252.66/248.77 MAYBE 252.66/248.77 252.66/248.77 DP problem for innermost termination. 252.66/248.77 P = 252.66/248.77 f15#(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18, x19, x20, x21, x22, x23, x24, x25, x26, x27, x28) -> f4#(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18, x19, x20, x21, x22, x23, x24, x25, x26, x27, x28) 252.66/248.77 f14#(I0, I1, I2, I3, I4, I5, I6, I7, I8, I9, I10, I11, I12, I13, I14, I15, I16, I17, I18, I19, I20, I21, I22, I23, I24, I25, I26, I27) -> f7#(I0, I1, I2, I3, I4, I5, I6, I7, I8, I9, I10, I11, I12, I13, I14, I15, I16, I17, I18, I19, I20, I21, I22, I23, I24, I25, I26, I27) 252.66/248.77 f13#(I28, I29, I30, I31, I32, I33, I34, I35, I36, I37, I38, I39, I40, I41, I42, I43, I44, I45, I46, I47, I48, I49, I50, I51, I52, I53, I54, I55) -> f14#(I28, I29, 1 + I36, I35, I32, I33, I35, I35, 1 + I36, I37, rnd11, rnd12, I40, I41, I42, I43, I44, I45, I46, I47, I48, rnd22, I50, I51, I52, I53, I54, I55) [y2 = y2 /\ 0 <= I35 /\ 0 <= I36 /\ rnd12 = rnd12 /\ y1 = y1 /\ rnd22 = y1 /\ rnd11 = rnd11] 252.66/248.77 f12#(I56, I57, I58, I59, I60, I61, I62, I63, I64, I65, I66, I67, I68, I69, I70, I71, I72, I73, I74, I75, I76, I77, I78, I79, I80, I81, I82, I83) -> f13#(I56, I57, I58, I59, I60, I61, I62, I63, I64, I65, I66, I67, I68, I69, I70, I71, I72, I73, I74, I75, I76, I77, I78, I79, I80, I81, I82, I83) [1 + I77 <= I81] 252.66/248.77 f12#(I84, I85, I86, I87, I88, I89, I90, I91, I92, I93, I94, I95, I96, I97, I98, I99, I100, I101, I102, I103, I104, I105, I106, I107, I108, I109, I110, I111) -> f13#(I84, I85, I86, I87, I88, I89, I90, I91, I92, I93, I94, I95, I96, I97, I98, I99, I100, I101, I102, I103, I104, I105, I106, I107, I108, I109, I110, I111) [1 + I109 <= I105] 252.66/248.77 f7#(I112, I113, I114, I115, I116, I117, I118, I119, I120, I121, I122, I123, I124, I125, I126, I127, I128, I129, I130, I131, I132, I133, I134, I135, I136, I137, I138, I139) -> f12#(I112, I113, I114, I115, I116, I117, I118, -1 + I118, I120, I121, I122, I123, I124, I125, I126, I127, I128, I129, I130, I131, I132, I133, I134, I135, I136, I137, I138, I139) [0 <= I120 /\ 0 <= -1 + I118] 252.66/248.77 f11#(I140, I141, I142, I143, I144, I145, I146, I147, I148, I149, I150, I151, I152, I153, I154, I155, I156, I157, I158, I159, I160, I161, I162, I163, I164, I165, I166, I167) -> f1#(I140, I141, I142, I143, I144, I145, I146, I147, I148, I149, I150, I151, I152, I153, I154, I155, I156, I157, I162, I159, I160, I161, I162, I163, I164, I165, I162, I167) 252.66/248.77 f10#(I168, I169, I170, I171, I172, I173, I174, I175, I176, I177, I178, I179, I180, I181, I182, I183, I184, I185, I186, I187, I188, I189, I190, I191, I192, I193, I194, I195) -> f11#(I168, I169, I170, I171, I172, I173, I174, I175, I176, I177, I178, I179, I180, I181, I182, I183, I184, I185, I186, I187, I188, I189, I190, I191, I192, I193, I194, I195) [1 + I190 <= I188] 252.66/248.77 f10#(I196, I197, I198, I199, I200, I201, I202, I203, I204, I205, I206, I207, I208, I209, I210, I211, I212, I213, I214, I215, I216, I217, I218, I219, I220, I221, I222, I223) -> f11#(I196, I197, I198, I199, I200, I201, I202, I203, I204, I205, I206, I207, I208, I209, I210, I211, I212, I213, I214, I215, I216, I217, I218, I219, I220, I221, I222, I223) [1 + I216 <= I218] 252.66/248.77 f9#(I224, I225, I226, I227, I228, I229, I230, I231, I232, I233, I234, I235, I236, I237, I238, I239, I240, I241, I242, I243, I244, I245, I246, I247, I248, I249, I250, I251) -> f10#(I224, I225, I226, I227, I228, I229, I230, I231, I232, I233, I234, I235, I236, I237, I238, I239, I240, I241, I246, I243, I244, I245, I246, I247, I248, I249, I246, I251) 252.66/248.77 f8#(I252, I253, I254, I255, I256, I257, I258, I259, I260, I261, I262, I263, I264, I265, I266, I267, I268, I269, I270, I271, I272, I273, I274, I275, I276, I277, I278, I279) -> f9#(I252, I253, I254, I255, I256, I257, I258, I259, I260, I261, I262, I263, I264, I265, I266, I267, I268, I269, I270, I271, I272, I273, I274, I275, I276, I277, I278, I279) [1 + I274 <= I272] 252.66/248.77 f8#(I280, I281, I282, I283, I284, I285, I286, I287, I288, I289, I290, I291, I292, I293, I294, I295, I296, I297, I298, I299, I300, I301, I302, I303, I304, I305, I306, I307) -> f9#(I280, I281, I282, I283, I284, I285, I286, I287, I288, I289, I290, I291, I292, I293, I294, I295, I296, I297, I298, I299, I300, I301, I302, I303, I304, I305, I306, I307) [1 + I300 <= I302] 252.66/248.77 