26.63/26.52 YES 26.63/26.52 26.63/26.52 DP problem for innermost termination. 26.63/26.52 P = 26.63/26.52 f9#(x1, x2, x3, x4, x5, x6, x7, x8, x9) -> f8#(x1, x2, x3, x4, x5, x6, x7, x8, x9) 26.63/26.52 f8#(I0, I1, I2, I3, I4, I5, I6, I7, I8) -> f7#(I0, I1, I2, I3, I4, I5, I6, I7, I8) 26.63/26.52 f8#(I9, I10, I11, I12, I13, I14, I15, I16, I17) -> f6#(I9, I10, I11, I12, I13, I14, I15, I16, I17) 26.63/26.52 f8#(I18, I19, I20, I21, I22, I23, I24, I25, I26) -> f5#(I18, I19, I20, I21, I22, I23, I24, I25, I26) 26.63/26.52 f8#(I27, I28, I29, I30, I31, I32, I33, I34, I35) -> f4#(I27, I28, I29, I30, I31, I32, I33, I34, I35) 26.63/26.52 f8#(I36, I37, I38, I39, I40, I41, I42, I43, I44) -> f3#(I36, I37, I38, I39, I40, I41, I42, I43, I44) 26.63/26.52 f8#(I45, I46, I47, I48, I49, I50, I51, I52, I53) -> f1#(I45, I46, I47, I48, I49, I50, I51, I52, I53) 26.63/26.52 f8#(I63, I64, I65, I66, I67, I68, I69, I70, I71) -> f7#(I63, I64, I65, I70, I71, rnd6, rnd7, rnd8, rnd9) [rnd9 = rnd7 /\ rnd8 = rnd6 /\ rnd7 = rnd7 /\ rnd6 = rnd6] 26.63/26.52 f7#(I72, I73, I74, I75, I76, I77, I78, I79, I80) -> f6#(I72, I73, I74, I79, I80, I81, I78, 0, I82) [I82 = I81 /\ I81 = I81] 26.63/26.52 f6#(I83, I84, I85, I86, I87, I88, I89, I90, I91) -> f5#(I83, I84, I85, I90, I91, I92, I89, I90, I93) [I93 = I92 /\ I90 <= I85 /\ I92 = I92] 26.63/26.52 f6#(I94, I95, I96, I97, I98, I99, I100, I101, I102) -> f4#(I94, I95, I96, I101, I102, I99, I100, I101, I95) [1 + I96 <= I101] 26.63/26.52 f5#(I103, I104, I105, I106, I107, I108, I109, I110, I111) -> f6#(I103, I104, I105, I110, I111, I112, I109, 1 + I110, I113) [I113 = I112 /\ I112 = I112] 26.63/26.52 f4#(I114, I115, I116, I117, I118, I119, I120, I121, I122) -> f3#(I114, I115, I116, I121, I122, I119, I120, I121, I122) [I122 <= I114] 26.63/26.52 f4#(I123, I124, I125, I126, I127, I128, I129, I130, I131) -> f1#(I123, I124, I125, I130, I131, I128, I129, I130, I131) [1 + I123 <= I131] 26.63/26.52 f3#(I132, I133, I134, I135, I136, I137, I138, I139, I140) -> f4#(I132, I133, I134, I139, I140, I137, I138, I139, 3 + I140) 26.63/26.52 R = 26.63/26.52 f9(x1, x2, x3, x4, x5, x6, x7, x8, x9) -> f8(x1, x2, x3, x4, x5, x6, x7, x8, x9) 26.63/26.52 f8(I0, I1, I2, I3, I4, I5, I6, I7, I8) -> f7(I0, I1, I2, I3, I4, I5, I6, I7, I8) 26.63/26.52 f8(I9, I10, I11, I12, I13, I14, I15, I16, I17) -> f6(I9, I10, I11, I12, I13, I14, I15, I16, I17) 26.63/26.52 f8(I18, I19, I20, I21, I22, I23, I24, I25, I26) -> f5(I18, I19, I20, I21, I22, I23, I24, I25, I26) 26.63/26.52 f8(I27, I28, I29, I30, I31, I32, I33, I34, I35) -> f4(I27, I28, I29, I30, I31, I32, I33, I34, I35) 26.63/26.52 f8(I36, I37, I38, I39, I40, I41, I42, I43, I44) -> f3(I36, I37, I38, I39, I40, I41, I42, I43, I44) 