114.30/113.34 MAYBE 114.30/113.34 114.30/113.34 DP problem for innermost termination. 114.30/113.34 P = 114.30/113.34 f20#(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18) -> f19#(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18) 114.30/113.34 f19#(I0, I1, I2, I3, I4, I5, I6, I7, I8, I9, I10, I11, I12, I13, I14, I15, I16, I17) -> f1#(I0, I1, 0, I3, I4, I5, I6, I7, I8, I9, I10, I11, I12, I13, 3, I15, I16, 3) 114.30/113.34 f11#(I18, I19, I20, I21, I22, I23, I24, I25, I26, I27, I28, I29, I30, I31, I32, I33, I34, I35) -> f18#(I18, I19, I20, I21, I22, I23, I24, I25, I26, I27, I28, I29, I30, I31, I32, I33, I34, I35) [I20 <= I32] 114.30/113.34 f11#(I36, I37, I38, I39, I40, I41, I42, I43, I44, I45, I46, I47, I48, I49, I50, I51, I52, I53) -> f3#(I36, I37, I38, I39, I40, I41, I53, I43, I44, I45, I46, I47, I48, I49, I50, I51, I52, I53) [1 + I50 <= I38] 114.30/113.34 f18#(I54, I55, I56, I57, I58, I59, I60, I61, I62, I63, I64, I65, I66, I67, I68, I69, I70, I71) -> f2#(I54, I55, I56, I57, I58, I59, I60, I61, I62, I63, I64, I65, I66, I67, I68, I69, I70, I68 + I71) [1 <= I68] 114.30/113.34 f18#(I72, I73, I74, I75, I76, I77, I78, I79, I80, I81, I82, I83, I84, I85, I86, I87, I88, I89) -> f2#(I72, I73, I74, I75, I76, I77, I78, I79, I80, I81, I82, I83, I84, I85, I86, I87, I88, I89) [I86 <= 0] 114.30/113.34 f3#(I90, I91, I92, I93, I94, I95, I96, I97, I98, I99, I100, I101, I102, I103, I104, I105, I106, I107) -> f17#(0, I91, I92, rnd4, I94, I95, I96, I97, I98, I96, I100, I101, -3, I103, I104, 4, I106, I107) [rnd4 = I96] 114.30/113.34 f9#(I108, I109, I110, I111, I112, I113, I114, I115, I116, I117, I118, I119, I120, I121, I122, I123, I124, I125) -> f10#(I108, I109, I110, I111, I112, I113, I114, I115, I116, I117, I118, I119, I120, I121, I122, I123, I124, I125) 114.30/113.34 f17#(I126, I127, I128, I129, I130, I131, I132, I133, I134, I135, I136, I137, I138, I139, I140, I141, I142, I143) -> f13#(I126, I127, I128, I129, I130, I131, I132, I138, I134, I135, I136, I137, I138, I139, I140, I141, I142, I143) [I141 <= I138 /\ I138 <= I141] 114.30/113.34 f17#(I144, I145, I146, I147, I148, I149, I150, I151, I152, I153, I154, I155, I156, I157, I158, I159, I160, I161) -> f14#(I144, I145, I146, I147, I148, I149, I150, I151, I152, I153, I154, I155, I156, I157, I158, I159, I160, I161) [1 + I156 <= I159] 114.30/113.34 f17#(I162, I163, I164, I165, I166, I167, I168, I169, I170, I171, I172, I173, I174, I175, I176, I177, I178, I179) -> f14#(I162, I163, I164, I165, I166, I167, I168, I169, I170, I171, I172, I173, I174, I175, I176, I177, I178, I179) [1 + I177 <= I174] 114.30/113.34 f15#(I180, I181, I182, I183, I184, I185, I186, I187, I188, I189, I190, I191, I192, I193, I194, I195, I196, I197) -> f16#(I180, I181, I182, I183, I184, I185, I186, I187, I188, I189, I190, I191, I192, I193, I194, I195, I196, I197) [I180 <= I192] 114.30/113.34 f15#(I198, I199, I200, I201, I202, I203, I204, I205, I206, I207, I208, I209, I210, I211, I212, I213, I214, I215) -> f13#(I198, I199, I200, I201, I202, I203, I204, I213, I206, I207, I208, I209, I210, I211, I212, I213, I214, I215) [1 + I210 <= I198] 114.30/113.34 f16#(I216, I217, I218, I219, I220, I221, I222, I223, I224, I225, I226, I227, I228, I229, I230, I231, I232, I233) -> f14#(I216, I217, I218, I219, I220, I221, I222, I223, I224, I225, I226, I227, I228, I229, I230, I228 + I231, I232, I233) [1 <= I228] 114.30/113.34 f16#(I234, I235, I236, I237, I238, I239, I240, I241, I242, I243, I244, I245, I246, I247, I248, I249, I250, I251) -> f14#(I234, I235, I236, I237, I238, I239, I240, I241, I242, I243, I244, I245, I246, I247, I248, I249, I250, I251) [I246 <= 0] 114.30/113.34 f14#(I252, I253, I254, I255, I256, I257, I258, I259, I260, I261, I262, I263, I264, I265, I266, I267, I268, I269) -> f15#(I252, I253, I254, I255, I256, I257, I258, I259, I260, I261, I262, I263, I264, I265, I266, I267, I268, I269) 114.30/113.34 f13#(I270, I271, I272, I273, I274, I275, I276, I277, I278, I279, I280, I281, I282, I283, I284, I285, I286, I287) -> f12#(I270, 0, I272, I273, rnd5, I275, I276, I277, I278, I279, I277, I281, I282, 3, I284, I285, -6, I287) [rnd5 = I277] 114.30/113.34 