36.70/36.49 YES 36.70/36.49 36.70/36.49 DP problem for innermost termination. 36.70/36.49 P = 36.70/36.49 f14#(x1, x2, x3, x4, x5, x6) -> f13#(x1, x2, x3, x4, x5, x6) 36.70/36.49 f13#(I0, I1, I2, I3, I4, I5) -> f8#(I0, I1, I2, I3, I4, I5) 36.70/36.49 f13#(I6, I7, I8, I9, I10, I11) -> f3#(I6, I7, I8, I9, I10, I11) 36.70/36.49 f13#(I12, I13, I14, I15, I16, I17) -> f2#(I12, I13, I14, I15, I16, I17) 36.70/36.49 f13#(I24, I25, I26, I27, I28, I29) -> f11#(I24, I25, I26, I27, I28, I29) 36.70/36.49 f13#(I30, I31, I32, I33, I34, I35) -> f10#(I30, I31, I32, I33, I34, I35) 36.70/36.49 f13#(I36, I37, I38, I39, I40, I41) -> f9#(I36, I37, I38, I39, I40, I41) 36.70/36.49 f13#(I48, I49, I50, I51, I52, I53) -> f7#(I48, I49, I50, I51, I52, I53) 36.70/36.49 f13#(I54, I55, I56, I57, I58, I59) -> f5#(I54, I55, I56, I57, I58, I59) 36.70/36.49 f13#(I60, I61, I62, I63, I64, I65) -> f4#(I60, I61, I62, I63, I64, I65) 36.70/36.49 f13#(I66, I67, I68, I69, I70, I71) -> f1#(I66, I67, I68, I69, I70, I71) 36.70/36.49 f8#(I72, I73, I74, I75, I76, I77) -> f11#(I76, I77, I74, I75, I76, I77) 36.70/36.49 f3#(I78, I79, I80, I81, I82, I83) -> f4#(I82, I83, I80, I81, I82, -1 + I83) 36.70/36.49 f11#(I100, I101, I102, I103, I104, I105) -> f10#(I104, I105, I102, I103, I104, I105) [1 <= I105] 36.70/36.49 f11#(I106, I107, I108, I109, I110, I111) -> f9#(I110, I111, I108, I109, I110, I111) [I111 <= 0] 36.70/36.49 f10#(I112, I113, I114, I115, I116, I117) -> f8#(I116, I117, I114, I115, I116, -1 + I117) 36.70/36.49 f9#(I128, I129, I130, I131, I132, I133) -> f7#(I132, I133, I130, I131, I132, I133) [1 <= I132] 36.70/36.49 f9#(I134, I135, I136, I137, I138, I139) -> f5#(I138, I139, I136, I137, I138, I139) [I138 <= 0] 36.70/36.49 f7#(I140, I141, I142, I143, I144, I145) -> f8#(I144, I145, I142, I143, -1 + I144, I145) 36.70/36.49 f4#(I166, I167, I168, I169, I170, I171) -> f1#(I170, I171, I168, I169, I170, I171) 36.70/36.49 f1#(I172, I173, I174, I175, I176, I177) -> f3#(I176, I177, I174, I175, I176, I177) [1 <= I177 /\ 1 + I177 <= 0] 36.70/36.49 f1#(I178, I179, I180, I181, I182, I183) -> f3#(I182, I183, I180, I181, I182, I183) [1 <= I183 /\ 1 <= I183] 36.70/36.49 f1#(I184, I185, I186, I187, I188, I189) -> f2#(I188, I189, I186, I187, I188, I189) [0 <= I189 /\ I189 <= 0] 36.70/36.49 f1#(I190, I191, I192, I193, I194, I195) -> f2#(I194, I195, I192, I193, I194, I195) [I195 <= 0] 36.70/36.49 R = 36.70/36.49 f14(x1, x2, x3, x4, x5, x6) -> f13(x1, x2, x3, x4, x5, x6) 36.70/36.49 f13(I0, I1, I2, I3, I4, I5) -> f8(I0, I1, I2, I3, I4, I5) 36.70/36.49 f13(I6, I7, I8, I9, I10, I11) -> f3(I6, I7, I8, I9, I10, I11) 