26.63/26.52 f8(I45, I46, I47, I48, I49, I50, I51, I52, I53) -> f1(I45, I46, I47, I48, I49, I50, I51, I52, I53) 26.63/26.52 f8(I54, I55, I56, I57, I58, I59, I60, I61, I62) -> f2(I54, I55, I56, I57, I58, I59, I60, I61, I62) 26.63/26.52 f8(I63, I64, I65, I66, I67, I68, I69, I70, I71) -> f7(I63, I64, I65, I70, I71, rnd6, rnd7, rnd8, rnd9) [rnd9 = rnd7 /\ rnd8 = rnd6 /\ rnd7 = rnd7 /\ rnd6 = rnd6] 26.63/26.52 f7(I72, I73, I74, I75, I76, I77, I78, I79, I80) -> f6(I72, I73, I74, I79, I80, I81, I78, 0, I82) [I82 = I81 /\ I81 = I81] 26.63/26.52 f6(I83, I84, I85, I86, I87, I88, I89, I90, I91) -> f5(I83, I84, I85, I90, I91, I92, I89, I90, I93) [I93 = I92 /\ I90 <= I85 /\ I92 = I92] 26.63/26.52 f6(I94, I95, I96, I97, I98, I99, I100, I101, I102) -> f4(I94, I95, I96, I101, I102, I99, I100, I101, I95) [1 + I96 <= I101] 26.63/26.52 f5(I103, I104, I105, I106, I107, I108, I109, I110, I111) -> f6(I103, I104, I105, I110, I111, I112, I109, 1 + I110, I113) [I113 = I112 /\ I112 = I112] 26.63/26.52 f4(I114, I115, I116, I117, I118, I119, I120, I121, I122) -> f3(I114, I115, I116, I121, I122, I119, I120, I121, I122) [I122 <= I114] 26.63/26.52 f4(I123, I124, I125, I126, I127, I128, I129, I130, I131) -> f1(I123, I124, I125, I130, I131, I128, I129, I130, I131) [1 + I123 <= I131] 26.63/26.52 f3(I132, I133, I134, I135, I136, I137, I138, I139, I140) -> f4(I132, I133, I134, I139, I140, I137, I138, I139, 3 + I140) 26.63/26.52 f1(I141, I142, I143, I144, I145, I146, I147, I148, I149) -> f2(I141, I142, I143, I148, I149, I150, I151, I152, I153) [I153 = I151 /\ I152 = I150 /\ I151 = I151 /\ I150 = I150] 26.63/26.52 26.63/26.52 The dependency graph for this problem is: 26.63/26.52 0 -> 1, 2, 3, 4, 5, 6, 7 26.63/26.52 1 -> 8 26.63/26.52 2 -> 9, 10 26.63/26.52 3 -> 11 26.63/26.52 4 -> 12, 13 26.63/26.52 5 -> 14 26.63/26.52 6 -> 26.63/26.52 7 -> 8 26.63/26.52 8 -> 9, 10 26.63/26.52 9 -> 11 26.63/26.52 10 -> 12, 13 26.63/26.52 11 -> 9, 10 26.63/26.52 12 -> 14 26.63/26.52 13 -> 26.63/26.52 14 -> 12, 13 26.63/26.52 Where: 26.63/26.52 0) f9#(x1, x2, x3, x4, x5, x6, x7, x8, x9) -> f8#(x1, x2, x3, x4, x5, x6, x7, x8, x9) 26.63/26.52 1) f8#(I0, I1, I2, I3, I4, I5, I6, I7, I8) -> f7#(I0, I1, I2, I3, I4, I5, I6, I7, I8) 26.63/26.52 2) f8#(I9, I10, I11, I12, I13, I14, I15, I16, I17) -> f6#(I9, I10, I11, I12, I13, I14, I15, I16, I17) 26.63/26.52 3) f8#(I18, I19, I20, I21, I22, I23, I24, I25, I26) -> f5#(I18, I19, I20, I21, I22, I23, I24, I25, I26) 26.63/26.52 4) f8#(I27, I28, I29, I30, I31, I32, I33, I34, I35) -> f4#(I27, I28, I29, I30, I31, I32, I33, I34, I35) 26.63/26.52 5) f8#(I36, I37, I38, I39, I40, I41, I42, I43, I44) -> f3#(I36, I37, I38, I39, I40, I41, I42, I43, I44) 