I180, I181, I182, I183, I184, I185, I186, I187, I188, I189) -> f14#(I171, I172, I173, I174, I175, I176, I177, I178, I179, I180, I181, I182, I183, I184, I185, I186, I187, I188, I189) [1 + I187 <= I184] 123.41/122.21 11) f15#(I190, I191, I192, I193, I194, I195, I196, I197, I198, I199, I200, I201, I202, I203, I204, I205, I206, I207, I208) -> f16#(I190, I191, I192, I193, I194, I195, I196, I197, I198, I199, I200, I201, I202, I203, I204, I205, I206, I207, I208) [I191 <= I203] 123.41/122.21 12) f15#(I209, I210, I211, I212, I213, I214, I215, I216, I217, I218, I219, I220, I221, I222, I223, I224, I225, I226, I227) -> f13#(I209, I210, I211, I212, I213, I214, I215, I216, I225, I218, I219, I220, I221, I222, I223, I224, I225, I226, I227) [1 + I222 <= I210] 123.41/122.21 13) f16#(I228, I229, I230, I231, I232, I233, I234, I235, I236, I237, I238, I239, I240, I241, I242, I243, I244, I245, I246) -> f14#(I228, I229, I230, I231, I232, I233, I234, I235, I236, I237, I238, I239, I240, I241, I242, I243, I241 + I244, I245, I246) [1 <= I241] 123.41/122.21 14) f16#(I247, I248, I249, I250, I251, I252, I253, I254, I255, I256, I257, I258, I259, I260, I261, I262, I263, I264, I265) -> f14#(I247, I248, I249, I250, I251, I252, I253, I254, I255, I256, I257, I258, I259, I260, I261, I262, I263, I264, I265) [I260 <= 0] 123.41/122.21 15) f14#(I266, I267, I268, I269, I270, I271, I272, I273, I274, I275, I276, I277, I278, I279, I280, I281, I282, I283, I284) -> f15#(I266, I267, I268, I269, I270, I271, I272, I273, I274, I275, I276, I277, I278, I279, I280, I281, I282, I283, I284) 123.41/122.21 16) f13#(I285, I286, I287, I288, I289, I290, I291, I292, I293, I294, I295, I296, I297, I298, I299, I300, I301, I302, I303) -> f12#(I285, I286, 0, I288, I289, rnd6, I291, I292, I293, I294, I295, I293, I297, I298, 3, I300, I301, -1 * I285, I303) [rnd6 = I293] 123.41/122.21 17) f12#(I304, I305, I306, I307, I308, I309, I310, I311, I312, I313, I314, I315, I316, I317, I318, I319, I320, I321, I322) -> f7#(I304, I305, I306, I307, I308, I309, I310, I311, I312, I318, I314, I315, I316, I317, I318, I319, I320, I321, I322) [I321 <= I318 /\ I318 <= I321] 123.41/122.21 18) f12#(I323, I324, I325, I326, I327, I328, I329, I330, I331, I332, I333, I334, I335, I336, I337, I338, I339, I340, I341) -> f9#(I323, I324, I325, I326, I327, I328, I329, I330, I331, I332, I333, I334, I335, I336, I337, I338, I339, I340, I341) [1 + I337 <= I340] 123.41/122.21 19) f12#(I342, I343, I344, I345, I346, I347, I348, I349, I350, I351, I352, I353, I354, I355, I356, I357, I358, I359, I360) -> f9#(I342, I343, I344, I345, I346, I347, I348, I349, I350, I351, I352, I353, I354, I355, I356, I357, I358, I359, I360) [1 + I359 <= I356] 123.41/122.21 20) f2#(I361, I362, I363, I364, I365, I366, I367, I368, I369, I370, I371, I372, I373, I374, I375, I376, I377, I378, I379) -> f11#(I361, I362, I363, I364, I365, I366, I367, I368, I369, I370, I371, I372, I373, I374, I375, I376, I377, I378, I379) 123.41/122.21 