36.70/36.49 f13(I12, I13, I14, I15, I16, I17) -> f2(I12, I13, I14, I15, I16, I17) 36.70/36.49 f13(I18, I19, I20, I21, I22, I23) -> f12(I18, I19, I20, I21, I22, I23) 36.70/36.49 f13(I24, I25, I26, I27, I28, I29) -> f11(I24, I25, I26, I27, I28, I29) 36.70/36.49 f13(I30, I31, I32, I33, I34, I35) -> f10(I30, I31, I32, I33, I34, I35) 36.70/36.49 f13(I36, I37, I38, I39, I40, I41) -> f9(I36, I37, I38, I39, I40, I41) 36.70/36.49 f13(I42, I43, I44, I45, I46, I47) -> f6(I42, I43, I44, I45, I46, I47) 36.70/36.49 f13(I48, I49, I50, I51, I52, I53) -> f7(I48, I49, I50, I51, I52, I53) 36.70/36.49 f13(I54, I55, I56, I57, I58, I59) -> f5(I54, I55, I56, I57, I58, I59) 36.70/36.49 f13(I60, I61, I62, I63, I64, I65) -> f4(I60, I61, I62, I63, I64, I65) 36.70/36.49 f13(I66, I67, I68, I69, I70, I71) -> f1(I66, I67, I68, I69, I70, I71) 36.70/36.49 f8(I72, I73, I74, I75, I76, I77) -> f11(I76, I77, I74, I75, I76, I77) 36.70/36.49 f3(I78, I79, I80, I81, I82, I83) -> f4(I82, I83, I80, I81, I82, -1 + I83) 36.70/36.49 f3(I84, I85, I86, I87, I88, I89) -> f12(I88, I89, rnd3, rnd4, rnd5, rnd6) [rnd6 = rnd4 /\ rnd5 = rnd3 /\ rnd4 = rnd4 /\ rnd3 = rnd3] 36.70/36.49 f2(I90, I91, I92, I93, I94, I95) -> f12(I94, I95, I96, I97, I98, I99) [I99 = I97 /\ I98 = I96 /\ I97 = I97 /\ I96 = I96] 36.70/36.49 f11(I100, I101, I102, I103, I104, I105) -> f10(I104, I105, I102, I103, I104, I105) [1 <= I105] 36.70/36.49 f11(I106, I107, I108, I109, I110, I111) -> f9(I110, I111, I108, I109, I110, I111) [I111 <= 0] 36.70/36.49 f10(I112, I113, I114, I115, I116, I117) -> f8(I116, I117, I114, I115, I116, -1 + I117) 36.70/36.49 f10(I118, I119, I120, I121, I122, I123) -> f6(I122, I123, I124, I125, I126, I127) [I127 = I125 /\ I126 = I124 /\ I125 = I125 /\ I124 = I124] 36.70/36.49 f9(I128, I129, I130, I131, I132, I133) -> f7(I132, I133, I130, I131, I132, I133) [1 <= I132] 36.70/36.49 f9(I134, I135, I136, I137, I138, I139) -> f5(I138, I139, I136, I137, I138, I139) [I138 <= 0] 36.70/36.49 f7(I140, I141, I142, I143, I144, I145) -> f8(I144, I145, I142, I143, -1 + I144, I145) 36.70/36.49 f7(I146, I147, I148, I149, I150, I151) -> f6(I150, I151, I152, I153, I154, I155) [I155 = I153 /\ I154 = I152 /\ I153 = I153 /\ I152 = I152] 36.70/36.49 f5(I156, I157, I158, I159, I160, I161) -> f6(I160, I161, I162, I163, I164, I165) [I165 = I163 /\ I164 = I162 /\ I163 = I163 /\ I162 = I162] 36.70/36.49 f4(I166, I167, I168, I169, I170, I171) -> f1(I170, I171, I168, I169, I170, I171) 36.70/36.49 f1(I172, I173, I174, I175, I176, I177) -> f3(I176, I177, I174, I175, I176, I177) [1 <= I177 /\ 1 + I177 <= 0] 36.70/36.49 f1(I178, I179, I180, I181, I182, I183) -> f3(I182, I183, I180, I181, I182, I183) [1 <= I183 /\ 1 <= I183] 36.70/36.49 f1(I184, I185, I186, I187, I188, I189) -> f2(I188, I189, I186, I187, I188, I189) [0 <= I189 /\ I189 <= 0] 36.70/36.49 f1(I190, I191, I192, I193, I194, I195) -> f2(I194, I195, I192, I193, I194, I195) [I195 <= 0] 36.70/36.49 36.70/36.49 The dependency graph for this problem is: 36.70/36.49 0 -> 1, 2, 3, 4, 5, 6, 7, 8, 9, 10 36.70/36.49 1 -> 11 36.70/36.49 2 -> 12 36.70/36.49 3 -> 36.70/36.49 4 -> 13, 14 36.70/36.49 5 -> 15 36.70/36.49 6 -> 16, 17 36.70/36.49 7 -> 18 36.70/36.49 8 -> 36.70/36.49 9 -> 19 36.70/36.49 10 -> 21, 22, 23 36.70/36.49 11 -> 13, 14 36.70/36.49 12 -> 19 36.70/36.49 13 -> 15 36.70/36.49 14 -> 16, 17 36.70/36.49 15 -> 11 36.70/36.49 16 -> 18 36.70/36.49 17 -> 36.70/36.49 18 -> 11 36.70/36.49 19 -> 21, 22, 23 36.70/36.49 20 -> 36.70/36.49 21 -> 12 36.70/36.49 22 -> 36.70/36.49 23 -> 36.70/36.49 Where: 36.70/36.49 0) f14#(x1, x2, x3, x4, x5, x6) -> f13#(x1, x2, x3, x4, x5, x6) 36.70/36.49 1) f13#(I0, I1, I2, I3, I4, I5) -> f8#(I0, I1, I2, I3, I4, I5) 36.70/36.49 2) f13#(I6, I7, I8, I9, I10, I11) -> f3#(I6, I7, I8, I9, I10, I11) 36.70/36.49 3) f13#(I12, I13, I14, I15, I16, I17) -> f2#(I12, I13, I14, I15, I16, I17) 36.70/36.49 4) f13#(I24, I25, I26, I27, I28, I29) -> f11#(I24, I25, I26, I27, I28, I29) 36.70/36.49 5) f13#(I30, I31, I32, I33, I34, I35) -> f10#(I30, I31, I32, I33, I34, I35) 36.70/36.49 6) f13#(I36, I37, I38, I39, I40, I41) -> f9#(I36, I37, I38, I39, I40, I41) 36.70/36.49 7) f13#(I48, I49, I50, I51, I52, I53) -> f7#(I48, I49, I50, I51, I52, I53) 36.70/36.49 8) f13#(I54, I55, I56, I57, I58, I59) -> f5#(I54, I55, I56, I57, I58, I59) 36.70/36.49 9) f13#(I60, I61, I62, I63, I64, I65) -> f4#(I60, I61, I62, I63, I64, I65) 36.70/36.49 10) f13#(I66, I67, I68, I69, I70, I71) -> f1#(I66, I67, I68, I69, I70, I71) 36.70/36.49 11) f8#(I72, I73, I74, I75, I76, I77) -> f11#(I76, I77, I74, I75, I76, I77) 36.70/36.49 12) f3#(I78, I79, I80, I81, I82, I83) -> f4#(I82, I83, I80, I81, I82, -1 + I83) 36.70/36.49 13) f11#(I100, I101, I102, I103, I104, I105) -> f10#(I104, I105, I102, I103, I104, I105) [1 <= I105] 36.70/36.49 14) f11#(I106, I107, I108, I109, I110, I111) -> f9#(I110, I111, I108, I109, I110, I111) [I111 <= 0] 36.70/36.49 15) f10#(I112, I113, I114, I115, I116, I117) -> f8#(I116, I117, I114, I115, I116, -1 + I117) 36.70/36.49 16) f9#(I128, I129, I130, I131, I132, I133) -> f7#(I132, I133, I130, I131, I132, I133) [1 <= I132] 36.70/36.49 