f7#(I308, I309, I310, I311, I312, I313, I314, I315, I316, I317, I318, I319, I320, I321, I322, I323, I324, I325, I326, I327, I328, I329, I330, I331, I332, I333, I334, I335) -> f8#(rnd1, I309, I310, I311, I312, I313, I314, I315, I316, I317, I318, I319, I320, I321, rnd15, rnd16, I324, I325, I326, I327, I328, I329, rnd23, I331, I332, I333, I328, I335) [0 <= -1 + I314 /\ 0 <= I316 /\ I333 <= I329 /\ I329 <= I333 /\ 0 <= I316 /\ rnd1 = rnd1 /\ 0 <= I316 /\ 0 <= I316 /\ rnd16 = rnd16 /\ 0 <= I316 /\ 0 <= I316 /\ 0 <= I316 /\ I336 = I336 /\ rnd23 = I336 /\ rnd15 = rnd15 /\ 0 <= I316] 252.66/248.77 f6#(I337, I338, I339, I340, I341, I342, I343, I344, I345, I346, I347, I348, I349, I350, I351, I352, I353, I354, I355, I356, I357, I358, I359, I360, I361, I362, I363, I364) -> f7#(I337, I338, 1, I342, I341, I342, I342, I344, 1, I346, I347, I348, rnd13, rnd14, I351, I352, I353, I354, I355, I356, I357, I365, I359, I360, I361, I362, I363, I364) [B0 = B0 /\ 0 <= I342 /\ rnd14 = rnd14 /\ I366 = I366 /\ I365 = I366 /\ rnd13 = rnd13] 252.66/248.77 f5#(I367, I368, I369, I370, I371, I372, I373, I374, I375, I376, I377, I378, I379, I380, I381, I382, I383, I384, I385, I386, I387, I388, I389, I390, I391, I392, I393, I394) -> f6#(I367, I368, I369, I370, I371, I372, I373, I374, I375, I376, I377, I378, I379, I380, I381, I382, I383, I384, I385, I386, I387, I388, I389, I390, I391, I392, I393, I394) [1 + I388 <= I392] 252.66/248.77 f5#(I395, I396, I397, I398, I399, I400, I401, I402, I403, I404, I405, I406, I407, I408, I409, I410, I411, I412, I413, I414, I415, I416, I417, I418, I419, I420, I421, I422) -> f6#(I395, I396, I397, I398, I399, I400, I401, I402, I403, I404, I405, I406, I407, I408, I409, I410, I411, I412, I413, I414, I415, I416, I417, I418, I419, I420, I421, I422) [1 + I420 <= I416] 252.66/248.77 f4#(I423, I424, I425, I426, I427, I428, I429, I430, I431, I432, I433, I434, I435, I436, I437, I438, I439, I440, I441, I442, I443, I444, I445, I446, I447, I448, I449, I450) -> f5#(I451, rnd2, I425, I426, I427, rnd6, I429, I430, I431, 2, I433, I434, I435, I436, I437, I452, rnd17, rnd18, I441, rnd20, I443, I427, I445, rnd24, rnd25, I448, I449, 0) [rnd24 = rnd24 /\ y4 = y4 /\ y5 = y5 /\ y6 = y5 /\ B1 = y6 /\ B2 = B1 /\ rnd18 = rnd18 /\ y3 = y3 /\ rnd20 = rnd20 /\ rnd25 = rnd20 /\ rnd2 = rnd25 /\ I451 = rnd2 /\ rnd17 = rnd17 /\ I452 = I452 /\ 0 <= 2 /\ 0 <= 2 /\ 0 <= 2 /\ rnd6 = 2] 252.66/248.77 f3#(I453, I454, I455, I456, I457, I458, I459, I460, I461, I462, I463, I464, I465, I466, I467, I468, I469, I470, I471, I472, I473, I474, I475, I476, I477, I478, I479, I480) -> f1#(I453, I454, I455, I456, I457, I458, I459, I460, I461, I462, I463, I464, I465, I466, I467, I468, I469, I470, I471, I472, I473, I474, I475, I476, I477, I478, I479, I480) 252.66/248.77 f2#(I481, I482, I483, I484, I485, I486, I487, I488, I489, I490, I491, I492, I493, I494, I495, I496, I497, I498, I499, I500, I501, I502, I503, I504, I505, I506, I507, I508) -> f3#(I481, I482, I483, I484, I485, I486, I487, I488, I489, I490, I491, I492, I493, I494, I495, I496, I497, I498, I503, I500, I501, I502, I503, I504, I505, I506, I503, I508) 252.66/248.77 f1#(I509, I510, I511, I512, I513, I514, I515, I516, I517, I518, I519, I520, I521, I522, I523, I524, I525, I526, I527, I528, I529, I530, I531, I532, I533, I534, I535, I536) -> f2#(I509, I510, I511, I512, I513, I514, I515, I516, I517, I518, I519, I520, I521, I522, I523, I524, I525, I526, I527, I528, I529, I530, I531, I532, I533, I534, I535, I536) [1 + I531 <= I529] 252.66/248.77 f1#(I537, I538, I539, I540, I541, I542, I543, I544, I545, I546, I547, I548, I549, I550, I551, I552, I553, I554, I555, I556, I557, I558, I559, I560, I561, I562, I563, I564) -> f2#(I537, I538, I539, I540, I541, I542, I543, I544, I545, I546, I547, I548, I549, I550, I551, I552, I553, I554, I555, I556, I557, I558, I559, I560, I561, I562, I563, I564) [1 + I557 <= I559] 252.66/248.77 R = 252.66/248.77 f15(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18, x19, x20, x21, x22, x23, x24, x25, x26, x27, x28) -> f4(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18, x19, x20, x21, x22, x23, x24, x25, x26, x27, x28) 252.66/248.77 f14(I0, I1, I2, I3, I4, I5, I6, I7, I8, I9, I10, I11, I12, I13, I14, I15, I16, I17, I18, I19, I20, I21, I22, I23, I24, I25, I26, I27) -> f7(I0, I1, I2, I3, I4, I5, I6, I7, I8, I9, I10, I11, I12, I13, I14, I15, I16, I17, I18, I19, I20, I21, I22, I23, I24, I25, I26, I27) 