21) f10#(I380, I381, I382, I383, I384, I385, I386, I387, I388, I389, I390, I391, I392, I393, I394, I395, I396, I397, I398) -> f8#(I380, I381, I382, I383, I384, I385, I386, I387, I388, I389, I390, I391, I392, I393, I394, I395, I396, I397, I398) [I382 <= I394] 123.41/122.21 22) f10#(I399, I400, I401, I402, I403, I404, I405, I406, I407, I408, I409, I410, I411, I412, I413, I414, I415, I416, I417) -> f7#(I399, I400, I401, I402, I403, I404, I405, I406, I407, I416, I409, I410, I411, I412, I413, I414, I415, I416, I417) [1 + I413 <= I401] 123.41/122.21 23) f8#(I418, I419, I420, I421, I422, I423, I424, I425, I426, I427, I428, I429, I430, I431, I432, I433, I434, I435, I436) -> f9#(I418, I419, I420, I421, I422, I423, I424, I425, I426, I427, I428, I429, I430, I431, I432, I433, I434, I432 + I435, I436) [1 <= I432] 123.41/122.21 24) f8#(I437, I438, I439, I440, I441, I442, I443, I444, I445, I446, I447, I448, I449, I450, I451, I452, I453, I454, I455) -> f9#(I437, I438, I439, I440, I441, I442, I443, I444, I445, I446, I447, I448, I449, I450, I451, I452, I453, I454, I455) [I451 <= 0] 123.41/122.21 25) f7#(I456, I457, I458, I459, I460, I461, I462, I463, I464, I465, I466, I467, I468, I469, I470, I471, I472, I473, I474) -> f6#(I456, I457, I458, I459, I460, I461, rnd7, I463, I464, I465, I466, I467, I465, I469, I470, I471, I472, I473, I474) [rnd7 = I465] 123.41/122.21 26) f6#(I475, I476, I477, I478, I479, I480, I481, I482, I483, I484, I485, I486, I487, I488, I489, I490, I491, I492, I493) -> f4#(I475, I476, I477, I478, I479, I480, I481, I482, I483, I484, I485, I486, I487, I488, I489, I490, I491, I492, I493) [5 <= I479] 123.41/122.21 27) f6#(I494, I495, I496, I497, I498, I499, I500, I501, I502, I503, I504, I505, I506, I507, I508, I509, I510, I511, I512) -> f4#(I494, I495, I496, I497, I498, I499, I500, I501, I502, I503, I504, I505, I506, I507, I508, I509, I510, I511, I512) [I498 <= 4] 123.41/122.21 28) f1#(I532, I533, I534, I535, I536, I537, I538, I539, I540, I541, I542, I543, I544, I545, I546, I547, I548, I549, I550) -> f3#(I532, I533, I534, I535, I536, I537, I538, I547, I540, I541, I542, I543, I544, I545, I546, I547, I548, I549, I550) [I550 <= I547 /\ I547 <= I550] 123.41/122.21 29) f1#(I551, I552, I553, I554, I555, I556, I557, I558, I559, I560, I561, I562, I563, I564, I565, I566, I567, I568, I569) -> f2#(I551, I552, I553, I554, I555, I556, I557, I558, I559, I560, I561, I562, I563, I564, I565, I566, I567, I568, I569) [1 + I566 <= I569] 123.41/122.21 30) f1#(I570, I571, I572, I573, I574, I575, I576, I577, I578, I579, I580, I581, I582, I583, I584, I585, I586, I587, I588) -> f2#(I570, I571, I572, I573, I574, I575, I576, I577, I578, I579, I580, I581, I582, I583, I584, I585, I586, I587, I588) [1 + I588 <= I585] 123.41/122.21 123.41/122.21 We have the following SCCs. 123.41/122.21 { 2, 4, 5, 20 } 123.41/122.21 { 11, 13, 14, 15 } 123.41/122.21 { 7, 21, 23, 24 } 123.41/122.21 123.41/122.21 DP problem for innermost termination. 