17) f9#(I134, I135, I136, I137, I138, I139) -> f5#(I138, I139, I136, I137, I138, I139) [I138 <= 0] 36.70/36.49 18) f7#(I140, I141, I142, I143, I144, I145) -> f8#(I144, I145, I142, I143, -1 + I144, I145) 36.70/36.49 19) f4#(I166, I167, I168, I169, I170, I171) -> f1#(I170, I171, I168, I169, I170, I171) 36.70/36.49 20) f1#(I172, I173, I174, I175, I176, I177) -> f3#(I176, I177, I174, I175, I176, I177) [1 <= I177 /\ 1 + I177 <= 0] 36.70/36.49 21) f1#(I178, I179, I180, I181, I182, I183) -> f3#(I182, I183, I180, I181, I182, I183) [1 <= I183 /\ 1 <= I183] 36.70/36.49 22) f1#(I184, I185, I186, I187, I188, I189) -> f2#(I188, I189, I186, I187, I188, I189) [0 <= I189 /\ I189 <= 0] 36.70/36.49 23) f1#(I190, I191, I192, I193, I194, I195) -> f2#(I194, I195, I192, I193, I194, I195) [I195 <= 0] 36.70/36.49 36.70/36.49 We have the following SCCs. 36.70/36.49 { 11, 13, 14, 15, 16, 18 } 36.70/36.49 { 12, 19, 21 } 36.70/36.49 36.70/36.49 DP problem for innermost termination. 36.70/36.49 P = 36.70/36.49 f3#(I78, I79, I80, I81, I82, I83) -> f4#(I82, I83, I80, I81, I82, -1 + I83) 36.70/36.49 f4#(I166, I167, I168, I169, I170, I171) -> f1#(I170, I171, I168, I169, I170, I171) 36.70/36.49 f1#(I178, I179, I180, I181, I182, I183) -> f3#(I182, I183, I180, I181, I182, I183) [1 <= I183 /\ 1 <= I183] 36.70/36.49 R = 36.70/36.49 f14(x1, x2, x3, x4, x5, x6) -> f13(x1, x2, x3, x4, x5, x6) 36.70/36.49 f13(I0, I1, I2, I3, I4, I5) -> f8(I0, I1, I2, I3, I4, I5) 36.70/36.49 f13(I6, I7, I8, I9, I10, I11) -> f3(I6, I7, I8, I9, I10, I11) 36.70/36.49 f13(I12, I13, I14, I15, I16, I17) -> f2(I12, I13, I14, I15, I16, I17) 36.70/36.49 f13(I18, I19, I20, I21, I22, I23) -> f12(I18, I19, I20, I21, I22, I23) 36.70/36.49 f13(I24, I25, I26, I27, I28, I29) -> f11(I24, I25, I26, I27, I28, I29) 36.70/36.49 f13(I30, I31, I32, I33, I34, I35) -> f10(I30, I31, I32, I33, I34, I35) 36.70/36.49 f13(I36, I37, I38, I39, I40, I41) -> f9(I36, I37, I38, I39, I40, I41) 36.70/36.49 f13(I42, I43, I44, I45, I46, I47) -> f6(I42, I43, I44, I45, I46, I47) 36.70/36.49 f13(I48, I49, I50, I51, I52, I53) -> f7(I48, I49, I50, I51, I52, I53) 36.70/36.49 f13(I54, I55, I56, I57, I58, I59) -> f5(I54, I55, I56, I57, I58, I59) 36.70/36.49 f13(I60, I61, I62, I63, I64, I65) -> f4(I60, I61, I62, I63, I64, I65) 36.70/36.49 f13(I66, I67, I68, I69, I70, I71) -> f1(I66, I67, I68, I69, I70, I71) 36.70/36.49 f8(I72, I73, I74, I75, I76, I77) -> f11(I76, I77, I74, I75, I76, I77) 36.70/36.49 f3(I78, I79, I80, I81, I82, I83) -> f4(I82, I83, I80, I81, I82, -1 + I83) 36.70/36.49 f3(I84, I85, I86, I87, I88, I89) -> f12(I88, I89, rnd3, rnd4, rnd5, rnd6) [rnd6 = rnd4 /\ rnd5 = rnd3 /\ rnd4 = rnd4 /\ rnd3 = rnd3] 36.70/36.49 f2(I90, I91, I92, I93, I94, I95) -> f12(I94, I95, I96, I97, I98, I99) [I99 = I97 /\ I98 = I96 /\ I97 = I97 /\ I96 = I96] 36.70/36.49 f11(I100, I101, I102, I103, I104, I105) -> f10(I104, I105, I102, I103, I104, I105) [1 <= I105] 36.70/36.49 f11(I106, I107, I108, I109, I110, I111) -> f9(I110, I111, I108, I109, I110, I111) [I111 <= 0] 36.70/36.49 f10(I112, I113, I114, I115, I116, I117) -> f8(I116, I117, I114, I115, I116, -1 + I117) 36.70/36.49 f10(I118, I119, I120, I121, I122, I123) -> f6(I122, I123, I124, I125, I126, I127) [I127 = I125 /\ I126 = I124 /\ I125 = I125 /\ I124 = I124] 36.70/36.49 f9(I128, I129, I130, I131, I132, I133) -> f7(I132, I133, I130, I131, I132, I133) [1 <= I132] 36.70/36.49 f9(I134, I135, I136, I137, I138, I139) -> f5(I138, I139, I136, I137, I138, I139) [I138 <= 0] 36.70/36.49 f7(I140, I141, I142, I143, I144, I145) -> f8(I144, I145, I142, I143, -1 + I144, I145) 36.70/36.49 f7(I146, I147, I148, I149, I150, I151) -> f6(I150, I151, I152, I153, I154, I155) [I155 = I153 /\ I154 = I152 /\ I153 = I153 /\ I152 = I152] 36.70/36.49 f5(I156, I157, I158, I159, I160, I161) -> f6(I160, I161, I162, I163, I164, I165) [I165 = I163 /\ I164 = I162 /\ I163 = I163 /\ I162 = I162] 36.70/36.49 f4(I166, I167, I168, I169, I170, I171) -> f1(I170, I171, I168, I169, I170, I171) 36.70/36.49 f1(I172, I173, I174, I175, I176, I177) -> f3(I176, I177, I174, I175, I176, I177) [1 <= I177 /\ 1 + I177 <= 0] 36.70/36.49 f1(I178, I179, I180, I181, I182, I183) -> f3(I182, I183, I180, I181, I182, I183) [1 <= I183 /\ 1 <= I183] 36.70/36.49 f1(I184, I185, I186, I187, I188, I189) -> f2(I188, I189, I186, I187, I188, I189) [0 <= I189 /\ I189 <= 0] 36.70/36.49 f1(I190, I191, I192, I193, I194, I195) -> f2(I194, I195, I192, I193, I194, I195) [I195 <= 0] 36.70/36.49 36.70/36.49 We use the extended value criterion with the projection function NU: 36.70/36.49 NU[f1#(x0,x1,x2,x3,x4,x5)] = x5 - 1 36.70/36.49 NU[f4#(x0,x1,x2,x3,x4,x5)] = x5 - 1 36.70/36.49 NU[f3#(x0,x1,x2,x3,x4,x5)] = x5 - 2 36.70/36.49 36.70/36.49 This gives the following inequalities: 36.70/36.49 ==> I83 - 2 >= (-1 + I83) - 1 36.70/36.49 ==> I171 - 1 >= I171 - 1 36.70/36.49 1 <= I183 /\ 1 <= I183 ==> I183 - 1 > I183 - 2 with I183 - 1 >= 0 36.70/36.49 36.70/36.49 We remove all the strictly oriented dependency pairs. 36.70/36.49 36.70/36.49 DP problem for innermost termination. 