f12#(I288, I289, I290, I291, I292, I293, I294, I295, I296, I297, I298, I299, I300, I301, I302, I303, I304, I305) -> f7#(I288, I289, I290, I291, I292, I293, I294, I295, I301, I297, I298, I299, I300, I301, I302, I303, I304, I305) [I304 <= I301 /\ I301 <= I304] 114.30/113.34 f12#(I306, I307, I308, I309, I310, I311, I312, I313, I314, I315, I316, I317, I318, I319, I320, I321, I322, I323) -> f9#(I306, I307, I308, I309, I310, I311, I312, I313, I314, I315, I316, I317, I318, I319, I320, I321, I322, I323) [1 + I319 <= I322] 114.30/113.34 f12#(I324, I325, I326, I327, I328, I329, I330, I331, I332, I333, I334, I335, I336, I337, I338, I339, I340, I341) -> f9#(I324, I325, I326, I327, I328, I329, I330, I331, I332, I333, I334, I335, I336, I337, I338, I339, I340, I341) [1 + I340 <= I337] 114.30/113.34 f2#(I342, I343, I344, I345, I346, I347, I348, I349, I350, I351, I352, I353, I354, I355, I356, I357, I358, I359) -> f11#(I342, I343, I344, I345, I346, I347, I348, I349, I350, I351, I352, I353, I354, I355, I356, I357, I358, I359) 114.30/113.34 f10#(I360, I361, I362, I363, I364, I365, I366, I367, I368, I369, I370, I371, I372, I373, I374, I375, I376, I377) -> f8#(I360, I361, I362, I363, I364, I365, I366, I367, I368, I369, I370, I371, I372, I373, I374, I375, I376, I377) [I361 <= I373] 114.30/113.34 f10#(I378, I379, I380, I381, I382, I383, I384, I385, I386, I387, I388, I389, I390, I391, I392, I393, I394, I395) -> f7#(I378, I379, I380, I381, I382, I383, I384, I385, I394, I387, I388, I389, I390, I391, I392, I393, I394, I395) [1 + I391 <= I379] 114.30/113.34 f8#(I396, I397, I398, I399, I400, I401, I402, I403, I404, I405, I406, I407, I408, I409, I410, I411, I412, I413) -> f9#(I396, I397, I398, I399, I400, I401, I402, I403, I404, I405, I406, I407, I408, I409, I410, I411, I409 + I412, I413) [1 <= I409] 114.30/113.34 f8#(I414, I415, I416, I417, I418, I419, I420, I421, I422, I423, I424, I425, I426, I427, I428, I429, I430, I431) -> f9#(I414, I415, I416, I417, I418, I419, I420, I421, I422, I423, I424, I425, I426, I427, I428, I429, I430, I431) [I427 <= 0] 114.30/113.34 f7#(I432, I433, I434, I435, I436, I437, I438, I439, I440, I441, I442, I443, I444, I445, I446, I447, I448, I449) -> f6#(I432, I433, I434, I435, I436, rnd6, I438, I439, I440, I441, I442, I440, I444, I445, I446, I447, I448, I449) [rnd6 = I440] 114.30/113.34 f6#(I450, I451, I452, I453, I454, I455, I456, I457, I458, I459, I460, I461, I462, I463, I464, I465, I466, I467) -> f4#(I450, I451, I452, I453, I454, I455, I456, I457, I458, I459, I460, I461, I462, I463, I464, I465, I466, I467) [5 <= I453] 114.30/113.34 f6#(I468, I469, I470, I471, I472, I473, I474, I475, I476, I477, I478, I479, I480, I481, I482, I483, I484, I485) -> f4#(I468, I469, I470, I471, I472, I473, I474, I475, I476, I477, I478, I479, I480, I481, I482, I483, I484, I485) [I471 <= 4] 114.30/113.34 f1#(I504, I505, I506, I507, I508, I509, I510, I511, I512, I513, I514, I515, I516, I517, I518, I519, I520, I521) -> f3#(I504, I505, I506, I507, I508, I509, I518, I511, I512, I513, I514, I515, I516, I517, I518, I519, I520, I521) [I521 <= I518 /\ I518 <= I521] 114.30/113.34 f1#(I522, I523, I524, I525, I526, I527, I528, I529, I530, I531, I532, I533, I534, I535, I536, I537, I538, I539) -> f2#(I522, I523, I524, I525, I526, I527, I528, I529, I530, I531, I532, I533, I534, I535, I536, I537, I538, I539) [1 + I536 <= I539] 114.30/113.34 f1#(I540, I541, I542, I543, I544, I545, I546, I547, I548, I549, I550, I551, I552, I553, I554, I555, I556, I557) -> f2#(I540, I541, I542, I543, I544, I545, I546, I547, I548, I549, I550, I551, I552, I553, I554, I555, I556, I557) [1 + I557 <= I554] 114.30/113.34 R = 114.30/113.34 f20(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18) -> f19(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18) 114.30/113.34 f19(I0, I1, I2, I3, I4, I5, I6, I7, I8, I9, I10, I11, I12, I13, I14, I15, I16, I17) -> f1(I0, I1, 0, I3, I4, I5, I6, I7, I8, I9, I10, I11, I12, I13, 3, I15, I16, 3) 114.30/113.34 f11(I18, I19, I20, I21, I22, I23, I24, I25, I26, I27, I28, I29, I30, I31, I32, I33, I34, I35) -> f18(I18, I19, I20, I21, I22, I23, I24, I25, I26, I27, I28, I29, I30, I31, I32, I33, I34, I35) [I20 <= I32] 114.30/113.34 