123.41/122.21 P = 123.41/122.21 f9#(I114, I115, I116, I117, I118, I119, I120, I121, I122, I123, I124, I125, I126, I127, I128, I129, I130, I131, I132) -> f10#(I114, I115, I116, I117, I118, I119, I120, I121, I122, I123, I124, I125, I126, I127, I128, I129, I130, I131, I132) 123.41/122.21 f10#(I380, I381, I382, I383, I384, I385, I386, I387, I388, I389, I390, I391, I392, I393, I394, I395, I396, I397, I398) -> f8#(I380, I381, I382, I383, I384, I385, I386, I387, I388, I389, I390, I391, I392, I393, I394, I395, I396, I397, I398) [I382 <= I394] 123.41/122.21 f8#(I418, I419, I420, I421, I422, I423, I424, I425, I426, I427, I428, I429, I430, I431, I432, I433, I434, I435, I436) -> f9#(I418, I419, I420, I421, I422, I423, I424, I425, I426, I427, I428, I429, I430, I431, I432, I433, I434, I432 + I435, I436) [1 <= I432] 123.41/122.21 f8#(I437, I438, I439, I440, I441, I442, I443, I444, I445, I446, I447, I448, I449, I450, I451, I452, I453, I454, I455) -> f9#(I437, I438, I439, I440, I441, I442, I443, I444, I445, I446, I447, I448, I449, I450, I451, I452, I453, I454, I455) [I451 <= 0] 123.41/122.21 R = 123.41/122.21 f20(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18, x19) -> f19(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18, x19) 123.41/122.21 f19(I0, I1, I2, I3, I4, I5, I6, I7, I8, I9, I10, I11, I12, I13, I14, I15, I16, I17, I18) -> f1(I0, I1, I2, 0, I4, I5, I6, I7, I8, I9, I10, I11, I12, I13, I14, 3, I16, I17, 3) 123.41/122.21 f11(I19, I20, I21, I22, I23, I24, I25, I26, I27, I28, I29, I30, I31, I32, I33, I34, I35, I36, I37) -> f18(I19, I20, I21, I22, I23, I24, I25, I26, I27, I28, I29, I30, I31, I32, I33, I34, I35, I36, I37) [I22 <= I34] 123.41/122.21 f11(I38, I39, I40, I41, I42, I43, I44, I45, I46, I47, I48, I49, I50, I51, I52, I53, I54, I55, I56) -> f3(I38, I39, I40, I41, I42, I43, I44, I56, I46, I47, I48, I49, I50, I51, I52, I53, I54, I55, I56) [1 + I53 <= I41] 123.41/122.21 f18(I57, I58, I59, I60, I61, I62, I63, I64, I65, I66, I67, I68, I69, I70, I71, I72, I73, I74, I75) -> f2(I57, I58, I59, I60, I61, I62, I63, I64, I65, I66, I67, I68, I69, I70, I71, I72, I73, I74, I72 + I75) [1 <= I72] 123.41/122.21 f18(I76, I77, I78, I79, I80, I81, I82, I83, I84, I85, I86, I87, I88, I89, I90, I91, I92, I93, I94) -> f2(I76, I77, I78, I79, I80, I81, I82, I83, I84, I85, I86, I87, I88, I89, I90, I91, I92, I93, I94) [I91 <= 0] 123.41/122.21 f3(I95, I96, I97, I98, I99, I100, I101, I102, I103, I104, I105, I106, I107, I108, I109, I110, I111, I112, I113) -> f17(I95, 0, I97, I98, rnd5, I100, I101, I102, I103, I104, I102, I106, I107, -3, I109, I110, 4, I112, I113) [rnd5 = I102] 123.41/122.21 f9(I114, I115, I116, I117, I118, I119, I120, I121, I122, I123, I124, I125, I126, I127, I128, I129, I130, I131, I132) -> f10(I114, I115, I116, I117, I118, I119, I120, I121, I122, I123, I124, I125, I126, I127, I128, I129, I130, I131, I132) 123.41/122.21 f17(I133, I134, I135, I136, I137, I138, I139, I140, I141, I142, I143, I144, I145, I146, I147, I148, I149, I150, I151) -> f13(I133, I134, I135, I136, I137, I138, I139, I140, I146, I142, I143, I144, I145, I146, I147, I148, I149, I150, I151) [I149 <= I146 /\ I146 <= I149] 123.41/122.21 