36.70/36.49 P = 36.70/36.49 f3#(I78, I79, I80, I81, I82, I83) -> f4#(I82, I83, I80, I81, I82, -1 + I83) 36.70/36.49 f4#(I166, I167, I168, I169, I170, I171) -> f1#(I170, I171, I168, I169, I170, I171) 36.70/36.49 R = 36.70/36.49 f14(x1, x2, x3, x4, x5, x6) -> f13(x1, x2, x3, x4, x5, x6) 36.70/36.49 f13(I0, I1, I2, I3, I4, I5) -> f8(I0, I1, I2, I3, I4, I5) 36.70/36.49 f13(I6, I7, I8, I9, I10, I11) -> f3(I6, I7, I8, I9, I10, I11) 36.70/36.49 f13(I12, I13, I14, I15, I16, I17) -> f2(I12, I13, I14, I15, I16, I17) 36.70/36.49 f13(I18, I19, I20, I21, I22, I23) -> f12(I18, I19, I20, I21, I22, I23) 36.70/36.49 f13(I24, I25, I26, I27, I28, I29) -> f11(I24, I25, I26, I27, I28, I29) 36.70/36.49 f13(I30, I31, I32, I33, I34, I35) -> f10(I30, I31, I32, I33, I34, I35) 36.70/36.49 f13(I36, I37, I38, I39, I40, I41) -> f9(I36, I37, I38, I39, I40, I41) 36.70/36.49 f13(I42, I43, I44, I45, I46, I47) -> f6(I42, I43, I44, I45, I46, I47) 36.70/36.49 f13(I48, I49, I50, I51, I52, I53) -> f7(I48, I49, I50, I51, I52, I53) 36.70/36.49 f13(I54, I55, I56, I57, I58, I59) -> f5(I54, I55, I56, I57, I58, I59) 36.70/36.49 f13(I60, I61, I62, I63, I64, I65) -> f4(I60, I61, I62, I63, I64, I65) 36.70/36.49 f13(I66, I67, I68, I69, I70, I71) -> f1(I66, I67, I68, I69, I70, I71) 36.70/36.49 f8(I72, I73, I74, I75, I76, I77) -> f11(I76, I77, I74, I75, I76, I77) 36.70/36.49 f3(I78, I79, I80, I81, I82, I83) -> f4(I82, I83, I80, I81, I82, -1 + I83) 36.70/36.49 f3(I84, I85, I86, I87, I88, I89) -> f12(I88, I89, rnd3, rnd4, rnd5, rnd6) [rnd6 = rnd4 /\ rnd5 = rnd3 /\ rnd4 = rnd4 /\ rnd3 = rnd3] 36.70/36.49 f2(I90, I91, I92, I93, I94, I95) -> f12(I94, I95, I96, I97, I98, I99) [I99 = I97 /\ I98 = I96 /\ I97 = I97 /\ I96 = I96] 36.70/36.49 f11(I100, I101, I102, I103, I104, I105) -> f10(I104, I105, I102, I103, I104, I105) [1 <= I105] 36.70/36.49 f11(I106, I107, I108, I109, I110, I111) -> f9(I110, I111, I108, I109, I110, I111) [I111 <= 0] 36.70/36.49 f10(I112, I113, I114, I115, I116, I117) -> f8(I116, I117, I114, I115, I116, -1 + I117) 36.70/36.49 f10(I118, I119, I120, I121, I122, I123) -> f6(I122, I123, I124, I125, I126, I127) [I127 = I125 /\ I126 = I124 /\ I125 = I125 /\ I124 = I124] 36.70/36.49 f9(I128, I129, I130, I131, I132, I133) -> f7(I132, I133, I130, I131, I132, I133) [1 <= I132] 36.70/36.49 f9(I134, I135, I136, I137, I138, I139) -> f5(I138, I139, I136, I137, I138, I139) [I138 <= 0] 36.70/36.49 f7(I140, I141, I142, I143, I144, I145) -> f8(I144, I145, I142, I143, -1 + I144, I145) 36.70/36.49 f7(I146, I147, I148, I149, I150, I151) -> f6(I150, I151, I152, I153, I154, I155) [I155 = I153 /\ I154 = I152 /\ I153 = I153 /\ I152 = I152] 36.70/36.49 