f11(I36, I37, I38, I39, I40, I41, I42, I43, I44, I45, I46, I47, I48, I49, I50, I51, I52, I53) -> f3(I36, I37, I38, I39, I40, I41, I53, I43, I44, I45, I46, I47, I48, I49, I50, I51, I52, I53) [1 + I50 <= I38] 114.30/113.34 f18(I54, I55, I56, I57, I58, I59, I60, I61, I62, I63, I64, I65, I66, I67, I68, I69, I70, I71) -> f2(I54, I55, I56, I57, I58, I59, I60, I61, I62, I63, I64, I65, I66, I67, I68, I69, I70, I68 + I71) [1 <= I68] 114.30/113.34 f18(I72, I73, I74, I75, I76, I77, I78, I79, I80, I81, I82, I83, I84, I85, I86, I87, I88, I89) -> f2(I72, I73, I74, I75, I76, I77, I78, I79, I80, I81, I82, I83, I84, I85, I86, I87, I88, I89) [I86 <= 0] 114.30/113.34 f3(I90, I91, I92, I93, I94, I95, I96, I97, I98, I99, I100, I101, I102, I103, I104, I105, I106, I107) -> f17(0, I91, I92, rnd4, I94, I95, I96, I97, I98, I96, I100, I101, -3, I103, I104, 4, I106, I107) [rnd4 = I96] 114.30/113.34 f9(I108, I109, I110, I111, I112, I113, I114, I115, I116, I117, I118, I119, I120, I121, I122, I123, I124, I125) -> f10(I108, I109, I110, I111, I112, I113, I114, I115, I116, I117, I118, I119, I120, I121, I122, I123, I124, I125) 114.30/113.34 f17(I126, I127, I128, I129, I130, I131, I132, I133, I134, I135, I136, I137, I138, I139, I140, I141, I142, I143) -> f13(I126, I127, I128, I129, I130, I131, I132, I138, I134, I135, I136, I137, I138, I139, I140, I141, I142, I143) [I141 <= I138 /\ I138 <= I141] 114.30/113.34 f17(I144, I145, I146, I147, I148, I149, I150, I151, I152, I153, I154, I155, I156, I157, I158, I159, I160, I161) -> f14(I144, I145, I146, I147, I148, I149, I150, I151, I152, I153, I154, I155, I156, I157, I158, I159, I160, I161) [1 + I156 <= I159] 114.30/113.34 f17(I162, I163, I164, I165, I166, I167, I168, I169, I170, I171, I172, I173, I174, I175, I176, I177, I178, I179) -> f14(I162, I163, I164, I165, I166, I167, I168, I169, I170, I171, I172, I173, I174, I175, I176, I177, I178, I179) [1 + I177 <= I174] 114.30/113.34 f15(I180, I181, I182, I183, I184, I185, I186, I187, I188, I189, I190, I191, I192, I193, I194, I195, I196, I197) -> f16(I180, I181, I182, I183, I184, I185, I186, I187, I188, I189, I190, I191, I192, I193, I194, I195, I196, I197) [I180 <= I192] 114.30/113.34 f15(I198, I199, I200, I201, I202, I203, I204, I205, I206, I207, I208, I209, I210, I211, I212, I213, I214, I215) -> f13(I198, I199, I200, I201, I202, I203, I204, I213, I206, I207, I208, I209, I210, I211, I212, I213, I214, I215) [1 + I210 <= I198] 114.30/113.34 f16(I216, I217, I218, I219, I220, I221, I222, I223, I224, I225, I226, I227, I228, I229, I230, I231, I232, I233) -> f14(I216, I217, I218, I219, I220, I221, I222, I223, I224, I225, I226, I227, I228, I229, I230, I228 + I231, I232, I233) [1 <= I228] 114.30/113.34 f16(I234, I235, I236, I237, I238, I239, I240, I241, I242, I243, I244, I245, I246, I247, I248, I249, I250, I251) -> f14(I234, I235, I236, I237, I238, I239, I240, I241, I242, I243, I244, I245, I246, I247, I248, I249, I250, I251) [I246 <= 0] 114.30/113.34 f14(I252, I253, I254, I255, I256, I257, I258, I259, I260, I261, I262, I263, I264, I265, I266, I267, I268, I269) -> f15(I252, I253, I254, I255, I256, I257, I258, I259, I260, I261, I262, I263, I264, I265, I266, I267, I268, I269) 114.30/113.34 f13(I270, I271, I272, I273, I274, I275, I276, I277, I278, I279, I280, I281, I282, I283, I284, I285, I286, I287) -> f12(I270, 0, I272, I273, rnd5, I275, I276, I277, I278, I279, I277, I281, I282, 3, I284, I285, -6, I287) [rnd5 = I277] 114.30/113.34 f12(I288, I289, I290, I291, I292, I293, I294, I295, I296, I297, I298, I299, I300, I301, I302, I303, I304, I305) -> f7(I288, I289, I290, I291, I292, I293, I294, I295, I301, I297, I298, I299, I300, I301, I302, I303, I304, I305) [I304 <= I301 /\ I301 <= I304] 114.30/113.34 f12(I306, I307, I308, I309, I310, I311, I312, I313, I314, I315, I316, I317, I318, I319, I320, I321, I322, I323) -> f9(I306, I307, I308, I309, I310, I311, I312, I313, I314, I315, I316, I317, I318, I319, I320, I321, I322, I323) [1 + I319 <= I322] 114.30/113.34 f12(I324, I325, I326, I327, I328, I329, I330, I331, I332, I333, I334, I335, I336, I337, I338, I339, I340, I341) -> f9(I324, I325, I326, I327, I328, I329, I330, I331, I332, I333, I334, I335, I336, I337, I338, I339, I340, I341) [1 + I340 <= I337] 114.30/113.34 f2(I342, I343, I344, I345, I346, I347, I348, I349, I350, I351, I352, I353, I354, I355, I356, I357, I358, I359) -> f11(I342, I343, I344, I345, I346, I347, I348, I349, I350, I351, I352, I353, I354, I355, I356, I357, I358, I359) 114.30/113.34 f10(I360, I361, I362, I363, I364, I365, I366, I367, I368, I369, I370, I371, I372, I373, I374, I375, I376, I377) -> f8(I360, I361, I362, I363, I364, I365, I366, I367, I368, I369, I370, I371, I372, I373, I374, I375, I376, I377) [I361 <= I373] 114.30/113.34 f10(I378, I379, I380, I381, I382, I383, I384, I385, I386, I387, I388, I389, I390, I391, I392, I393, I394, I395) -> f7(I378, I379, I380, I381, I382, I383, I384, I385, I394, I387, I388, I389, I390, I391, I392, I393, I394, I395) [1 + I391 <= I379] 114.30/113.34 f8(I396, I397, I398, I399, I400, I401, I402, I403, I404, I405, I406, I407, I408, I409, I410, I411, I412, I413) -> f9(I396, I397, I398, I399, I400, I401, I402, I403, I404, I405, I406, I407, I408, I409, I410, I411, I409 + I412, I413) [1 <= I409] 114.30/113.34 f8(I414, I415, I416, I417, I418, I419, I420, I421, I422, I423, I424, I425, I426, I427, I428, I429, I430, I431) -> f9(I414, I415, I416, I417, I418, I419, I420, I421, I422, I423, I424, I425, I426, I427, I428, I429, I430, I431) [I427 <= 0] 114.30/113.34 f7(I432, I433, I434, I435, I436, I437, I438, I439, I440, I441, I442, I443, I444, I445, I446, I447, I448, I449) -> f6(I432, I433, I434, I435, I436, rnd6, I438, I439, I440, I441, I442, I440, I444, I445, I446, I447, I448, I449) [rnd6 = I440] 114.30/113.34 f6(I450, I451, I452, I453, I454, I455, I456, I457, I458, I459, I460, I461, I462, I463, I464, I465, I466, I467) -> f4(I450, I451, I452, I453, I454, I455, I456, I457, I458, I459, I460, I461, I462, I463, I464, I465, I466, I467) [5 <= I453] 114.30/113.34 f6(I468, I469, I470, I471, I472, I473, I474, I475, I476, I477, I478, I479, I480, I481, I482, I483, I484, I485) -> f4(I468, I469, I470, I471, I472, I473, I474, I475, I476, I477, I478, I479, I480, I481, I482, I483, I484, I485) [I471 <= 4] 114.30/113.34 f4(I486, I487, I488, I489, I490, I491, I492, I493, I494, I495, I496, I497, I498, I499, I500, I501, I502, I503) -> f5(I486, I487, I488, I489, I490, I491, I492, I493, I494, I495, I496, I497, I498, I499, I500, I501, I502, I503) 114.30/113.34 f1(I504, I505, I506, I507, I508, I509, I510, I511, I512, I513, I514, I515, I516, I517, I518, I519, I520, I521) -> f3(I504, I505, I506, I507, I508, I509, I518, I511, I512, I513, I514, I515, I516, I517, I518, I519, I520, I521) [I521 <= I518 /\ I518 <= I521] 114.30/113.34 f1(I522, I523, I524, I525, I526, I527, I528, I529, I530, I531, I532, I533, I534, I535, I536, I537, I538, I539) -> f2(I522, I523, I524, I525, I526, I527, I528, I529, I530, I531, I532, I533, I534, I535, I536, I537, I538, I539) [1 + I536 <= I539] 114.30/113.34 f1(I540, I541, I542, I543, I544, I545, I546, I547, I548, I549, I550, I551, I552, I553, I554, I555, I556, I557) -> f2(I540, I541, I542, I543, I544, I545, I546, I547, I548, I549, I550, I551, I552, I553, I554, I555, I556, I557) [1 + I557 <= I554] 114.30/113.34 114.30/113.34 The dependency graph for this problem is: 114.30/113.34 0 -> 1 114.30/113.34 1 -> 28 114.30/113.34 2 -> 4, 5 114.30/113.34 3 -> 6 114.30/113.34 4 -> 20 114.30/113.34 5 -> 20 114.30/113.34 6 -> 9 114.30/113.34 7 -> 21, 22 114.30/113.34 8 -> 16 114.30/113.34 9 -> 15 114.30/113.34 10 -> 15 114.30/113.34 11 -> 13, 14 114.30/113.34 12 -> 16 114.30/113.34 13 -> 15 114.30/113.34 14 -> 15 114.30/113.34 15 -> 11, 12 114.30/113.34 16 -> 19 114.30/113.34 17 -> 25 114.30/113.34 18 -> 7 114.30/113.34 19 -> 7 114.30/113.34 20 -> 2, 3 114.30/113.34 21 -> 23, 24 114.30/113.34 22 -> 25 114.30/113.34 23 -> 7 114.30/113.34 24 -> 7 114.30/113.34 25 -> 26, 27 114.30/113.34 26 -> 114.30/113.34 27 -> 114.30/113.34 28 -> 6 114.30/113.34 29 -> 20 114.30/113.34 30 -> 20 114.30/113.34 Where: 114.30/113.34 0) f20#(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18) -> f19#(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18) 114.30/113.34 1) f19#(I0, I1, I2, I3, I4, I5, I6, I7, I8, I9, I10, I11, I12, I13, I14, I15, I16, I17) -> f1#(I0, I1, 