f17(I152, I153, I154, I155, I156, I157, I158, I159, I160, I161, I162, I163, I164, I165, I166, I167, I168, I169, I170) -> f14(I152, I153, I154, I155, I156, I157, I158, I159, I160, I161, I162, I163, I164, I165, I166, I167, I168, I169, I170) [1 + I165 <= I168] 123.41/122.21 f17(I171, I172, I173, I174, I175, I176, I177, I178, I179, I180, I181, I182, I183, I184, I185, I186, I187, I188, I189) -> f14(I171, I172, I173, I174, I175, I176, I177, I178, I179, I180, I181, I182, I183, I184, I185, I186, I187, I188, I189) [1 + I187 <= I184] 123.41/122.21 f15(I190, I191, I192, I193, I194, I195, I196, I197, I198, I199, I200, I201, I202, I203, I204, I205, I206, I207, I208) -> f16(I190, I191, I192, I193, I194, I195, I196, I197, I198, I199, I200, I201, I202, I203, I204, I205, I206, I207, I208) [I191 <= I203] 123.41/122.21 f15(I209, I210, I211, I212, I213, I214, I215, I216, I217, I218, I219, I220, I221, I222, I223, I224, I225, I226, I227) -> f13(I209, I210, I211, I212, I213, I214, I215, I216, I225, I218, I219, I220, I221, I222, I223, I224, I225, I226, I227) [1 + I222 <= I210] 123.41/122.21 f16(I228, I229, I230, I231, I232, I233, I234, I235, I236, I237, I238, I239, I240, I241, I242, I243, I244, I245, I246) -> f14(I228, I229, I230, I231, I232, I233, I234, I235, I236, I237, I238, I239, I240, I241, I242, I243, I241 + I244, I245, I246) [1 <= I241] 123.41/122.21 f16(I247, I248, I249, I250, I251, I252, I253, I254, I255, I256, I257, I258, I259, I260, I261, I262, I263, I264, I265) -> f14(I247, I248, I249, I250, I251, I252, I253, I254, I255, I256, I257, I258, I259, I260, I261, I262, I263, I264, I265) [I260 <= 0] 123.41/122.21 f14(I266, I267, I268, I269, I270, I271, I272, I273, I274, I275, I276, I277, I278, I279, I280, I281, I282, I283, I284) -> f15(I266, I267, I268, I269, I270, I271, I272, I273, I274, I275, I276, I277, I278, I279, I280, I281, I282, I283, I284) 123.41/122.21 f13(I285, I286, I287, I288, I289, I290, I291, I292, I293, I294, I295, I296, I297, I298, I299, I300, I301, I302, I303) -> f12(I285, I286, 0, I288, I289, rnd6, I291, I292, I293, I294, I295, I293, I297, I298, 3, I300, I301, -1 * I285, I303) [rnd6 = I293] 123.41/122.21 f12(I304, I305, I306, I307, I308, I309, I310, I311, I312, I313, I314, I315, I316, I317, I318, I319, I320, I321, I322) -> f7(I304, I305, I306, I307, I308, I309, I310, I311, I312, I318, I314, I315, I316, I317, I318, I319, I320, I321, I322) [I321 <= I318 /\ I318 <= I321] 123.41/122.21 f12(I323, I324, I325, I326, I327, I328, I329, I330, I331, I332, I333, I334, I335, I336, I337, I338, I339, I340, I341) -> f9(I323, I324, I325, I326, I327, I328, I329, I330, I331, I332, I333, I334, I335, I336, I337, I338, I339, I340, I341) [1 + I337 <= I340] 123.41/122.21 f12(I342, I343, I344, I345, I346, I347, I348, I349, I350, I351, I352, I353, I354, I355, I356, I357, I358, I359, I360) -> f9(I342, I343, I344, I345, I346, I347, I348, I349, I350, I351, I352, I353, I354, I355, I356, I357, I358, I359, I360) [1 + I359 <= I356] 123.41/122.21 f2(I361, I362, I363, I364, I365, I366, I367, I368, I369, I370, I371, I372, I373, I374, I375, I376, I377, I378, I379) -> f11(I361, I362, I363, I364, I365, I366, I367, I368, I369, I370, I371, I372, I373, I374, I375, I376, I377, I378, I379) 