252.66/248.77 f13(I28, I29, I30, I31, I32, I33, I34, I35, I36, I37, I38, I39, I40, I41, I42, I43, I44, I45, I46, I47, I48, I49, I50, I51, I52, I53, I54, I55) -> f14(I28, I29, 1 + I36, I35, I32, I33, I35, I35, 1 + I36, I37, rnd11, rnd12, I40, I41, I42, I43, I44, I45, I46, I47, I48, rnd22, I50, I51, I52, I53, I54, I55) [y2 = y2 /\ 0 <= I35 /\ 0 <= I36 /\ rnd12 = rnd12 /\ y1 = y1 /\ rnd22 = y1 /\ rnd11 = rnd11] 252.66/248.77 f12(I56, I57, I58, I59, I60, I61, I62, I63, I64, I65, I66, I67, I68, I69, I70, I71, I72, I73, I74, I75, I76, I77, I78, I79, I80, I81, I82, I83) -> f13(I56, I57, I58, I59, I60, I61, I62, I63, I64, I65, I66, I67, I68, I69, I70, I71, I72, I73, I74, I75, I76, I77, I78, I79, I80, I81, I82, I83) [1 + I77 <= I81] 252.66/248.77 f12(I84, I85, I86, I87, I88, I89, I90, I91, I92, I93, I94, I95, I96, I97, I98, I99, I100, I101, I102, I103, I104, I105, I106, I107, I108, I109, I110, I111) -> f13(I84, I85, I86, I87, I88, I89, I90, I91, I92, I93, I94, I95, I96, I97, I98, I99, I100, I101, I102, I103, I104, I105, I106, I107, I108, I109, I110, I111) [1 + I109 <= I105] 252.66/248.77 f7(I112, I113, I114, I115, I116, I117, I118, I119, I120, I121, I122, I123, I124, I125, I126, I127, I128, I129, I130, I131, I132, I133, I134, I135, I136, I137, I138, I139) -> f12(I112, I113, I114, I115, I116, I117, I118, -1 + I118, I120, I121, I122, I123, I124, I125, I126, I127, I128, I129, I130, I131, I132, I133, I134, I135, I136, I137, I138, I139) [0 <= I120 /\ 0 <= -1 + I118] 252.66/248.77 f11(I140, I141, I142, I143, I144, I145, I146, I147, I148, I149, I150, I151, I152, I153, I154, I155, I156, I157, I158, I159, I160, I161, I162, I163, I164, I165, I166, I167) -> f1(I140, I141, I142, I143, I144, I145, I146, I147, I148, I149, I150, I151, I152, I153, I154, I155, I156, I157, I162, I159, I160, I161, I162, I163, I164, I165, I162, I167) 252.66/248.77 f10(I168, I169, I170, I171, I172, I173, I174, I175, I176, I177, I178, I179, I180, I181, I182, I183, I184, I185, I186, I187, I188, I189, I190, I191, I192, I193, I194, I195) -> f11(I168, I169, I170, I171, I172, I173, I174, I175, I176, I177, I178, I179, I180, I181, I182, I183, I184, I185, I186, I187, I188, I189, I190, I191, I192, I193, I194, I195) [1 + I190 <= I188] 252.66/248.77 f10(I196, I197, I198, I199, I200, I201, I202, I203, I204, I205, I206, I207, I208, I209, I210, I211, I212, I213, I214, I215, I216, I217, I218, I219, I220, I221, I222, I223) -> f11(I196, I197, I198, I199, I200, I201, I202, I203, I204, I205, I206, I207, I208, I209, I210, I211, I212, I213, I214, I215, I216, I217, I218, I219, I220, I221, I222, I223) [1 + I216 <= I218] 252.66/248.77 f9(I224, I225, I226, I227, I228, I229, I230, I231, I232, I233, I234, I235, I236, I237, I238, I239, I240, I241, I242, I243, I244, I245, I246, I247, I248, I249, I250, I251) -> f10(I224, I225, I226, I227, I228, I229, I230, I231, I232, I233, I234, I235, I236, I237, I238, I239, I240, I241, I246, I243, I244, I245, I246, I247, I248, I249, I246, I251) 252.66/248.77 f8(I252, I253, I254, I255, I256, I257, I258, I259, I260, I261, I262, I263, I264, I265, I266, I267, I268, I269, I270, I271, I272, I273, I274, I275, I276, I277, I278, I279) -> f9(I252, I253, I254, I255, I256, I257, I258, I259, I260, I261, I262, I263, I264, I265, I266, I267, I268, I269, I270, I271, I272, I273, I274, I275, I276, I277, I278, I279) [1 + I274 <= I272] 252.66/248.77 f8(I280, I281, I282, I283, I284, I285, I286, I287, I288, I289, I290, I291, I292, I293, I294, I295, I296, I297, I298, I299, I300, I301, I302, I303, I304, I305, I306, I307) -> f9(I280, I281, I282, I283, I284, I285, I286, I287, I288, I289, I290, I291, I292, I293, I294, I295, I296, I297, I298, I299, I300, I301, I302, I303, I304, I305, I306, I307) [1 + I300 <= I302] 252.66/248.77 f7(I308, I309, I310, I311, I312, I313, I314, I315, I316, I317, I318, I319, I320, I321, I322, I323, I324, I325, I326, I327, I328, I329, I330, I331, I332, I333, I334, I335) -> f8(rnd1, I309, I310, I311, I312, I313, I314, I315, I316, I317, I318, I319, I320, I321, rnd15, rnd16, I324, I325, I326, I327, I328, I329, rnd23, I331, I332, I333, I328, I335) [0 <= -1 + I314 /\ 0 <= I316 /\ I333 <= I329 /\ I329 <= I333 /\ 0 <= I316 /\ rnd1 = rnd1 /\ 0 <= I316 /\ 0 <= I316 /\ rnd16 = rnd16 /\ 0 <= I316 /\ 0 <= I316 /\ 0 <= I316 /\ I336 = I336 /\ rnd23 = I336 /\ rnd15 = rnd15 /\ 0 <= I316] 252.66/248.77 