f5(I156, I157, I158, I159, I160, I161) -> f6(I160, I161, I162, I163, I164, I165) [I165 = I163 /\ I164 = I162 /\ I163 = I163 /\ I162 = I162] 36.70/36.49 f4(I166, I167, I168, I169, I170, I171) -> f1(I170, I171, I168, I169, I170, I171) 36.70/36.49 f1(I172, I173, I174, I175, I176, I177) -> f3(I176, I177, I174, I175, I176, I177) [1 <= I177 /\ 1 + I177 <= 0] 36.70/36.49 f1(I178, I179, I180, I181, I182, I183) -> f3(I182, I183, I180, I181, I182, I183) [1 <= I183 /\ 1 <= I183] 36.70/36.49 f1(I184, I185, I186, I187, I188, I189) -> f2(I188, I189, I186, I187, I188, I189) [0 <= I189 /\ I189 <= 0] 36.70/36.49 f1(I190, I191, I192, I193, I194, I195) -> f2(I194, I195, I192, I193, I194, I195) [I195 <= 0] 36.70/36.49 36.70/36.49 The dependency graph for this problem is: 36.70/36.49 12 -> 19 36.70/36.49 19 -> 36.70/36.49 Where: 36.70/36.49 12) f3#(I78, I79, I80, I81, I82, I83) -> f4#(I82, I83, I80, I81, I82, -1 + I83) 36.70/36.49 19) f4#(I166, I167, I168, I169, I170, I171) -> f1#(I170, I171, I168, I169, I170, I171) 36.70/36.49 36.70/36.49 We have the following SCCs. 36.70/36.49 36.70/36.49 36.70/36.49 DP problem for innermost termination. 36.70/36.49 P = 36.70/36.49 f8#(I72, I73, I74, I75, I76, I77) -> f11#(I76, I77, I74, I75, I76, I77) 36.70/36.49 f11#(I100, I101, I102, I103, I104, I105) -> f10#(I104, I105, I102, I103, I104, I105) [1 <= I105] 36.70/36.49 f11#(I106, I107, I108, I109, I110, I111) -> f9#(I110, I111, I108, I109, I110, I111) [I111 <= 0] 36.70/36.49 f10#(I112, I113, I114, I115, I116, I117) -> f8#(I116, I117, I114, I115, I116, -1 + I117) 36.70/36.49 f9#(I128, I129, I130, I131, I132, I133) -> f7#(I132, I133, I130, I131, I132, I133) [1 <= I132] 36.70/36.49 f7#(I140, I141, I142, I143, I144, I145) -> f8#(I144, I145, I142, I143, -1 + I144, I145) 36.70/36.49 R = 36.70/36.49 f14(x1, x2, x3, x4, x5, x6) -> f13(x1, x2, x3, x4, x5, x6) 36.70/36.49 f13(I0, I1, I2, I3, I4, I5) -> f8(I0, I1, I2, I3, I4, I5) 36.70/36.49 f13(I6, I7, I8, I9, I10, I11) -> f3(I6, I7, I8, I9, I10, I11) 36.70/36.49 f13(I12, I13, I14, I15, I16, I17) -> f2(I12, I13, I14, I15, I16, I17) 36.70/36.49 f13(I18, I19, I20, I21, I22, I23) -> f12(I18, I19, I20, I21, I22, I23) 36.70/36.49 f13(I24, I25, I26, I27, I28, I29) -> f11(I24, I25, I26, I27, I28, I29) 36.70/36.49 f13(I30, I31, I32, I33, I34, I35) -> f10(I30, I31, I32, I33, I34, I35) 36.70/36.49 f13(I36, I37, I38, I39, I40, I41) -> f9(I36, I37, I38, I39, I40, I41) 36.70/36.49 f13(I42, I43, I44, I45, I46, I47) -> f6(I42, I43, I44, I45, I46, I47) 36.70/36.49 f13(I48, I49, I50, I51, I52, I53) -> f7(I48, I49, I50, I51, I52, I53) 36.70/36.49 