123.41/122.21 f10(I380, I381, I382, I383, I384, I385, I386, I387, I388, I389, I390, I391, I392, I393, I394, I395, I396, I397, I398) -> f8(I380, I381, I382, I383, I384, I385, I386, I387, I388, I389, I390, I391, I392, I393, I394, I395, I396, I397, I398) [I382 <= I394] 123.41/122.21 f10(I399, I400, I401, I402, I403, I404, I405, I406, I407, I408, I409, I410, I411, I412, I413, I414, I415, I416, I417) -> f7(I399, I400, I401, I402, I403, I404, I405, I406, I407, I416, I409, I410, I411, I412, I413, I414, I415, I416, I417) [1 + I413 <= I401] 123.41/122.21 f8(I418, I419, I420, I421, I422, I423, I424, I425, I426, I427, I428, I429, I430, I431, I432, I433, I434, I435, I436) -> f9(I418, I419, I420, I421, I422, I423, I424, I425, I426, I427, I428, I429, I430, I431, I432, I433, I434, I432 + I435, I436) [1 <= I432] 123.41/122.21 f8(I437, I438, I439, I440, I441, I442, I443, I444, I445, I446, I447, I448, I449, I450, I451, I452, I453, I454, I455) -> f9(I437, I438, I439, I440, I441, I442, I443, I444, I445, I446, I447, I448, I449, I450, I451, I452, I453, I454, I455) [I451 <= 0] 123.41/122.21 f7(I456, I457, I458, I459, I460, I461, I462, I463, I464, I465, I466, I467, I468, I469, I470, I471, I472, I473, I474) -> f6(I456, I457, I458, I459, I460, I461, rnd7, I463, I464, I465, I466, I467, I465, I469, I470, I471, I472, I473, I474) [rnd7 = I465] 123.41/122.21 f6(I475, I476, I477, I478, I479, I480, I481, I482, I483, I484, I485, I486, I487, I488, I489, I490, I491, I492, I493) -> f4(I475, I476, I477, I478, I479, I480, I481, I482, I483, I484, I485, I486, I487, I488, I489, I490, I491, I492, I493) [5 <= I479] 123.41/122.21 f6(I494, I495, I496, I497, I498, I499, I500, I501, I502, I503, I504, I505, I506, I507, I508, I509, I510, I511, I512) -> f4(I494, I495, I496, I497, I498, I499, I500, I501, I502, I503, I504, I505, I506, I507, I508, I509, I510, I511, I512) [I498 <= 4] 123.41/122.21 f4(I513, I514, I515, I516, I517, I518, I519, I520, I521, I522, I523, I524, I525, I526, I527, I528, I529, I530, I531) -> f5(I513, I514, I515, I516, I517, I518, I519, I520, I521, I522, I523, I524, I525, I526, I527, I528, I529, I530, I531) 123.41/122.21 f1(I532, I533, I534, I535, I536, I537, I538, I539, I540, I541, I542, I543, I544, I545, I546, I547, I548, I549, I550) -> f3(I532, I533, I534, I535, I536, I537, I538, I547, I540, I541, I542, I543, I544, I545, I546, I547, I548, I549, I550) [I550 <= I547 /\ I547 <= I550] 123.41/122.21 f1(I551, I552, I553, I554, I555, I556, I557, I558, I559, I560, I561, I562, I563, I564, I565, I566, I567, I568, I569) -> f2(I551, I552, I553, I554, I555, I556, I557, I558, I559, I560, I561, I562, I563, I564, I565, I566, I567, I568, I569) [1 + I566 <= I569] 123.41/122.21 f1(I570, I571, I572, I573, I574, I575, I576, I577, I578, I579, I580, I581, I582, I583, I584, I585, I586, I587, I588) -> f2(I570, I571, I572, I573, I574, I575, I576, I577, I578, I579, I580, I581, I582, I583, I584, I585, I586, I587, I588) [1 + I588 <= I585] 123.41/122.21 123.41/125.18 EOF