f6(I337, I338, I339, I340, I341, I342, I343, I344, I345, I346, I347, I348, I349, I350, I351, I352, I353, I354, I355, I356, I357, I358, I359, I360, I361, I362, I363, I364) -> f7(I337, I338, 1, I342, I341, I342, I342, I344, 1, I346, I347, I348, rnd13, rnd14, I351, I352, I353, I354, I355, I356, I357, I365, I359, I360, I361, I362, I363, I364) [B0 = B0 /\ 0 <= I342 /\ rnd14 = rnd14 /\ I366 = I366 /\ I365 = I366 /\ rnd13 = rnd13] 252.66/248.77 f5(I367, I368, I369, I370, I371, I372, I373, I374, I375, I376, I377, I378, I379, I380, I381, I382, I383, I384, I385, I386, I387, I388, I389, I390, I391, I392, I393, I394) -> f6(I367, I368, I369, I370, I371, I372, I373, I374, I375, I376, I377, I378, I379, I380, I381, I382, I383, I384, I385, I386, I387, I388, I389, I390, I391, I392, I393, I394) [1 + I388 <= I392] 252.66/248.77 f5(I395, I396, I397, I398, I399, I400, I401, I402, I403, I404, I405, I406, I407, I408, I409, I410, I411, I412, I413, I414, I415, I416, I417, I418, I419, I420, I421, I422) -> f6(I395, I396, I397, I398, I399, I400, I401, I402, I403, I404, I405, I406, I407, I408, I409, I410, I411, I412, I413, I414, I415, I416, I417, I418, I419, I420, I421, I422) [1 + I420 <= I416] 252.66/248.77 f4(I423, I424, I425, I426, I427, I428, I429, I430, I431, I432, I433, I434, I435, I436, I437, I438, I439, I440, I441, I442, I443, I444, I445, I446, I447, I448, I449, I450) -> f5(I451, rnd2, I425, I426, I427, rnd6, I429, I430, I431, 2, I433, I434, I435, I436, I437, I452, rnd17, rnd18, I441, rnd20, I443, I427, I445, rnd24, rnd25, I448, I449, 0) [rnd24 = rnd24 /\ y4 = y4 /\ y5 = y5 /\ y6 = y5 /\ B1 = y6 /\ B2 = B1 /\ rnd18 = rnd18 /\ y3 = y3 /\ rnd20 = rnd20 /\ rnd25 = rnd20 /\ rnd2 = rnd25 /\ I451 = rnd2 /\ rnd17 = rnd17 /\ I452 = I452 /\ 0 <= 2 /\ 0 <= 2 /\ 0 <= 2 /\ rnd6 = 2] 252.66/248.77 f3(I453, I454, I455, I456, I457, I458, I459, I460, I461, I462, I463, I464, I465, I466, I467, I468, I469, I470, I471, I472, I473, I474, I475, I476, I477, I478, I479, I480) -> f1(I453, I454, I455, I456, I457, I458, I459, I460, I461, I462, I463, I464, I465, I466, I467, I468, I469, I470, I471, I472, I473, I474, I475, I476, I477, I478, I479, I480) 252.66/248.77 f2(I481, I482, I483, I484, I485, I486, I487, I488, I489, I490, I491, I492, I493, I494, I495, I496, I497, I498, I499, I500, I501, I502, I503, I504, I505, I506, I507, I508) -> f3(I481, I482, I483, I484, I485, I486, I487, I488, I489, I490, I491, I492, I493, I494, I495, I496, I497, I498, I503, I500, I501, I502, I503, I504, I505, I506, I503, I508) 252.66/248.77 f1(I509, I510, I511, I512, I513, I514, I515, I516, I517, I518, I519, I520, I521, I522, I523, I524, I525, I526, I527, I528, I529, I530, I531, I532, I533, I534, I535, I536) -> f2(I509, I510, I511, I512, I513, I514, I515, I516, I517, I518, I519, I520, I521, I522, I523, I524, I525, I526, I527, I528, I529, I530, I531, I532, I533, I534, I535, I536) [1 + I531 <= I529] 252.66/248.77 f1(I537, I538, I539, I540, I541, I542, I543, I544, I545, I546, I547, I548, I549, I550, I551, I552, I553, I554, I555, I556, I557, I558, I559, I560, I561, I562, I563, I564) -> f2(I537, I538, I539, I540, I541, I542, I543, I544, I545, I546, I547, I548, I549, I550, I551, I552, I553, I554, I555, I556, I557, I558, I559, I560, I561, I562, I563, I564) [1 + I557 <= I559] 252.66/248.77 252.66/248.77 The dependency graph for this problem is: 252.66/248.77 0 -> 16 252.66/248.77 1 -> 5, 12 252.66/248.77 2 -> 1 252.66/248.77 3 -> 2 252.66/248.77 4 -> 2 252.66/248.77 5 -> 3, 4 252.66/248.77 6 -> 19, 20 252.66/248.77 7 -> 6 252.66/248.77 8 -> 6 252.66/248.77 9 -> 7, 8 252.66/248.77 10 -> 9 252.66/248.77 11 -> 9 252.66/248.77 12 -> 10, 11 252.66/248.77 13 -> 5, 12 252.66/248.77 14 -> 13 252.66/248.77 15 -> 13 252.66/248.77 16 -> 14, 15 252.66/248.77 17 -> 19, 20 252.66/248.77 18 -> 17 252.66/248.77 19 -> 18 252.66/248.77 20 -> 18 252.66/248.77 Where: 252.66/248.77 0) f15#(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18, x19, x20, x21, x22, x23, x24, x25, x26, x27, x28) -> f4#(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18, x19, x20, x21, x22, x23, x24, x25, x26, x27, x28) 252.66/248.77 1) f14#(I0, I1, I2, I3, I4, I5, I6, I7, I8, I9, I10, I11, I12, I13, I14, I15, I16, I17, I18, I19, I20, I21, I22, I23, I24, I25, I26, I27) -> f7#(I0, I1, I2, I3, I4, I5, I6, I7, I8, I9, I10, I11, I12, I13, I14, I15, I16, I17, I18, I19, I20, I21, I22, I23, I24, I25, I26, I27) 252.66/248.77 