26.63/26.52 6) f8#(I45, I46, I47, I48, I49, I50, I51, I52, I53) -> f1#(I45, I46, I47, I48, I49, I50, I51, I52, I53) 26.63/26.52 7) f8#(I63, I64, I65, I66, I67, I68, I69, I70, I71) -> f7#(I63, I64, I65, I70, I71, rnd6, rnd7, rnd8, rnd9) [rnd9 = rnd7 /\ rnd8 = rnd6 /\ rnd7 = rnd7 /\ rnd6 = rnd6] 26.63/26.52 8) f7#(I72, I73, I74, I75, I76, I77, I78, I79, I80) -> f6#(I72, I73, I74, I79, I80, I81, I78, 0, I82) [I82 = I81 /\ I81 = I81] 26.63/26.52 9) f6#(I83, I84, I85, I86, I87, I88, I89, I90, I91) -> f5#(I83, I84, I85, I90, I91, I92, I89, I90, I93) [I93 = I92 /\ I90 <= I85 /\ I92 = I92] 26.63/26.52 10) f6#(I94, I95, I96, I97, I98, I99, I100, I101, I102) -> f4#(I94, I95, I96, I101, I102, I99, I100, I101, I95) [1 + I96 <= I101] 26.63/26.52 11) f5#(I103, I104, I105, I106, I107, I108, I109, I110, I111) -> f6#(I103, I104, I105, I110, I111, I112, I109, 1 + I110, I113) [I113 = I112 /\ I112 = I112] 26.63/26.52 12) f4#(I114, I115, I116, I117, I118, I119, I120, I121, I122) -> f3#(I114, I115, I116, I121, I122, I119, I120, I121, I122) [I122 <= I114] 26.63/26.52 13) f4#(I123, I124, I125, I126, I127, I128, I129, I130, I131) -> f1#(I123, I124, I125, I130, I131, I128, I129, I130, I131) [1 + I123 <= I131] 26.63/26.52 14) f3#(I132, I133, I134, I135, I136, I137, I138, I139, I140) -> f4#(I132, I133, I134, I139, I140, I137, I138, I139, 3 + I140) 26.63/26.52 26.63/26.52 We have the following SCCs. 26.63/26.52 { 9, 11 } 26.63/26.52 { 12, 14 } 26.63/26.52 26.63/26.52 DP problem for innermost termination. 26.63/26.52 P = 26.63/26.52 f4#(I114, I115, I116, I117, I118, I119, I120, I121, I122) -> f3#(I114, I115, I116, I121, I122, I119, I120, I121, I122) [I122 <= I114] 26.63/26.52 f3#(I132, I133, I134, I135, I136, I137, I138, I139, I140) -> f4#(I132, I133, I134, I139, I140, I137, I138, I139, 3 + I140) 26.63/26.52 R = 26.63/26.52 f9(x1, x2, x3, x4, x5, x6, x7, x8, x9) -> f8(x1, x2, x3, x4, x5, x6, x7, x8, x9) 26.63/26.52 f8(I0, I1, I2, I3, I4, I5, I6, I7, I8) -> f7(I0, I1, I2, I3, I4, I5, I6, I7, I8) 26.63/26.52 f8(I9, I10, I11, I12, I13, I14, I15, I16, I17) -> f6(I9, I10, I11, I12, I13, I14, I15, I16, I17) 26.63/26.52 f8(I18, I19, I20, I21, I22, I23, I24, I25, I26) -> f5(I18, I19, I20, I21, I22, I23, I24, I25, I26) 26.63/26.52 f8(I27, I28, I29, I30, I31, I32, I33, I34, I35) -> f4(I27, I28, I29, I30, I31, I32, I33, I34, I35) 26.63/26.52 f8(I36, I37, I38, I39, I40, I41, I42, I43, I44) -> f3(I36, I37, I38, I39, I40, I41, I42, I43, I44) 26.63/26.52 f8(I45, I46, I47, I48, I49, I50, I51, I52, I53) -> f1(I45, I46, I47, I48, I49, I50, I51, I52, I53) 26.63/26.52 f8(I54, I55, I56, I57, I58, I59, I60, I61, I62) -> f2(I54, I55, I56, I57, I58, I59, I60, I61, I62) 