0, I3, I4, I5, I6, I7, I8, I9, I10, I11, I12, I13, 3, I15, I16, 3) 114.30/113.34 2) f11#(I18, I19, I20, I21, I22, I23, I24, I25, I26, I27, I28, I29, I30, I31, I32, I33, I34, I35) -> f18#(I18, I19, I20, I21, I22, I23, I24, I25, I26, I27, I28, I29, I30, I31, I32, I33, I34, I35) [I20 <= I32] 114.30/113.34 3) f11#(I36, I37, I38, I39, I40, I41, I42, I43, I44, I45, I46, I47, I48, I49, I50, I51, I52, I53) -> f3#(I36, I37, I38, I39, I40, I41, I53, I43, I44, I45, I46, I47, I48, I49, I50, I51, I52, I53) [1 + I50 <= I38] 114.30/113.34 4) f18#(I54, I55, I56, I57, I58, I59, I60, I61, I62, I63, I64, I65, I66, I67, I68, I69, I70, I71) -> f2#(I54, I55, I56, I57, I58, I59, I60, I61, I62, I63, I64, I65, I66, I67, I68, I69, I70, I68 + I71) [1 <= I68] 114.30/113.34 5) f18#(I72, I73, I74, I75, I76, I77, I78, I79, I80, I81, I82, I83, I84, I85, I86, I87, I88, I89) -> f2#(I72, I73, I74, I75, I76, I77, I78, I79, I80, I81, I82, I83, I84, I85, I86, I87, I88, I89) [I86 <= 0] 114.30/113.34 6) f3#(I90, I91, I92, I93, I94, I95, I96, I97, I98, I99, I100, I101, I102, I103, I104, I105, I106, I107) -> f17#(0, I91, I92, rnd4, I94, I95, I96, I97, I98, I96, I100, I101, -3, I103, I104, 4, I106, I107) [rnd4 = I96] 114.30/113.34 7) f9#(I108, I109, I110, I111, I112, I113, I114, I115, I116, I117, I118, I119, I120, I121, I122, I123, I124, I125) -> f10#(I108, I109, I110, I111, I112, I113, I114, I115, I116, I117, I118, I119, I120, I121, I122, I123, I124, I125) 114.30/113.34 8) f17#(I126, I127, I128, I129, I130, I131, I132, I133, I134, I135, I136, I137, I138, I139, I140, I141, I142, I143) -> f13#(I126, I127, I128, I129, I130, I131, I132, I138, I134, I135, I136, I137, I138, I139, I140, I141, I142, I143) [I141 <= I138 /\ I138 <= I141] 114.30/113.34 9) f17#(I144, I145, I146, I147, I148, I149, I150, I151, I152, I153, I154, I155, I156, I157, I158, I159, I160, I161) -> f14#(I144, I145, I146, I147, I148, I149, I150, I151, I152, I153, I154, I155, I156, I157, I158, I159, I160, I161) [1 + I156 <= I159] 114.30/113.34 10) f17#(I162, I163, I164, I165, I166, I167, I168, I169, I170, I171, I172, I173, I174, I175, I176, I177, I178, I179) -> f14#(I162, I163, I164, I165, I166, I167, I168, I169, I170, I171, I172, I173, I174, I175, I176, I177, I178, I179) [1 + I177 <= I174] 114.30/113.34 11) f15#(I180, I181, I182, I183, I184, I185, I186, I187, I188, I189, I190, I191, I192, I193, I194, I195, I196, I197) -> f16#(I180, I181, I182, I183, I184, I185, I186, I187, I188, I189, I190, I191, I192, I193, I194, I195, I196, I197) [I180 <= I192] 114.30/113.34 12) f15#(I198, I199, I200, I201, I202, I203, I204, I205, I206, I207, I208, I209, I210, I211, I212, I213, I214, I215) -> f13#(I198, I199, I200, I201, I202, I203, I204, I213, I206, I207, I208, I209, I210, I211, I212, I213, I214, I215) [1 + I210 <= I198] 114.30/113.34 13) f16#(I216, I217, I218, I219, I220, I221, I222, I223, I224, I225, I226, I227, I228, I229, I230, I231, I232, I233) -> f14#(I216, I217, I218, I219, I220, I221, I222, I223, I224, I225, I226, I227, I228, I229, I230, I228 + I231, I232, I233) [1 <= I228] 114.30/113.34 14) f16#(I234, I235, I236, I237, I238, I239, I240, I241, I242, I243, I244, I245, I246, I247, I248, I249, I250, I251) -> f14#(I234, I235, I236, I237, I238, I239, I240, I241, I242, I243, I244, I245, I246, I247, I248, I249, I250, I251) [I246 <= 0] 114.30/113.34 15) f14#(I252, I253, I254, I255, I256, I257, I258, I259, I260, I261, I262, I263, I264, I265, I266, I267, I268, I269) -> f15#(I252, I253, I254, I255, I256, I257, I258, I259, I260, I261, I262, I263, I264, I265, I266, I267, I268, I269) 114.30/113.34 16) f13#(I270, I271, I272, I273, I274, I275, I276, I277, I278, I279, I280, I281, I282, I283, I284, I285, I286, I287) -> f12#(I270, 0, I272, I273, rnd5, I275, I276, I277, I278, I279, I277, I281, I282, 3, I284, I285, -6, I287) [rnd5 = I277] 114.30/113.34 17) f12#(I288, I289, I290, I291, I292, I293, I294, I295, I296, I297, I298, I299, I300, I301, I302, I303, I304, I305) -> f7#(I288, I289, I290, I291, I292, I293, I294, I295, I301, I297, I298, I299, I300, I301, I302, I303, I304, I305) [I304 <= I301 /\ I301 <= I304] 114.30/113.34 