2) f13#(I28, I29, I30, I31, I32, I33, I34, I35, I36, I37, I38, I39, I40, I41, I42, I43, I44, I45, I46, I47, I48, I49, I50, I51, I52, I53, I54, I55) -> f14#(I28, I29, 1 + I36, I35, I32, I33, I35, I35, 1 + I36, I37, rnd11, rnd12, I40, I41, I42, I43, I44, I45, I46, I47, I48, rnd22, I50, I51, I52, I53, I54, I55) [y2 = y2 /\ 0 <= I35 /\ 0 <= I36 /\ rnd12 = rnd12 /\ y1 = y1 /\ rnd22 = y1 /\ rnd11 = rnd11] 252.66/248.77 3) f12#(I56, I57, I58, I59, I60, I61, I62, I63, I64, I65, I66, I67, I68, I69, I70, I71, I72, I73, I74, I75, I76, I77, I78, I79, I80, I81, I82, I83) -> f13#(I56, I57, I58, I59, I60, I61, I62, I63, I64, I65, I66, I67, I68, I69, I70, I71, I72, I73, I74, I75, I76, I77, I78, I79, I80, I81, I82, I83) [1 + I77 <= I81] 252.66/248.77 4) f12#(I84, I85, I86, I87, I88, I89, I90, I91, I92, I93, I94, I95, I96, I97, I98, I99, I100, I101, I102, I103, I104, I105, I106, I107, I108, I109, I110, I111) -> f13#(I84, I85, I86, I87, I88, I89, I90, I91, I92, I93, I94, I95, I96, I97, I98, I99, I100, I101, I102, I103, I104, I105, I106, I107, I108, I109, I110, I111) [1 + I109 <= I105] 252.66/248.77 5) f7#(I112, I113, I114, I115, I116, I117, I118, I119, I120, I121, I122, I123, I124, I125, I126, I127, I128, I129, I130, I131, I132, I133, I134, I135, I136, I137, I138, I139) -> f12#(I112, I113, I114, I115, I116, I117, I118, -1 + I118, I120, I121, I122, I123, I124, I125, I126, I127, I128, I129, I130, I131, I132, I133, I134, I135, I136, I137, I138, I139) [0 <= I120 /\ 0 <= -1 + I118] 252.66/248.77 6) f11#(I140, I141, I142, I143, I144, I145, I146, I147, I148, I149, I150, I151, I152, I153, I154, I155, I156, I157, I158, I159, I160, I161, I162, I163, I164, I165, I166, I167) -> f1#(I140, I141, I142, I143, I144, I145, I146, I147, I148, I149, I150, I151, I152, I153, I154, I155, I156, I157, I162, I159, I160, I161, I162, I163, I164, I165, I162, I167) 252.66/248.77 7) f10#(I168, I169, I170, I171, I172, I173, I174, I175, I176, I177, I178, I179, I180, I181, I182, I183, I184, I185, I186, I187, I188, I189, I190, I191, I192, I193, I194, I195) -> f11#(I168, I169, I170, I171, I172, I173, I174, I175, I176, I177, I178, I179, I180, I181, I182, I183, I184, I185, I186, I187, I188, I189, I190, I191, I192, I193, I194, I195) [1 + I190 <= I188] 252.66/248.77 8) f10#(I196, I197, I198, I199, I200, I201, I202, I203, I204, I205, I206, I207, I208, I209, I210, I211, I212, I213, I214, I215, I216, I217, I218, I219, I220, I221, I222, I223) -> f11#(I196, I197, I198, I199, I200, I201, I202, I203, I204, I205, I206, I207, I208, I209, I210, I211, I212, I213, I214, I215, I216, I217, I218, I219, I220, I221, I222, I223) [1 + I216 <= I218] 252.66/248.77 9) f9#(I224, I225, I226, I227, I228, I229, I230, I231, I232, I233, I234, I235, I236, I237, I238, I239, I240, I241, I242, I243, I244, I245, I246, I247, I248, I249, I250, I251) -> f10#(I224, I225, I226, I227, I228, I229, I230, I231, I232, I233, I234, I235, I236, I237, I238, I239, I240, I241, I246, I243, I244, I245, I246, I247, I248, I249, I246, I251) 252.66/248.77 10) f8#(I252, I253, I254, I255, I256, I257, I258, I259, I260, I261, I262, I263, I264, I265, I266, I267, I268, I269, I270, I271, I272, I273, I274, I275, I276, I277, I278, I279) -> f9#(I252, I253, I254, I255, I256, I257, I258, I259, I260, I261, I262, I263, I264, I265, I266, I267, I268, I269, I270, I271, I272, I273, I274, I275, I276, I277, I278, I279) [1 + I274 <= I272] 252.66/248.77 11) f8#(I280, I281, I282, I283, I284, I285, I286, I287, I288, I289, I290, I291, I292, I293, I294, I295, I296, I297, I298, I299, I300, I301, I302, I303, I304, I305, I306, I307) -> f9#(I280, I281, I282, I283, I284, I285, I286, I287, I288, I289, I290, I291, I292, I293, I294, I295, I296, I297, I298, I299, I300, I301, I302, I303, I304, I305, I306, I307) [1 + I300 <= I302] 252.66/248.77 12) f7#(I308, I309, I310, I311, I312, I313, I314, I315, I316, I317, I318, I319, I320, I321, I322, I323, I324, I325, I326, I327, I328, I329, I330, I331, I332, I333, I334, I335) -> f8#(rnd1, I309, I310, I311, I312, I313, I314, I315, I316, I317, I318, I319, I320, I321, rnd15, rnd16, I324, I325, I326, I327, I328, I329, rnd23, I331, I332, I333, I328, I335) [0 <= -1 + I314 /\ 0 <= I316 /\ I333 <= I329 /\ I329 <= I333 /\ 0 <= I316 /\ rnd1 = rnd1 /\ 0 <= I316 /\ 0 <= I316 /\ rnd16 = rnd16 /\ 0 <= I316 /\ 0 <= I316 /\ 0 <= I316 /\ I336 = I336 /\ rnd23 = I336 /\ rnd15 = rnd15 /\ 0 <= I316] 252.66/248.77 