1.58/1.62 YES 1.58/1.62 1.58/1.62 DP problem for innermost termination. 1.58/1.62 P = 1.58/1.62 init#(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18, x19, x20, x21, x22, x23) -> f3#(rnd1, rnd2, rnd3, rnd4, rnd5, rnd6, rnd7, rnd8, rnd9, rnd10, rnd11, rnd12, rnd13, rnd14, rnd15, rnd16, rnd17, rnd18, rnd19, rnd20, rnd21, rnd22, rnd23) 1.58/1.62 f6#(I0, I1, I2, I3, I4, I5, I6, I7, I8, I9, I10, I11, I12, I13, I14, I15, I16, I17, I18, I19, I20, I21, I22) -> f6#(I23, I1 - 1, 0, 1, 1, I24, I25, I7, I26, I9, I27, I11, 0, I28, 2, I29, I30, I31, I32, I19 + 1, I33, I21 + 1, I22 + 1) [0 <= I1 - 1 /\ -1 <= y1 - 1 /\ 0 <= I5 - 1 /\ 0 <= I2 - 1 /\ -1 <= I19 - 1 /\ I19 <= y1 - 1 /\ 0 <= I9 - 1 /\ 0 <= I11 - 1 /\ -1 <= y2 - 1 /\ 0 <= I18 - 1 /\ 0 <= I17 - 1 /\ 0 <= I16 - 1 /\ 0 <= I7 - 1 /\ -1 <= I22 - 1 /\ -1 <= I21 - 1 /\ 11 <= I0 - 1 /\ 13 <= I23 - 1 /\ I20 + 9 <= I0 /\ I22 + 3 <= I0 /\ I21 + 5 <= I0 /\ I7 = I8 /\ I9 = I10 /\ I11 = I12 /\ I6 = I15] 1.58/1.62 f6#(I34, I35, I36, I37, I38, I39, I40, I41, I42, I43, I44, I45, I46, I47, I48, I49, I50, I51, I52, I53, I54, I55, I56) -> f6#(I57, I35 - 1, I36, I58, I59, I39, I40, I41, I60, I43, I61, I45, I62, I63, I64, I65, I66, I67, I68, I53 + 1, I69, I55 + 1, I56 + 1) [0 <= I35 - 1 /\ -1 <= I70 - 1 /\ 0 <= I39 - 1 /\ 0 <= I36 - 1 /\ -1 <= I53 - 1 /\ I53 <= I70 - 1 /\ 0 <= I43 - 1 /\ 0 <= I37 - 1 /\ 0 <= I46 - 1 /\ 0 <= I44 - 1 /\ 0 <= I45 - 1 /\ -1 <= I71 - 1 /\ 0 <= I42 - 1 /\ 0 <= I38 - 1 /\ 0 <= I52 - 1 /\ 0 <= I47 - 1 /\ 0 <= I51 - 1 /\ 0 <= I50 - 1 /\ 0 <= I48 - 1 /\ 0 <= I49 - 1 /\ -1 <= I56 - 1 /\ -1 <= I55 - 1 /\ 9 <= I34 - 1 /\ 9 <= I57 - 1 /\ I54 + 9 <= I34 /\ I56 + 3 <= I34 /\ I55 + 5 <= I34] 1.58/1.62 f2#(I72, I73, I74, I75, I76, I77, I78, I79, I80, I81, I82, I83, I84, I85, I86, I87, I88, I89, I90, I91, I92, I93, I94) -> f6#(I95, I72, I84, I82, I78, I83, I77, I96, I74, I85, I76, 0, I75, I79, I80, I81, I86, I87, I88, I90, I97, I91, I92) [I91 + 5 <= I73 /\ I92 + 3 <= I73 /\ 11 <= I95 - 1 /\ 11 <= I73 - 1] 1.58/1.62 f3#(I98, I99, I100, I101, I102, I103, I104, I105, I106, I107, I108, I109, I110, I111, I112, I113, I114, I115, I116, I117, I118, I119, I120) -> f1#(I121, I122, I123, I124, 1, 0, 0, I125, I126, I127, I128, I129, I130, I131, I132, I133, I134, I135, I136, I137, I138, I139, I140) [7 <= I122 - 1 /\ 0 <= I98 - 1 /\ I122 - 7 <= I98 /\ 0 <= I99 - 1 /\ -1 <= I121 - 1] 1.58/1.62 