26.63/26.52 f8(I63, I64, I65, I66, I67, I68, I69, I70, I71) -> f7(I63, I64, I65, I70, I71, rnd6, rnd7, rnd8, rnd9) [rnd9 = rnd7 /\ rnd8 = rnd6 /\ rnd7 = rnd7 /\ rnd6 = rnd6] 26.63/26.52 f7(I72, I73, I74, I75, I76, I77, I78, I79, I80) -> f6(I72, I73, I74, I79, I80, I81, I78, 0, I82) [I82 = I81 /\ I81 = I81] 26.63/26.52 f6(I83, I84, I85, I86, I87, I88, I89, I90, I91) -> f5(I83, I84, I85, I90, I91, I92, I89, I90, I93) [I93 = I92 /\ I90 <= I85 /\ I92 = I92] 26.63/26.52 f6(I94, I95, I96, I97, I98, I99, I100, I101, I102) -> f4(I94, I95, I96, I101, I102, I99, I100, I101, I95) [1 + I96 <= I101] 26.63/26.52 f5(I103, I104, I105, I106, I107, I108, I109, I110, I111) -> f6(I103, I104, I105, I110, I111, I112, I109, 1 + I110, I113) [I113 = I112 /\ I112 = I112] 26.63/26.52 f4(I114, I115, I116, I117, I118, I119, I120, I121, I122) -> f3(I114, I115, I116, I121, I122, I119, I120, I121, I122) [I122 <= I114] 26.63/26.52 f4(I123, I124, I125, I126, I127, I128, I129, I130, I131) -> f1(I123, I124, I125, I130, I131, I128, I129, I130, I131) [1 + I123 <= I131] 26.63/26.52 f3(I132, I133, I134, I135, I136, I137, I138, I139, I140) -> f4(I132, I133, I134, I139, I140, I137, I138, I139, 3 + I140) 26.63/26.52 f1(I141, I142, I143, I144, I145, I146, I147, I148, I149) -> f2(I141, I142, I143, I148, I149, I150, I151, I152, I153) [I153 = I151 /\ I152 = I150 /\ I151 = I151 /\ I150 = I150] 26.63/26.52 26.63/26.52 We use the reverse value criterion with the projection function NU: 26.63/26.52 NU[f3#(z1,z2,z3,z4,z5,z6,z7,z8,z9)] = z1 + -1 * (3 + z9) 26.63/26.52 NU[f4#(z1,z2,z3,z4,z5,z6,z7,z8,z9)] = z1 + -1 * z9 26.63/26.52 26.63/26.52 This gives the following inequalities: 26.63/26.52 I122 <= I114 ==> I114 + -1 * I122 > I114 + -1 * (3 + I122) with I114 + -1 * I122 >= 0 26.63/26.52 ==> I132 + -1 * (3 + I140) >= I132 + -1 * (3 + I140) 26.63/26.52 26.63/26.52 We remove all the strictly oriented dependency pairs. 26.63/26.52 26.63/26.52 DP problem for innermost termination. 26.63/26.52 P = 26.63/26.52 f3#(I132, I133, I134, I135, I136, I137, I138, I139, I140) -> f4#(I132, I133, I134, I139, I140, I137, I138, I139, 3 + I140) 26.63/26.52 R = 26.63/26.52 f9(x1, x2, x3, x4, x5, x6, x7, x8, x9) -> f8(x1, x2, x3, x4, x5, x6, x7, x8, x9) 26.63/26.52 f8(I0, I1, I2, I3, I4, I5, I6, I7, I8) -> f7(I0, I1, I2, I3, I4, I5, I6, I7, I8) 26.63/26.52 f8(I9, I10, I11, I12, I13, I14, I15, I16, I17) -> f6(I9, I10, I11, I12, I13, I14, I15, I16, I17) 26.63/26.52 f8(I18, I19, I20, I21, I22, I23, I24, I25, I26) -> f5(I18, I19, I20, I21, I22, I23, I24, I25, I26) 26.63/26.52 f8(I27, I28, I29, I30, I31, I32, I33, I34, I35) -> f4(I27, I28, I29, I30, I31, I32, I33, I34, I35) 26.63/26.52 