18) f12#(I306, I307, I308, I309, I310, I311, I312, I313, I314, I315, I316, I317, I318, I319, I320, I321, I322, I323) -> f9#(I306, I307, I308, I309, I310, I311, I312, I313, I314, I315, I316, I317, I318, I319, I320, I321, I322, I323) [1 + I319 <= I322] 114.30/113.34 19) f12#(I324, I325, I326, I327, I328, I329, I330, I331, I332, I333, I334, I335, I336, I337, I338, I339, I340, I341) -> f9#(I324, I325, I326, I327, I328, I329, I330, I331, I332, I333, I334, I335, I336, I337, I338, I339, I340, I341) [1 + I340 <= I337] 114.30/113.34 20) f2#(I342, I343, I344, I345, I346, I347, I348, I349, I350, I351, I352, I353, I354, I355, I356, I357, I358, I359) -> f11#(I342, I343, I344, I345, I346, I347, I348, I349, I350, I351, I352, I353, I354, I355, I356, I357, I358, I359) 114.30/113.34 21) f10#(I360, I361, I362, I363, I364, I365, I366, I367, I368, I369, I370, I371, I372, I373, I374, I375, I376, I377) -> f8#(I360, I361, I362, I363, I364, I365, I366, I367, I368, I369, I370, I371, I372, I373, I374, I375, I376, I377) [I361 <= I373] 114.30/113.34 22) f10#(I378, I379, I380, I381, I382, I383, I384, I385, I386, I387, I388, I389, I390, I391, I392, I393, I394, I395) -> f7#(I378, I379, I380, I381, I382, I383, I384, I385, I394, I387, I388, I389, I390, I391, I392, I393, I394, I395) [1 + I391 <= I379] 114.30/113.34 23) f8#(I396, I397, I398, I399, I400, I401, I402, I403, I404, I405, I406, I407, I408, I409, I410, I411, I412, I413) -> f9#(I396, I397, I398, I399, I400, I401, I402, I403, I404, I405, I406, I407, I408, I409, I410, I411, I409 + I412, I413) [1 <= I409] 114.30/113.34 24) f8#(I414, I415, I416, I417, I418, I419, I420, I421, I422, I423, I424, I425, I426, I427, I428, I429, I430, I431) -> f9#(I414, I415, I416, I417, I418, I419, I420, I421, I422, I423, I424, I425, I426, I427, I428, I429, I430, I431) [I427 <= 0] 114.30/113.34 25) f7#(I432, I433, I434, I435, I436, I437, I438, I439, I440, I441, I442, I443, I444, I445, I446, I447, I448, I449) -> f6#(I432, I433, I434, I435, I436, rnd6, I438, I439, I440, I441, I442, I440, I444, I445, I446, I447, I448, I449) [rnd6 = I440] 114.30/113.34 26) f6#(I450, I451, I452, I453, I454, I455, I456, I457, I458, I459, I460, I461, I462, I463, I464, I465, I466, I467) -> f4#(I450, I451, I452, I453, I454, I455, I456, I457, I458, I459, I460, I461, I462, I463, I464, I465, I466, I467) [5 <= I453] 114.30/113.34 27) f6#(I468, I469, I470, I471, I472, I473, I474, I475, I476, I477, I478, I479, I480, I481, I482, I483, I484, I485) -> f4#(I468, I469, I470, I471, I472, I473, I474, I475, I476, I477, I478, I479, I480, I481, I482, I483, I484, I485) [I471 <= 4] 114.30/113.34 28) f1#(I504, I505, I506, I507, I508, I509, I510, I511, I512, I513, I514, I515, I516, I517, I518, I519, I520, I521) -> f3#(I504, I505, I506, I507, I508, I509, I518, I511, I512, I513, I514, I515, I516, I517, I518, I519, I520, I521) [I521 <= I518 /\ I518 <= I521] 114.30/113.34 29) f1#(I522, I523, I524, I525, I526, I527, I528, I529, I530, I531, I532, I533, I534, I535, I536, I537, I538, I539) -> f2#(I522, I523, I524, I525, I526, I527, I528, I529, I530, I531, I532, I533, I534, I535, I536, I537, I538, I539) [1 + I536 <= I539] 114.30/113.34 30) f1#(I540, I541, I542, I543, I544, I545, I546, I547, I548, I549, I550, I551, I552, I553, I554, I555, I556, I557) -> f2#(I540, I541, I542, I543, I544, I545, I546, I547, I548, I549, I550, I551, I552, I553, I554, I555, I556, I557) [1 + I557 <= I554] 114.30/113.34 114.30/113.34 We have the following SCCs. 114.30/113.34 { 2, 4, 5, 20 } 114.30/113.34 { 11, 13, 14, 15 } 114.30/113.34 { 7, 21, 23, 24 } 114.30/113.34 114.30/113.34 DP problem for innermost termination. 