f1#(I231, I232, I233, I234, I235, I236, I237, I238, I239, I240, I241, I242, I243, I244, I245, I246, I247, I248, I249, I250, I251, I252, I253) -> f2#(I231, I254, 0, 0, I233, I255, I256, 0, 0, 0, I257, I258, I259, I260, I233, I234, I234, I261, I235, I236, I237, I262, I263) [I255 = I256 /\ I236 + 5 <= I232 /\ I237 + 3 <= I232 /\ 9 <= I254 - 1 /\ 9 <= I232 - 1 /\ I254 <= I232] 1.58/1.62 R = 1.58/1.62 init(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18, x19, x20, x21, x22, x23) -> f3(rnd1, rnd2, rnd3, rnd4, rnd5, rnd6, rnd7, rnd8, rnd9, rnd10, rnd11, rnd12, rnd13, rnd14, rnd15, rnd16, rnd17, rnd18, rnd19, rnd20, rnd21, rnd22, rnd23) 1.58/1.62 f6(I0, I1, I2, I3, I4, I5, I6, I7, I8, I9, I10, I11, I12, I13, I14, I15, I16, I17, I18, I19, I20, I21, I22) -> f6(I23, I1 - 1, 0, 1, 1, I24, I25, I7, I26, I9, I27, I11, 0, I28, 2, I29, I30, I31, I32, I19 + 1, I33, I21 + 1, I22 + 1) [0 <= I1 - 1 /\ -1 <= y1 - 1 /\ 0 <= I5 - 1 /\ 0 <= I2 - 1 /\ -1 <= I19 - 1 /\ I19 <= y1 - 1 /\ 0 <= I9 - 1 /\ 0 <= I11 - 1 /\ -1 <= y2 - 1 /\ 0 <= I18 - 1 /\ 0 <= I17 - 1 /\ 0 <= I16 - 1 /\ 0 <= I7 - 1 /\ -1 <= I22 - 1 /\ -1 <= I21 - 1 /\ 11 <= I0 - 1 /\ 13 <= I23 - 1 /\ I20 + 9 <= I0 /\ I22 + 3 <= I0 /\ I21 + 5 <= I0 /\ I7 = I8 /\ I9 = I10 /\ I11 = I12 /\ I6 = I15] 1.58/1.62 f6(I34, I35, I36, I37, I38, I39, I40, I41, I42, I43, I44, I45, I46, I47, I48, I49, I50, I51, I52, I53, I54, I55, I56) -> f6(I57, I35 - 1, I36, I58, I59, I39, I40, I41, I60, I43, I61, I45, I62, I63, I64, I65, I66, I67, I68, I53 + 1, I69, I55 + 1, I56 + 1) [0 <= I35 - 1 /\ -1 <= I70 - 1 /\ 0 <= I39 - 1 /\ 0 <= I36 - 1 /\ -1 <= I53 - 1 /\ I53 <= I70 - 1 /\ 0 <= I43 - 1 /\ 0 <= I37 - 1 /\ 0 <= I46 - 1 /\ 0 <= I44 - 1 /\ 0 <= I45 - 1 /\ -1 <= I71 - 1 /\ 0 <= I42 - 1 /\ 0 <= I38 - 1 /\ 0 <= I52 - 1 /\ 0 <= I47 - 1 /\ 0 <= I51 - 1 /\ 0 <= I50 - 1 /\ 0 <= I48 - 1 /\ 0 <= I49 - 1 /\ -1 <= I56 - 1 /\ -1 <= I55 - 1 /\ 9 <= I34 - 1 /\ 9 <= I57 - 1 /\ I54 + 9 <= I34 /\ I56 + 3 <= I34 /\ I55 + 5 <= I34] 1.58/1.62 f2(I72, I73, I74, I75, I76, I77, I78, I79, I80, I81, I82, I83, I84, I85, I86, I87, I88, I89, I90, I91, I92, I93, I94) -> f6(I95, I72, I84, I82, I78, I83, I77, I96, I74, I85, I76, 0, I75, I79, I80, I81, I86, I87, I88, I90, I97, I91, I92) [I91 + 5 <= I73 /\ I92 + 3 <= I73 /\ 11 <= I95 - 1 /\ 11 <= I73 - 1] 1.58/1.62 