f8(I36, I37, I38, I39, I40, I41, I42, I43, I44) -> f3(I36, I37, I38, I39, I40, I41, I42, I43, I44) 26.63/26.52 f8(I45, I46, I47, I48, I49, I50, I51, I52, I53) -> f1(I45, I46, I47, I48, I49, I50, I51, I52, I53) 26.63/26.52 f8(I54, I55, I56, I57, I58, I59, I60, I61, I62) -> f2(I54, I55, I56, I57, I58, I59, I60, I61, I62) 26.63/26.52 f8(I63, I64, I65, I66, I67, I68, I69, I70, I71) -> f7(I63, I64, I65, I70, I71, rnd6, rnd7, rnd8, rnd9) [rnd9 = rnd7 /\ rnd8 = rnd6 /\ rnd7 = rnd7 /\ rnd6 = rnd6] 26.63/26.52 f7(I72, I73, I74, I75, I76, I77, I78, I79, I80) -> f6(I72, I73, I74, I79, I80, I81, I78, 0, I82) [I82 = I81 /\ I81 = I81] 26.63/26.52 f6(I83, I84, I85, I86, I87, I88, I89, I90, I91) -> f5(I83, I84, I85, I90, I91, I92, I89, I90, I93) [I93 = I92 /\ I90 <= I85 /\ I92 = I92] 26.63/26.52 f6(I94, I95, I96, I97, I98, I99, I100, I101, I102) -> f4(I94, I95, I96, I101, I102, I99, I100, I101, I95) [1 + I96 <= I101] 26.63/26.52 f5(I103, I104, I105, I106, I107, I108, I109, I110, I111) -> f6(I103, I104, I105, I110, I111, I112, I109, 1 + I110, I113) [I113 = I112 /\ I112 = I112] 26.63/26.52 f4(I114, I115, I116, I117, I118, I119, I120, I121, I122) -> f3(I114, I115, I116, I121, I122, I119, I120, I121, I122) [I122 <= I114] 26.63/26.52 f4(I123, I124, I125, I126, I127, I128, I129, I130, I131) -> f1(I123, I124, I125, I130, I131, I128, I129, I130, I131) [1 + I123 <= I131] 26.63/26.52 f3(I132, I133, I134, I135, I136, I137, I138, I139, I140) -> f4(I132, I133, I134, I139, I140, I137, I138, I139, 3 + I140) 26.63/26.52 f1(I141, I142, I143, I144, I145, I146, I147, I148, I149) -> f2(I141, I142, I143, I148, I149, I150, I151, I152, I153) [I153 = I151 /\ I152 = I150 /\ I151 = I151 /\ I150 = I150] 26.63/26.52 26.63/26.52 The dependency graph for this problem is: 26.63/26.52 14 -> 26.63/26.52 Where: 26.63/26.52 14) f3#(I132, I133, I134, I135, I136, I137, I138, I139, I140) -> f4#(I132, I133, I134, I139, I140, I137, I138, I139, 3 + I140) 26.63/26.52 26.63/26.52 We have the following SCCs. 26.63/26.52 26.63/26.52 26.63/26.52 DP problem for innermost termination. 26.63/26.52 P = 26.63/26.52 f6#(I83, I84, I85, I86, I87, I88, I89, I90, I91) -> f5#(I83, I84, I85, I90, I91, I92, I89, I90, I93) [I93 = I92 /\ I90 <= I85 /\ I92 = I92] 26.63/26.52 f5#(I103, I104, I105, I106, I107, I108, I109, I110, I111) -> f6#(I103, I104, I105, I110, I111, I112, I109, 1 + I110, I113) [I113 = I112 /\ I112 = I112] 26.63/26.52 R = 26.63/26.52 f9(x1, x2, x3, x4, x5, x6, x7, x8, x9) -> f8(x1, x2, x3, x4, x5, x6, x7, x8, x9) 26.63/26.52 f8(I0, I1, I2, I3, I4, I5, I6, I7, I8) -> f7(I0, I1, I2, I3, I4, I5, I6, I7, I8) 26.63/26.52 f8(I9, I10, I11, I12, I13, I14, I15, I16, I17) -> f6(I9, I10, I11, I12, I13, I14, I15, I16, I17) 