13) f6#(I337, I338, I339, I340, I341, I342, I343, I344, I345, I346, I347, I348, I349, I350, I351, I352, I353, I354, I355, I356, I357, I358, I359, I360, I361, I362, I363, I364) -> f7#(I337, I338, 1, I342, I341, I342, I342, I344, 1, I346, I347, I348, rnd13, rnd14, I351, I352, I353, I354, I355, I356, I357, I365, I359, I360, I361, I362, I363, I364) [B0 = B0 /\ 0 <= I342 /\ rnd14 = rnd14 /\ I366 = I366 /\ I365 = I366 /\ rnd13 = rnd13] 252.66/248.77 14) f5#(I367, I368, I369, I370, I371, I372, I373, I374, I375, I376, I377, I378, I379, I380, I381, I382, I383, I384, I385, I386, I387, I388, I389, I390, I391, I392, I393, I394) -> f6#(I367, I368, I369, I370, I371, I372, I373, I374, I375, I376, I377, I378, I379, I380, I381, I382, I383, I384, I385, I386, I387, I388, I389, I390, I391, I392, I393, I394) [1 + I388 <= I392] 252.66/248.77 15) f5#(I395, I396, I397, I398, I399, I400, I401, I402, I403, I404, I405, I406, I407, I408, I409, I410, I411, I412, I413, I414, I415, I416, I417, I418, I419, I420, I421, I422) -> f6#(I395, I396, I397, I398, I399, I400, I401, I402, I403, I404, I405, I406, I407, I408, I409, I410, I411, I412, I413, I414, I415, I416, I417, I418, I419, I420, I421, I422) [1 + I420 <= I416] 252.66/248.77 16) f4#(I423, I424, I425, I426, I427, I428, I429, I430, I431, I432, I433, I434, I435, I436, I437, I438, I439, I440, I441, I442, I443, I444, I445, I446, I447, I448, I449, I450) -> f5#(I451, rnd2, I425, I426, I427, rnd6, I429, I430, I431, 2, I433, I434, I435, I436, I437, I452, rnd17, rnd18, I441, rnd20, I443, I427, I445, rnd24, rnd25, I448, I449, 0) [rnd24 = rnd24 /\ y4 = y4 /\ y5 = y5 /\ y6 = y5 /\ B1 = y6 /\ B2 = B1 /\ rnd18 = rnd18 /\ y3 = y3 /\ rnd20 = rnd20 /\ rnd25 = rnd20 /\ rnd2 = rnd25 /\ I451 = rnd2 /\ rnd17 = rnd17 /\ I452 = I452 /\ 0 <= 2 /\ 0 <= 2 /\ 0 <= 2 /\ rnd6 = 2] 252.66/248.77 17) f3#(I453, I454, I455, I456, I457, I458, I459, I460, I461, I462, I463, I464, I465, I466, I467, I468, I469, I470, I471, I472, I473, I474, I475, I476, I477, I478, I479, I480) -> f1#(I453, I454, I455, I456, I457, I458, I459, I460, I461, I462, I463, I464, I465, I466, I467, I468, I469, I470, I471, I472, I473, I474, I475, I476, I477, I478, I479, I480) 252.66/248.77 18) f2#(I481, I482, I483, I484, I485, I486, I487, I488, I489, I490, I491, I492, I493, I494, I495, I496, I497, I498, I499, I500, I501, I502, I503, I504, I505, I506, I507, I508) -> f3#(I481, I482, I483, I484, I485, I486, I487, I488, I489, I490, I491, I492, I493, I494, I495, I496, I497, I498, I503, I500, I501, I502, I503, I504, I505, I506, I503, I508) 252.66/248.77 19) f1#(I509, I510, I511, I512, I513, I514, I515, I516, I517, I518, I519, I520, I521, I522, I523, I524, I525, I526, I527, I528, I529, I530, I531, I532, I533, I534, I535, I536) -> f2#(I509, I510, I511, I512, I513, I514, I515, I516, I517, I518, I519, I520, I521, I522, I523, I524, I525, I526, I527, I528, I529, I530, I531, I532, I533, I534, I535, I536) [1 + I531 <= I529] 252.66/248.77 20) f1#(I537, I538, I539, I540, I541, I542, I543, I544, I545, I546, I547, I548, I549, I550, I551, I552, I553, I554, I555, I556, I557, I558, I559, I560, I561, I562, I563, I564) -> f2#(I537, I538, I539, I540, I541, I542, I543, I544, I545, I546, I547, I548, I549, I550, I551, I552, I553, I554, I555, I556, I557, I558, I559, I560, I561, I562, I563, I564) [1 + I557 <= I559] 252.66/248.77 252.66/248.77 We have the following SCCs. 252.66/248.77 { 1, 2, 3, 4, 5 } 252.66/248.77 { 17, 18, 19, 20 } 252.66/248.77 252.66/248.77 DP problem for innermost termination. 252.66/248.77 P = 252.66/248.77 f3#(I453, I454, I455, I456, I457, I458, I459, I460, I461, I462, I463, I464, I465, I466, I467, I468, I469, I470, I471, I472, I473, I474, I475, I476, I477, I478, I479, I480) -> f1#(I453, I454, I455, I456, I457, I458, I459, I460, I461, I462, I463, I464, I465, I466, I467, I468, I469, I470, I471, I472, I473, I474, I475, I476, I477, I478, I479, I480) 252.66/248.77 f2#(I481, I482, I483, I484, I485, I486, I487, I488, I489, I490, I491, I492, I493, I494, I495, I496, I497, I498, I499, I500, I501, I502, I503, I504, I505, I506, I507, I508) -> f3#(I481, I482, I483, I484, I485, I486, I487, I488, I489, I490, I491, I492, I493, I494, I495, I496, I497, I498, I503, I500, I501, I502, I503, I504, I505, I506, I503, I508) 252.66/248.77 