f3(I98, I99, I100, I101, I102, I103, I104, I105, I106, I107, I108, I109, I110, I111, I112, I113, I114, I115, I116, I117, I118, I119, I120) -> f1(I121, I122, I123, I124, 1, 0, 0, I125, I126, I127, I128, I129, I130, I131, I132, I133, I134, I135, I136, I137, I138, I139, I140) [7 <= I122 - 1 /\ 0 <= I98 - 1 /\ I122 - 7 <= I98 /\ 0 <= I99 - 1 /\ -1 <= I121 - 1] 1.58/1.62 f5(I141, I142, I143, I144, I145, I146, I147, I148, I149, I150, I151, I152, I153, I154, I155, I156, I157, I158, I159, I160, I161, I162, I163) -> f4(I164, I145, I143, I144, I165, I166, I167, I168, I169, I170, I171, I172, I173, I174, I175, I176, I177, I178, I179, I180, I181, I182, I183) [I148 + 5 <= I142 /\ I149 + 3 <= I142 /\ I147 + 7 <= I142 /\ I146 + 7 <= I142 /\ 5 <= I164 - 1 /\ 5 <= I142 - 1 /\ 0 <= I141 - 1] 1.58/1.62 f3(I184, I185, I186, I187, I188, I189, I190, I191, I192, I193, I194, I195, I196, I197, I198, I199, I200, I201, I202, I203, I204, I205, I206) -> f4(I207, I208, I209, I210, I211, I212, I213, I214, I215, I216, I217, I218, I219, I220, I221, I222, I223, I224, I225, I226, I227, I228, I229) [-1 <= I230 - 1 /\ 0 <= I185 - 1 /\ 0 <= I184 - 1 /\ 5 <= I207 - 1] 1.58/1.62 f1(I231, I232, I233, I234, I235, I236, I237, I238, I239, I240, I241, I242, I243, I244, I245, I246, I247, I248, I249, I250, I251, I252, I253) -> f2(I231, I254, 0, 0, I233, I255, I256, 0, 0, 0, I257, I258, I259, I260, I233, I234, I234, I261, I235, I236, I237, I262, I263) [I255 = I256 /\ I236 + 5 <= I232 /\ I237 + 3 <= I232 /\ 9 <= I254 - 1 /\ 9 <= I232 - 1 /\ I254 <= I232] 1.58/1.62 1.58/1.62 The dependency graph for this problem is: 1.58/1.62 0 -> 4 1.58/1.62 1 -> 1.58/1.62 2 -> 1, 2 1.58/1.62 3 -> 1.58/1.62 4 -> 5 1.58/1.62 5 -> 3 1.58/1.62 Where: 1.58/1.62 0) init#(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18, x19, x20, x21, x22, x23) -> f3#(rnd1, rnd2, rnd3, rnd4, rnd5, rnd6, rnd7, rnd8, rnd9, rnd10, rnd11, rnd12, rnd13, rnd14, rnd15, rnd16, rnd17, rnd18, rnd19, rnd20, rnd21, rnd22, rnd23) 1.58/1.62 1) f6#(I0, I1, I2, I3, I4, I5, I6, I7, I8, I9, I10, I11, I12, I13, I14, I15, I16, I17, I18, I19, I20, I21, I22) -> f6#(I23, I1 - 1, 0, 1, 1, I24, I25, I7, I26, I9, I27, I11, 0, I28, 2, I29, I30, I31, I32, I19 + 1, I33, I21 + 1, I22 + 1) [0 <= I1 - 1 /\ -1 <= y1 - 1 /\ 0 <= I5 - 1 /\ 0 <= I2 - 1 /\ -1 <= I19 - 1 /\ I19 <= y1 - 1 /\ 0 <= I9 - 1 /\ 0 <= I11 - 1 /\ -1 <= y2 - 1 /\ 0 <= I18 - 1 /\ 0 <= I17 - 1 /\ 0 <= I16 - 1 /\ 0 <= I7 - 1 /\ -1 <= I22 - 1 /\ -1 <= I21 - 1 /\ 11 <= I0 - 1 /\ 13 <= I23 - 1 /\ I20 + 9 <= I0 /\ I22 + 3 <= I0 /\ I21 + 5 <= I0 /\ I7 = I8 /\ I9 = I10 /\ I11 = I12 /\ I6 = I15] 1.58/1.62 2) f6#(I34, I35, I36, I37, I38, I39, I40, I41, I42, I43, I44, I45, I46, I47, I48, I49, I50, I51, I52, I53, I54, I55, I56) -> f6#(I57, I35 - 1, I36, I58, I59, I39, I40, I41, I60, I43, I61, I45, I62, I63, I64, I65, I66, I67, I68, I53 + 1, I69, I55 + 1, I56 + 1) [0 <= I35 - 1 /\ -1 <= I70 - 1 /\ 0 <= I39 - 1 /\ 0 <= I36 - 1 /\ -1 <= I53 - 1 /\ I53 <= I70 - 1 /\ 0 <= I43 - 1 /\ 0 <= I37 - 1 /\ 0 <= I46 - 1 /\ 0 <= I44 - 1 /\ 0 <= I45 - 1 /\ -1 <= I71 - 1 /\ 0 <= I42 - 1 /\ 0 <= I38 - 1 /\ 0 <= I52 - 1 /\ 0 <= I47 - 1 /\ 0 <= I51 - 1 /\ 0 <= I50 - 1 /\ 0 <= I48 - 1 /\ 0 <= I49 - 1 /\ -1 <= I56 - 1 /\ -1 <= I55 - 1 /\ 9 <= I34 - 1 /\ 9 <= I57 - 1 /\ I54 + 9 <= I34 /\ I56 + 3 <= I34 /\ I55 + 5 <= I34] 1.58/1.62 3) f2#(I72, I73, I74, I75, I76, I77, I78, I79, I80, I81, I82, I83, I84, I85, I86, I87, I88, I89, I90, I91, I92, I93, I94) -> f6#(I95, I72, I84, I82, I78, I83, I77, I96, I74, I85, I76, 0, I75, I79, I80, I81, I86, I87, I88, I90, I97, I91, I92) [I91 + 5 <= I73 /\ I92 + 3 <= I73 /\ 11 <= I95 - 1 /\ 11 <= I73 - 1] 1.58/1.62 4) f3#(I98, I99, I100, I101, I102, I103, I104, I105, I106, I107, I108, I109, I110, I111, I112, I113, I114, I115, I116, I117, I118, I119, I120) -> f1#(I121, I122, I123, I124, 1, 0, 0, I125, I126, I127, I128, I129, I130, I131, I132, I133, I134, I135, I136, I137, I138, I139, I140) [7 <= I122 - 1 /\ 0 <= I98 - 1 /\ I122 - 7 <= I98 /\ 0 <= I99 - 1 /\ -1 <= I121 - 1] 1.58/1.62 5) f1#(I231, I232, I233, I234, I235, I236, I237, I238, I239, I240, I241, I242, I243, I244, I245, I246, I247, I248, I249, I250, I251, I252, I253) -> f2#(I231, I254, 0, 0, I233, I255, I256, 0, 0, 0, I257, I258, I259, I260, I233, I234, I234, I261, I235, I236, I237, I262, I263) [I255 = I256 /\ I236 + 5 <= I232 /\ I237 + 3 <= I232 /\ 9 <= I254 - 1 /\ 9 <= I232 - 1 /\ I254 <= I232] 1.58/1.62 1.58/1.62 We have the following SCCs. 1.58/1.62 { 2 } 1.58/1.62 1.58/1.62 DP problem for innermost termination. 