114.30/113.34 P = 114.30/113.34 f9#(I108, I109, I110, I111, I112, I113, I114, I115, I116, I117, I118, I119, I120, I121, I122, I123, I124, I125) -> f10#(I108, I109, I110, I111, I112, I113, I114, I115, I116, I117, I118, I119, I120, I121, I122, I123, I124, I125) 114.30/113.34 f10#(I360, I361, I362, I363, I364, I365, I366, I367, I368, I369, I370, I371, I372, I373, I374, I375, I376, I377) -> f8#(I360, I361, I362, I363, I364, I365, I366, I367, I368, I369, I370, I371, I372, I373, I374, I375, I376, I377) [I361 <= I373] 114.30/113.34 f8#(I396, I397, I398, I399, I400, I401, I402, I403, I404, I405, I406, I407, I408, I409, I410, I411, I412, I413) -> f9#(I396, I397, I398, I399, I400, I401, I402, I403, I404, I405, I406, I407, I408, I409, I410, I411, I409 + I412, I413) [1 <= I409] 114.30/113.34 f8#(I414, I415, I416, I417, I418, I419, I420, I421, I422, I423, I424, I425, I426, I427, I428, I429, I430, I431) -> f9#(I414, I415, I416, I417, I418, I419, I420, I421, I422, I423, I424, I425, I426, I427, I428, I429, I430, I431) [I427 <= 0] 114.30/113.34 R = 114.30/113.34 f20(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18) -> f19(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18) 114.30/113.34 f19(I0, I1, I2, I3, I4, I5, I6, I7, I8, I9, I10, I11, I12, I13, I14, I15, I16, I17) -> f1(I0, I1, 0, I3, I4, I5, I6, I7, I8, I9, I10, I11, I12, I13, 3, I15, I16, 3) 114.30/113.34 f11(I18, I19, I20, I21, I22, I23, I24, I25, I26, I27, I28, I29, I30, I31, I32, I33, I34, I35) -> f18(I18, I19, I20, I21, I22, I23, I24, I25, I26, I27, I28, I29, I30, I31, I32, I33, I34, I35) [I20 <= I32] 114.30/113.34 f11(I36, I37, I38, I39, I40, I41, I42, I43, I44, I45, I46, I47, I48, I49, I50, I51, I52, I53) -> f3(I36, I37, I38, I39, I40, I41, I53, I43, I44, I45, I46, I47, I48, I49, I50, I51, I52, I53) [1 + I50 <= I38] 114.30/113.34 f18(I54, I55, I56, I57, I58, I59, I60, I61, I62, I63, I64, I65, I66, I67, I68, I69, I70, I71) -> f2(I54, I55, I56, I57, I58, I59, I60, I61, I62, I63, I64, I65, I66, I67, I68, I69, I70, I68 + I71) [1 <= I68] 114.30/113.34 f18(I72, I73, I74, I75, I76, I77, I78, I79, I80, I81, I82, I83, I84, I85, I86, I87, I88, I89) -> f2(I72, I73, I74, I75, I76, I77, I78, I79, I80, I81, I82, I83, I84, I85, I86, I87, I88, I89) [I86 <= 0] 114.30/113.34 f3(I90, I91, I92, I93, I94, I95, I96, I97, I98, I99, I100, I101, I102, I103, I104, I105, I106, I107) -> f17(0, I91, I92, rnd4, I94, I95, I96, I97, I98, I96, I100, I101, -3, I103, I104, 4, I106, I107) [rnd4 = I96] 114.30/113.34 f9(I108, I109, I110, I111, I112, I113, I114, I115, I116, I117, I118, I119, I120, I121, I122, I123, I124, I125) -> f10(I108, I109, I110, I111, I112, I113, I114, I115, I116, I117, I118, I119, I120, I121, I122, I123, I124, I125) 114.30/113.34 f17(I126, I127, I128, I129, I130, I131, I132, I133, I134, I135, I136, I137, I138, I139, I140, I141, I142, I143) -> f13(I126, I127, I128, I129, I130, I131, I132, I138, I134, I135, I136, I137, I138, I139, I140, I141, I142, I143) [I141 <= I138 /\ I138 <= I141] 114.30/113.34 f17(I144, I145, I146, I147, I148, I149, I150, I151, I152, I153, I154, I155, I156, I157, I158, I159, I160, I161) -> f14(I144, I145, I146, I147, I148, I149, I150, I151, I152, I153, I154, I155, I156, I157, I158, I159, I160, I161) [1 + I156 <= I159] 114.30/113.34 f17(I162, I163, I164, I165, I166, I167, I168, I169, I170, I171, I172, I173, I174, I175, I176, I177, I178, I179) -> f14(I162, I163, I164, I165, I166, I167, I168, I169, I170, I171, I172, I173, I174, I175, I176, I177, I178, I179) [1 + I177 <= I174] 114.30/113.34 f15(I180, I181, I182, I183, I184, I185, I186, I187, I188, I189, I190, I191, I192, I193, I194, I195, I196, I197) -> f16(I180, I181, I182, I183, I184, I185, I186, I187, I188, I189, I190, I191, I192, I193, I194, I195, I196, I197) [I180 <= I192] 114.30/113.34 f15(I198, I199, I200, I201, I202, I203, I204, I205, I206, I207, I208, I209, I210, I211, I212, I213, I214, I215) -> f13(I198, I199, I200, I201, I202, I203, I204, I213, I206, I207, I208, I209, I210, I211, I212, I213, I214, I215) [1 + I210 <= I198] 114.30/113.34 f16(I216, I217, I218, I219, I220, I221, I222, I223, I224, I225, I226, I227, I228, I229, I230, I231, I232, I233) -> f14(I216, I217, I218, I219, I220, I221, I222, I223, I224, I225, I226, I227, I228, I229, I230, I228 + I231, I232, I233) [1 <= I228] 114.30/113.34 f16(I234, I235, I236, I237, I238, I239, I240, I241, I242, I243, I244, I245, I246, I247, I248, I249, I250, I251) -> f14(I234, I235, I236, I237, I238, I239, I240, I241, I242, I243, I244, I245, I246, I247, I248, I249, I250, I251) [I246 <= 0] 114.30/113.34 f14(I252, I253, I254, I255, I256, I257, I258, I259, I260, I261, I262, I263, I264, I265, I266, I267, I268, I269) -> f15(I252, I253, I254, I255, I256, I257, I258, I259, I260, I261, I262, I263, I264, I265, I266, I267, I268, I269) 