f1#(I509, I510, I511, I512, I513, I514, I515, I516, I517, I518, I519, I520, I521, I522, I523, I524, I525, I526, I527, I528, I529, I530, I531, I532, I533, I534, I535, I536) -> f2#(I509, I510, I511, I512, I513, I514, I515, I516, I517, I518, I519, I520, I521, I522, I523, I524, I525, I526, I527, I528, I529, I530, I531, I532, I533, I534, I535, I536) [1 + I531 <= I529] 252.66/248.77 f1#(I537, I538, I539, I540, I541, I542, I543, I544, I545, I546, I547, I548, I549, I550, I551, I552, I553, I554, I555, I556, I557, I558, I559, I560, I561, I562, I563, I564) -> f2#(I537, I538, I539, I540, I541, I542, I543, I544, I545, I546, I547, I548, I549, I550, I551, I552, I553, I554, I555, I556, I557, I558, I559, I560, I561, I562, I563, I564) [1 + I557 <= I559] 252.66/248.77 R = 252.66/248.77 f15(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18, x19, x20, x21, x22, x23, x24, x25, x26, x27, x28) -> f4(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18, x19, x20, x21, x22, x23, x24, x25, x26, x27, x28) 252.66/248.77 f14(I0, I1, I2, I3, I4, I5, I6, I7, I8, I9, I10, I11, I12, I13, I14, I15, I16, I17, I18, I19, I20, I21, I22, I23, I24, I25, I26, I27) -> f7(I0, I1, I2, I3, I4, I5, I6, I7, I8, I9, I10, I11, I12, I13, I14, I15, I16, I17, I18, I19, I20, I21, I22, I23, I24, I25, I26, I27) 252.66/248.77 f13(I28, I29, I30, I31, I32, I33, I34, I35, I36, I37, I38, I39, I40, I41, I42, I43, I44, I45, I46, I47, I48, I49, I50, I51, I52, I53, I54, I55) -> f14(I28, I29, 1 + I36, I35, I32, I33, I35, I35, 1 + I36, I37, rnd11, rnd12, I40, I41, I42, I43, I44, I45, I46, I47, I48, rnd22, I50, I51, I52, I53, I54, I55) [y2 = y2 /\ 0 <= I35 /\ 0 <= I36 /\ rnd12 = rnd12 /\ y1 = y1 /\ rnd22 = y1 /\ rnd11 = rnd11] 252.66/248.77 f12(I56, I57, I58, I59, I60, I61, I62, I63, I64, I65, I66, I67, I68, I69, I70, I71, I72, I73, I74, I75, I76, I77, I78, I79, I80, I81, I82, I83) -> f13(I56, I57, I58, I59, I60, I61, I62, I63, I64, I65, I66, I67, I68, I69, I70, I71, I72, I73, I74, I75, I76, I77, I78, I79, I80, I81, I82, I83) [1 + I77 <= I81] 252.66/248.77 f12(I84, I85, I86, I87, I88, I89, I90, I91, I92, I93, I94, I95, I96, I97, I98, I99, I100, I101, I102, I103, I104, I105, I106, I107, I108, I109, I110, I111) -> f13(I84, I85, I86, I87, I88, I89, I90, I91, I92, I93, I94, I95, I96, I97, I98, I99, I100, I101, I102, I103, I104, I105, I106, I107, I108, I109, I110, I111) [1 + I109 <= I105] 252.66/248.77 f7(I112, I113, I114, I115, I116, I117, I118, I119, I120, I121, I122, I123, I124, I125, I126, I127, I128, I129, I130, I131, I132, I133, I134, I135, I136, I137, I138, I139) -> f12(I112, I113, I114, I115, I116, I117, I118, -1 + I118, I120, I121, I122, I123, I124, I125, I126, I127, I128, I129, I130, I131, I132, I133, I134, I135, I136, I137, I138, I139) [0 <= I120 /\ 0 <= -1 + I118] 252.66/248.77 f11(I140, I141, I142, I143, I144, I145, I146, I147, I148, I149, I150, I151, I152, I153, I154, I155, I156, I157, I158, I159, I160, I161, I162, I163, I164, I165, I166, I167) -> f1(I140, I141, I142, I143, I144, I145, I146, I147, I148, I149, I150, I151, I152, I153, I154, I155, I156, I157, I162, I159, I160, I161, I162, I163, I164, I165, I162, I167) 252.66/248.77 f10(I168, I169, I170, I171, I172, I173, I174, I175, I176, I177, I178, I179, I180, I181, I182, I183, I184, I185, I186, I187, I188, I189, I190, I191, I192, I193, I194, I195) -> f11(I168, I169, I170, I171, I172, I173, I174, I175, I176, I177, I178, I179, I180, I181, I182, I183, I184, I185, I186, I187, I188, I189, I190, I191, I192, I193, I194, I195) [1 + I190 <= I188] 252.66/248.77 f10(I196, I197, I198, I199, I200, I201, I202, I203, I204, I205, I206, I207, I208, I209, I210, I211, I212, I213, I214, I215, I216, I217, I218, I219, I220, I221, I222, I223) -> f11(I196, I197, I198, I199, I200, I201, I202, I203, I204, I205, I206, I207, I208, I209, I210, I211, I212, I213, I214, I215, I216, I217, I218, I219, I220, I221, I222, I223) [1 + I216 <= I218] 252.66/248.77 f9(I224, I225, I226, I227, I228, I229, I230, I231, I232, I233, I234, I235, I236, I237, I238, I239, I240, I241, I242, I243, I244, I245, I246, I247, I248, I249, I250, I251) -> f10(I224, I225, I226, I227, I228, I229, I230, I231, I232, I233, I234, I235, I236, I237, I238, I239, I240, I241, I246, I243, I244, I245, I246, I247, I248, I249, I246, I251) 252.66/248.77 f8(I252, I253, I254, I255, I256, I257, I258, I259, I260, I261, I262, I263, I264, I265, I266, I267, I268, I269, I270, I271, I272, I273, I274, I275, I276, I277, I278, I279) -> f9(I252, I253, I254, I255, I256, I257, I258, I259, I260, I261, I262, I263, I264, I265, I266, I267, I268, I269, I270, I271, I272, I273, I274, I275, I276, I277, I278, I279) [1 + I274 <= I272] 252.66/248.77 f8(I280, I281, I282, I283, I284, I285, I286, I287, I288, I289, I290, I291, I292, I293, I294, I295, I296, I297, I298, I299, I300, I301, I302, I303, I304, I305, I306, I307) -> f9(I280, I281, I282, I283, I284, I285, I286, I287, I288, I289, I290, I291, I292, I293, I294, I295, I296, I297, I298, I299, I300, I301, I302, I303, I304, I305, I306, I307) [1 + I300 <= I302] 252.66/248.77 f7(I308, I309, I310, I311, I312, I313, I314, I315, I316, I317, I318, I319, I320, I321, I322, I323, I324, I325, I326, I327, I328, I329, I330, I331, I332, I333, I334, I335) -> f8(rnd1, I309, I310, I311, I312, I313, I314, I315, I316, I317, I318, I319, I320, I321, rnd15, rnd16, I324, I325, I326, I327, I328, I329, rnd23, I331, I332, I333, I328, I335) [0 <= -1 + I314 /\ 0 <= I316 /\ I333 <= I329 /\ I329 <= I333 /\ 0 <= I316 /\ rnd1 = rnd1 /\ 0 <= I316 /\ 0 <= I316 /\ rnd16 = rnd16 /\ 0 <= I316 /\ 0 <= I316 /\ 0 <= I316 /\ I336 = I336 /\ rnd23 = I336 /\ rnd15 = rnd15 /\ 0 <= I316] 252.66/248.77 f6(I337, I338, I339, I340, I341, I342, I343, I344, I345, I346, I347, I348, I349, I350, I351, I352, I353, I354, I355, I356, I357, I358, I359, I360, I361, I362, I363, I364) -> f7(I337, I338, 1, I342, I341, I342, I342, I344, 1, I346, I347, I348, rnd13, rnd14, I351, I352, I353, I354, I355, I356, I357, I365, I359, I360, I361, I362, I363, I364) [B0 = B0 /\ 0 <= I342 /\ rnd14 = rnd14 /\ I366 = I366 /\ I365 = I366 /\ rnd13 = rnd13] 252.66/248.77 f5(I367, I368, I369, I370, I371, I372, I373, I374, I375, I376, I377, I378, I379, I380, I381, I382, I383, I384, I385, I386, I387, I388, I389, I390, I391, I392, I393, I394) -> f6(I367, I368, I369, I370, I371, I372, I373, I374, I375, I376, I377, I378, I379, I380, I381, I382, I383, I384, I385, I386, I387, I388, I389, I390, I391, I392, I393, I394) [1 + I388 <= I392] 252.66/248.77 f5(I395, I396, I397, I398, I399, I400, I401, I402, I403, I404, I405, I406, I407, I408, I409, I410, I411, I412, I413, I414, I415, I416, I417, I418, I419, I420, I421, I422) -> f6(I395, I396, I397, I398, I399, I400, I401, I402, I403, I404, I405, I406, I407, I408, I409, I410, I411, I412, I413, I414, I415, I416, I417, I418, I419, I420, I421, I422) [1 + I420 <= I416] 252.66/248.77 f4(I423, I424, I425, I426, I427, I428, I429, I430, I431, I432, I433, I434, I435, I436, I437, I438, I439, I440, I441, I442, I443, I444, I445, I446, I447, I448, I449, I450) -> f5(I451, rnd2, I425, I426, I427, rnd6, I429, I430, I431, 2, I433, I434, I435, I436, I437, I452, rnd17, rnd18, I441, rnd20, I443, I427, I445, rnd24, rnd25, I448, I449, 0) [rnd24 = rnd24 /\ y4 = y4 /\ y5 = y5 /\ y6 = y5 /\ B1 = y6 /\ B2 = B1 /\ rnd18 = rnd18 /\ y3 = y3 /\ rnd20 = rnd20 /\ rnd25 = rnd20 /\ rnd2 = rnd25 /\ I451 = rnd2 /\ rnd17 = rnd17 /\ I452 = I452 /\ 0 <= 2 /\ 0 <= 2 /\ 0 <= 2 /\ rnd6 = 2] 252.66/248.77 f3(I453, I454, I455, I456, I457, I458, I459, I460, I461, I462, I463, I464, I465, I466, I467, I468, I469, I470, I471, I472, I473, I474, I475, I476, I477, I478, I479, I480) -> f1(I453, I454, I455, I456, I457, I458, I459, I460, I461, I462, I463, I464, I465, I466, I467, I468, I469, I470, I471, I472, I473, I474, I475, I476, I477, I478, I479, I480) 252.66/248.77 f2(I481, I482, I483, I484, I485, I486, I487, I488, I489, I490, I491, I492, I493, I494, I495, I496, I497, I498, I499, I500, I501, I502, I503, I504, I505, I506, I507, I508) -> f3(I481, I482, I483, I484, I485, I486, I487, I488, I489, I490, I491, I492, I493, I494, I495, I496, I497, I498, I503, I500, I501, I502, I503, I504, I505, I506, I503, I508) 252.66/248.77 f1(I509, I510, I511, I512, I513, I514, I515, I516, I517, I518, I519, I520, I521, I522, I523, I524, I525, I526, I527, I528, I529, I530, I531, I532, I533, I534, I535, I536) -> f2(I509, I510, I511, I512, I513, I514, I515, I516, I517, I518, I519, I520, I521, I522, I523, I524, I525, I526, I527, I528, I529, I530, I531, I532, I533, I534, I535, I536) [1 + I531 <= I529] 252.66/248.77 f1(I537, I538, I539, I540, I541, I542, I543, I544, I545, I546, I547, I548, I549, I550, I551, I552, I553, I554, I555, I556, I557, I558, I559, I560, I561, I562, I563, I564) -> f2(I537, I538, I539, I540, I541, I542, I543, I544, I545, I546, I547, I548, I549, I550, I551, I552, I553, I554, I555, I556, I557, I558, I559, I560, I561, I562, I563, I564) [1 + I557 <= I559] 252.66/248.77 252.66/248.77 EOF