1.58/1.62 P = 1.58/1.62 f6#(I34, I35, I36, I37, I38, I39, I40, I41, I42, I43, I44, I45, I46, I47, I48, I49, I50, I51, I52, I53, I54, I55, I56) -> f6#(I57, I35 - 1, I36, I58, I59, I39, I40, I41, I60, I43, I61, I45, I62, I63, I64, I65, I66, I67, I68, I53 + 1, I69, I55 + 1, I56 + 1) [0 <= I35 - 1 /\ -1 <= I70 - 1 /\ 0 <= I39 - 1 /\ 0 <= I36 - 1 /\ -1 <= I53 - 1 /\ I53 <= I70 - 1 /\ 0 <= I43 - 1 /\ 0 <= I37 - 1 /\ 0 <= I46 - 1 /\ 0 <= I44 - 1 /\ 0 <= I45 - 1 /\ -1 <= I71 - 1 /\ 0 <= I42 - 1 /\ 0 <= I38 - 1 /\ 0 <= I52 - 1 /\ 0 <= I47 - 1 /\ 0 <= I51 - 1 /\ 0 <= I50 - 1 /\ 0 <= I48 - 1 /\ 0 <= I49 - 1 /\ -1 <= I56 - 1 /\ -1 <= I55 - 1 /\ 9 <= I34 - 1 /\ 9 <= I57 - 1 /\ I54 + 9 <= I34 /\ I56 + 3 <= I34 /\ I55 + 5 <= I34] 1.58/1.62 R = 1.58/1.62 init(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18, x19, x20, x21, x22, x23) -> f3(rnd1, rnd2, rnd3, rnd4, rnd5, rnd6, rnd7, rnd8, rnd9, rnd10, rnd11, rnd12, rnd13, rnd14, rnd15, rnd16, rnd17, rnd18, rnd19, rnd20, rnd21, rnd22, rnd23) 1.58/1.62 f6(I0, I1, I2, I3, I4, I5, I6, I7, I8, I9, I10, I11, I12, I13, I14, I15, I16, I17, I18, I19, I20, I21, I22) -> f6(I23, I1 - 1, 0, 1, 1, I24, I25, I7, I26, I9, I27, I11, 0, I28, 2, I29, I30, I31, I32, I19 + 1, I33, I21 + 1, I22 + 1) [0 <= I1 - 1 /\ -1 <= y1 - 1 /\ 0 <= I5 - 1 /\ 0 <= I2 - 1 /\ -1 <= I19 - 1 /\ I19 <= y1 - 1 /\ 0 <= I9 - 1 /\ 0 <= I11 - 1 /\ -1 <= y2 - 1 /\ 0 <= I18 - 1 /\ 0 <= I17 - 1 /\ 0 <= I16 - 1 /\ 0 <= I7 - 1 /\ -1 <= I22 - 1 /\ -1 <= I21 - 1 /\ 11 <= I0 - 1 /\ 13 <= I23 - 1 /\ I20 + 9 <= I0 /\ I22 + 3 <= I0 /\ I21 + 5 <= I0 /\ I7 = I8 /\ I9 = I10 /\ I11 = I12 /\ I6 = I15] 1.58/1.62 f6(I34, I35, I36, I37, I38, I39, I40, I41, I42, I43, I44, I45, I46, I47, I48, I49, I50, I51, I52, I53, I54, I55, I56) -> f6(I57, I35 - 1, I36, I58, I59, I39, I40, I41, I60, I43, I61, I45, I62, I63, I64, I65, I66, I67, I68, I53 + 1, I69, I55 + 1, I56 + 1) [0 <= I35 - 1 /\ -1 <= I70 - 1 /\ 0 <= I39 - 1 /\ 0 <= I36 - 1 /\ -1 <= I53 - 1 /\ I53 <= I70 - 1 /\ 0 <= I43 - 1 /\ 0 <= I37 - 1 /\ 0 <= I46 - 1 /\ 0 <= I44 - 1 /\ 0 <= I45 - 1 /\ -1 <= I71 - 1 /\ 0 <= I42 - 1 /\ 0 <= I38 - 1 /\ 0 <= I52 - 1 /\ 0 <= I47 - 1 /\ 0 <= I51 - 1 /\ 0 <= I50 - 1 /\ 0 <= I48 - 1 /\ 0 <= I49 - 1 /\ -1 <= I56 - 1 /\ -1 <= I55 - 1 /\ 9 <= I34 - 1 /\ 9 <= I57 - 1 /\ I54 + 9 <= I34 /\ I56 + 3 <= I34 /\ I55 + 5 <= I34] 1.58/1.62 f2(I72, I73, I74, I75, I76, I77, I78, I79, I80, I81, I82, I83, I84, I85, I86, I87, I88, I89, I90, I91, I92, I93, I94) -> f6(I95, I72, I84, I82, I78, I83, I77, I96, I74, I85, I76, 0, I75, I79, I80, I81, I86, I87, I88, I90, I97, I91, I92) [I91 + 5 <= I73 /\ I92 + 3 <= I73 /\ 11 <= I95 - 1 /\ 11 <= I73 - 1] 1.58/1.62 