26.63/26.52 f8(I18, I19, I20, I21, I22, I23, I24, I25, I26) -> f5(I18, I19, I20, I21, I22, I23, I24, I25, I26) 26.63/26.52 f8(I27, I28, I29, I30, I31, I32, I33, I34, I35) -> f4(I27, I28, I29, I30, I31, I32, I33, I34, I35) 26.63/26.52 f8(I36, I37, I38, I39, I40, I41, I42, I43, I44) -> f3(I36, I37, I38, I39, I40, I41, I42, I43, I44) 26.63/26.52 f8(I45, I46, I47, I48, I49, I50, I51, I52, I53) -> f1(I45, I46, I47, I48, I49, I50, I51, I52, I53) 26.63/26.52 f8(I54, I55, I56, I57, I58, I59, I60, I61, I62) -> f2(I54, I55, I56, I57, I58, I59, I60, I61, I62) 26.63/26.52 f8(I63, I64, I65, I66, I67, I68, I69, I70, I71) -> f7(I63, I64, I65, I70, I71, rnd6, rnd7, rnd8, rnd9) [rnd9 = rnd7 /\ rnd8 = rnd6 /\ rnd7 = rnd7 /\ rnd6 = rnd6] 26.63/26.52 f7(I72, I73, I74, I75, I76, I77, I78, I79, I80) -> f6(I72, I73, I74, I79, I80, I81, I78, 0, I82) [I82 = I81 /\ I81 = I81] 26.63/26.52 f6(I83, I84, I85, I86, I87, I88, I89, I90, I91) -> f5(I83, I84, I85, I90, I91, I92, I89, I90, I93) [I93 = I92 /\ I90 <= I85 /\ I92 = I92] 26.63/26.52 f6(I94, I95, I96, I97, I98, I99, I100, I101, I102) -> f4(I94, I95, I96, I101, I102, I99, I100, I101, I95) [1 + I96 <= I101] 26.63/26.52 f5(I103, I104, I105, I106, I107, I108, I109, I110, I111) -> f6(I103, I104, I105, I110, I111, I112, I109, 1 + I110, I113) [I113 = I112 /\ I112 = I112] 26.63/26.52 f4(I114, I115, I116, I117, I118, I119, I120, I121, I122) -> f3(I114, I115, I116, I121, I122, I119, I120, I121, I122) [I122 <= I114] 26.63/26.52 f4(I123, I124, I125, I126, I127, I128, I129, I130, I131) -> f1(I123, I124, I125, I130, I131, I128, I129, I130, I131) [1 + I123 <= I131] 26.63/26.52 f3(I132, I133, I134, I135, I136, I137, I138, I139, I140) -> f4(I132, I133, I134, I139, I140, I137, I138, I139, 3 + I140) 26.63/26.52 f1(I141, I142, I143, I144, I145, I146, I147, I148, I149) -> f2(I141, I142, I143, I148, I149, I150, I151, I152, I153) [I153 = I151 /\ I152 = I150 /\ I151 = I151 /\ I150 = I150] 26.63/26.52 26.63/26.52 We use the reverse value criterion with the projection function NU: 26.63/26.52 NU[f5#(z1,z2,z3,z4,z5,z6,z7,z8,z9)] = z3 + -1 * (1 + z8) 26.63/26.52 NU[f6#(z1,z2,z3,z4,z5,z6,z7,z8,z9)] = z3 + -1 * z8 26.63/26.52 26.63/26.52 This gives the following inequalities: 26.63/26.52 I93 = I92 /\ I90 <= I85 /\ I92 = I92 ==> I85 + -1 * I90 > I85 + -1 * (1 + I90) with I85 + -1 * I90 >= 0 26.63/26.52 I113 = I112 /\ I112 = I112 ==> I105 + -1 * (1 + I110) >= I105 + -1 * (1 + I110) 26.63/26.52 26.63/26.52 We remove all the strictly oriented dependency pairs. 26.63/26.52 26.63/26.52 DP problem for innermost termination. 