114.30/113.34 f13(I270, I271, I272, I273, I274, I275, I276, I277, I278, I279, I280, I281, I282, I283, I284, I285, I286, I287) -> f12(I270, 0, I272, I273, rnd5, I275, I276, I277, I278, I279, I277, I281, I282, 3, I284, I285, -6, I287) [rnd5 = I277] 114.30/113.34 f12(I288, I289, I290, I291, I292, I293, I294, I295, I296, I297, I298, I299, I300, I301, I302, I303, I304, I305) -> f7(I288, I289, I290, I291, I292, I293, I294, I295, I301, I297, I298, I299, I300, I301, I302, I303, I304, I305) [I304 <= I301 /\ I301 <= I304] 114.30/113.34 f12(I306, I307, I308, I309, I310, I311, I312, I313, I314, I315, I316, I317, I318, I319, I320, I321, I322, I323) -> f9(I306, I307, I308, I309, I310, I311, I312, I313, I314, I315, I316, I317, I318, I319, I320, I321, I322, I323) [1 + I319 <= I322] 114.30/113.34 f12(I324, I325, I326, I327, I328, I329, I330, I331, I332, I333, I334, I335, I336, I337, I338, I339, I340, I341) -> f9(I324, I325, I326, I327, I328, I329, I330, I331, I332, I333, I334, I335, I336, I337, I338, I339, I340, I341) [1 + I340 <= I337] 114.30/113.34 f2(I342, I343, I344, I345, I346, I347, I348, I349, I350, I351, I352, I353, I354, I355, I356, I357, I358, I359) -> f11(I342, I343, I344, I345, I346, I347, I348, I349, I350, I351, I352, I353, I354, I355, I356, I357, I358, I359) 114.30/113.34 f10(I360, I361, I362, I363, I364, I365, I366, I367, I368, I369, I370, I371, I372, I373, I374, I375, I376, I377) -> f8(I360, I361, I362, I363, I364, I365, I366, I367, I368, I369, I370, I371, I372, I373, I374, I375, I376, I377) [I361 <= I373] 114.30/113.34 f10(I378, I379, I380, I381, I382, I383, I384, I385, I386, I387, I388, I389, I390, I391, I392, I393, I394, I395) -> f7(I378, I379, I380, I381, I382, I383, I384, I385, I394, I387, I388, I389, I390, I391, I392, I393, I394, I395) [1 + I391 <= I379] 114.30/113.34 f8(I396, I397, I398, I399, I400, I401, I402, I403, I404, I405, I406, I407, I408, I409, I410, I411, I412, I413) -> f9(I396, I397, I398, I399, I400, I401, I402, I403, I404, I405, I406, I407, I408, I409, I410, I411, I409 + I412, I413) [1 <= I409] 114.30/113.34 f8(I414, I415, I416, I417, I418, I419, I420, I421, I422, I423, I424, I425, I426, I427, I428, I429, I430, I431) -> f9(I414, I415, I416, I417, I418, I419, I420, I421, I422, I423, I424, I425, I426, I427, I428, I429, I430, I431) [I427 <= 0] 114.30/113.34 f7(I432, I433, I434, I435, I436, I437, I438, I439, I440, I441, I442, I443, I444, I445, I446, I447, I448, I449) -> f6(I432, I433, I434, I435, I436, rnd6, I438, I439, I440, I441, I442, I440, I444, I445, I446, I447, I448, I449) [rnd6 = I440] 114.30/113.34 f6(I450, I451, I452, I453, I454, I455, I456, I457, I458, I459, I460, I461, I462, I463, I464, I465, I466, I467) -> f4(I450, I451, I452, I453, I454, I455, I456, I457, I458, I459, I460, I461, I462, I463, I464, I465, I466, I467) [5 <= I453] 114.30/113.34 f6(I468, I469, I470, I471, I472, I473, I474, I475, I476, I477, I478, I479, I480, I481, I482, I483, I484, I485) -> f4(I468, I469, I470, I471, I472, I473, I474, I475, I476, I477, I478, I479, I480, I481, I482, I483, I484, I485) [I471 <= 4] 114.30/113.34 f4(I486, I487, I488, I489, I490, I491, I492, I493, I494, I495, I496, I497, I498, I499, I500, I501, I502, I503) -> f5(I486, I487, I488, I489, I490, I491, I492, I493, I494, I495, I496, I497, I498, I499, I500, I501, I502, I503) 114.30/113.34 f1(I504, I505, I506, I507, I508, I509, I510, I511, I512, I513, I514, I515, I516, I517, I518, I519, I520, I521) -> f3(I504, I505, I506, I507, I508, I509, I518, I511, I512, I513, I514, I515, I516, I517, I518, I519, I520, I521) [I521 <= I518 /\ I518 <= I521] 114.30/113.34 f1(I522, I523, I524, I525, I526, I527, I528, I529, I530, I531, I532, I533, I534, I535, I536, I537, I538, I539) -> f2(I522, I523, I524, I525, I526, I527, I528, I529, I530, I531, I532, I533, I534, I535, I536, I537, I538, I539) [1 + I536 <= I539] 114.30/113.34 f1(I540, I541, I542, I543, I544, I545, I546, I547, I548, I549, I550, I551, I552, I553, I554, I555, I556, I557) -> f2(I540, I541, I542, I543, I544, I545, I546, I547, I548, I549, I550, I551, I552, I553, I554, I555, I556, I557) [1 + I557 <= I554] 114.30/113.34 114.30/116.31 EOF