f3(I98, I99, I100, I101, I102, I103, I104, I105, I106, I107, I108, I109, I110, I111, I112, I113, I114, I115, I116, I117, I118, I119, I120) -> f1(I121, I122, I123, I124, 1, 0, 0, I125, I126, I127, I128, I129, I130, I131, I132, I133, I134, I135, I136, I137, I138, I139, I140) [7 <= I122 - 1 /\ 0 <= I98 - 1 /\ I122 - 7 <= I98 /\ 0 <= I99 - 1 /\ -1 <= I121 - 1] 1.58/1.62 f5(I141, I142, I143, I144, I145, I146, I147, I148, I149, I150, I151, I152, I153, I154, I155, I156, I157, I158, I159, I160, I161, I162, I163) -> f4(I164, I145, I143, I144, I165, I166, I167, I168, I169, I170, I171, I172, I173, I174, I175, I176, I177, I178, I179, I180, I181, I182, I183) [I148 + 5 <= I142 /\ I149 + 3 <= I142 /\ I147 + 7 <= I142 /\ I146 + 7 <= I142 /\ 5 <= I164 - 1 /\ 5 <= I142 - 1 /\ 0 <= I141 - 1] 1.58/1.62 f3(I184, I185, I186, I187, I188, I189, I190, I191, I192, I193, I194, I195, I196, I197, I198, I199, I200, I201, I202, I203, I204, I205, I206) -> f4(I207, I208, I209, I210, I211, I212, I213, I214, I215, I216, I217, I218, I219, I220, I221, I222, I223, I224, I225, I226, I227, I228, I229) [-1 <= I230 - 1 /\ 0 <= I185 - 1 /\ 0 <= I184 - 1 /\ 5 <= I207 - 1] 1.58/1.62 f1(I231, I232, I233, I234, I235, I236, I237, I238, I239, I240, I241, I242, I243, I244, I245, I246, I247, I248, I249, I250, I251, I252, I253) -> f2(I231, I254, 0, 0, I233, I255, I256, 0, 0, 0, I257, I258, I259, I260, I233, I234, I234, I261, I235, I236, I237, I262, I263) [I255 = I256 /\ I236 + 5 <= I232 /\ I237 + 3 <= I232 /\ 9 <= I254 - 1 /\ 9 <= I232 - 1 /\ I254 <= I232] 1.58/1.62 1.58/1.62 We use the basic value criterion with the projection function NU: 1.58/1.62 NU[f6#(z1,z2,z3,z4,z5,z6,z7,z8,z9,z10,z11,z12,z13,z14,z15,z16,z17,z18,z19,z20,z21,z22,z23)] = z2 1.58/1.62 1.58/1.62 This gives the following inequalities: 1.58/1.62 0 <= I35 - 1 /\ -1 <= I70 - 1 /\ 0 <= I39 - 1 /\ 0 <= I36 - 1 /\ -1 <= I53 - 1 /\ I53 <= I70 - 1 /\ 0 <= I43 - 1 /\ 0 <= I37 - 1 /\ 0 <= I46 - 1 /\ 0 <= I44 - 1 /\ 0 <= I45 - 1 /\ -1 <= I71 - 1 /\ 0 <= I42 - 1 /\ 0 <= I38 - 1 /\ 0 <= I52 - 1 /\ 0 <= I47 - 1 /\ 0 <= I51 - 1 /\ 0 <= I50 - 1 /\ 0 <= I48 - 1 /\ 0 <= I49 - 1 /\ -1 <= I56 - 1 /\ -1 <= I55 - 1 /\ 9 <= I34 - 1 /\ 9 <= I57 - 1 /\ I54 + 9 <= I34 /\ I56 + 3 <= I34 /\ I55 + 5 <= I34 ==> I35 >! I35 - 1 1.58/1.62 1.58/1.62 All dependency pairs are strictly oriented, so the entire dependency pair problem may be removed. 1.58/4.60 EOF