26.63/26.52 P = 26.63/26.52 f5#(I103, I104, I105, I106, I107, I108, I109, I110, I111) -> f6#(I103, I104, I105, I110, I111, I112, I109, 1 + I110, I113) [I113 = I112 /\ I112 = I112] 26.63/26.52 R = 26.63/26.52 f9(x1, x2, x3, x4, x5, x6, x7, x8, x9) -> f8(x1, x2, x3, x4, x5, x6, x7, x8, x9) 26.63/26.52 f8(I0, I1, I2, I3, I4, I5, I6, I7, I8) -> f7(I0, I1, I2, I3, I4, I5, I6, I7, I8) 26.63/26.52 f8(I9, I10, I11, I12, I13, I14, I15, I16, I17) -> f6(I9, I10, I11, I12, I13, I14, I15, I16, I17) 26.63/26.52 f8(I18, I19, I20, I21, I22, I23, I24, I25, I26) -> f5(I18, I19, I20, I21, I22, I23, I24, I25, I26) 26.63/26.52 f8(I27, I28, I29, I30, I31, I32, I33, I34, I35) -> f4(I27, I28, I29, I30, I31, I32, I33, I34, I35) 26.63/26.52 f8(I36, I37, I38, I39, I40, I41, I42, I43, I44) -> f3(I36, I37, I38, I39, I40, I41, I42, I43, I44) 26.63/26.52 f8(I45, I46, I47, I48, I49, I50, I51, I52, I53) -> f1(I45, I46, I47, I48, I49, I50, I51, I52, I53) 26.63/26.52 f8(I54, I55, I56, I57, I58, I59, I60, I61, I62) -> f2(I54, I55, I56, I57, I58, I59, I60, I61, I62) 26.63/26.52 f8(I63, I64, I65, I66, I67, I68, I69, I70, I71) -> f7(I63, I64, I65, I70, I71, rnd6, rnd7, rnd8, rnd9) [rnd9 = rnd7 /\ rnd8 = rnd6 /\ rnd7 = rnd7 /\ rnd6 = rnd6] 26.63/26.52 f7(I72, I73, I74, I75, I76, I77, I78, I79, I80) -> f6(I72, I73, I74, I79, I80, I81, I78, 0, I82) [I82 = I81 /\ I81 = I81] 26.63/26.52 f6(I83, I84, I85, I86, I87, I88, I89, I90, I91) -> f5(I83, I84, I85, I90, I91, I92, I89, I90, I93) [I93 = I92 /\ I90 <= I85 /\ I92 = I92] 26.63/26.52 f6(I94, I95, I96, I97, I98, I99, I100, I101, I102) -> f4(I94, I95, I96, I101, I102, I99, I100, I101, I95) [1 + I96 <= I101] 26.63/26.52 f5(I103, I104, I105, I106, I107, I108, I109, I110, I111) -> f6(I103, I104, I105, I110, I111, I112, I109, 1 + I110, I113) [I113 = I112 /\ I112 = I112] 26.63/26.52 f4(I114, I115, I116, I117, I118, I119, I120, I121, I122) -> f3(I114, I115, I116, I121, I122, I119, I120, I121, I122) [I122 <= I114] 26.63/26.52 f4(I123, I124, I125, I126, I127, I128, I129, I130, I131) -> f1(I123, I124, I125, I130, I131, I128, I129, I130, I131) [1 + I123 <= I131] 26.63/26.52 f3(I132, I133, I134, I135, I136, I137, I138, I139, I140) -> f4(I132, I133, I134, I139, I140, I137, I138, I139, 3 + I140) 26.63/26.52 f1(I141, I142, I143, I144, I145, I146, I147, I148, I149) -> f2(I141, I142, I143, I148, I149, I150, I151, I152, I153) [I153 = I151 /\ I152 = I150 /\ I151 = I151 /\ I150 = I150] 26.63/26.52 26.63/26.52 The dependency graph for this problem is: 26.63/26.52 11 -> 26.63/26.52 Where: 26.63/26.52 11) f5#(I103, I104, I105, I106, I107, I108, I109, I110, I111) -> f6#(I103, I104, I105, I110, I111, I112, I109, 1 + I110, I113) [I113 = I112 /\ I112 = I112] 26.63/26.52 26.63/26.52 We have the following SCCs. 26.63/26.52 26.63/29.49 EOF