f13(I54, I55, I56, I57, I58, I59) -> f5(I54, I55, I56, I57, I58, I59) 36.70/36.49 f13(I60, I61, I62, I63, I64, I65) -> f4(I60, I61, I62, I63, I64, I65) 36.70/36.49 f13(I66, I67, I68, I69, I70, I71) -> f1(I66, I67, I68, I69, I70, I71) 36.70/36.49 f8(I72, I73, I74, I75, I76, I77) -> f11(I76, I77, I74, I75, I76, I77) 36.70/36.49 f3(I78, I79, I80, I81, I82, I83) -> f4(I82, I83, I80, I81, I82, -1 + I83) 36.70/36.49 f3(I84, I85, I86, I87, I88, I89) -> f12(I88, I89, rnd3, rnd4, rnd5, rnd6) [rnd6 = rnd4 /\ rnd5 = rnd3 /\ rnd4 = rnd4 /\ rnd3 = rnd3] 36.70/36.49 f2(I90, I91, I92, I93, I94, I95) -> f12(I94, I95, I96, I97, I98, I99) [I99 = I97 /\ I98 = I96 /\ I97 = I97 /\ I96 = I96] 36.70/36.49 f11(I100, I101, I102, I103, I104, I105) -> f10(I104, I105, I102, I103, I104, I105) [1 <= I105] 36.70/36.49 f11(I106, I107, I108, I109, I110, I111) -> f9(I110, I111, I108, I109, I110, I111) [I111 <= 0] 36.70/36.49 f10(I112, I113, I114, I115, I116, I117) -> f8(I116, I117, I114, I115, I116, -1 + I117) 36.70/36.49 f10(I118, I119, I120, I121, I122, I123) -> f6(I122, I123, I124, I125, I126, I127) [I127 = I125 /\ I126 = I124 /\ I125 = I125 /\ I124 = I124] 36.70/36.49 f9(I128, I129, I130, I131, I132, I133) -> f7(I132, I133, I130, I131, I132, I133) [1 <= I132] 36.70/36.49 f9(I134, I135, I136, I137, I138, I139) -> f5(I138, I139, I136, I137, I138, I139) [I138 <= 0] 36.70/36.49 f7(I140, I141, I142, I143, I144, I145) -> f8(I144, I145, I142, I143, -1 + I144, I145) 36.70/36.49 f7(I146, I147, I148, I149, I150, I151) -> f6(I150, I151, I152, I153, I154, I155) [I155 = I153 /\ I154 = I152 /\ I153 = I153 /\ I152 = I152] 36.70/36.49 f5(I156, I157, I158, I159, I160, I161) -> f6(I160, I161, I162, I163, I164, I165) [I165 = I163 /\ I164 = I162 /\ I163 = I163 /\ I162 = I162] 36.70/36.49 f4(I166, I167, I168, I169, I170, I171) -> f1(I170, I171, I168, I169, I170, I171) 36.70/36.49 f1(I172, I173, I174, I175, I176, I177) -> f3(I176, I177, I174, I175, I176, I177) [1 <= I177 /\ 1 + I177 <= 0] 36.70/36.49 f1(I178, I179, I180, I181, I182, I183) -> f3(I182, I183, I180, I181, I182, I183) [1 <= I183 /\ 1 <= I183] 36.70/36.49 f1(I184, I185, I186, I187, I188, I189) -> f2(I188, I189, I186, I187, I188, I189) [0 <= I189 /\ I189 <= 0] 36.70/36.49 f1(I190, I191, I192, I193, I194, I195) -> f2(I194, I195, I192, I193, I194, I195) [I195 <= 0] 36.70/36.49 36.70/36.49 We use the extended value criterion with the projection function NU: 36.70/36.49 NU[f7#(x0,x1,x2,x3,x4,x5)] = x4 - 2 36.70/36.49 NU[f9#(x0,x1,x2,x3,x4,x5)] = x4 - 1 36.70/36.49 NU[f10#(x0,x1,x2,x3,x4,x5)] = x4 - 1 36.70/36.49 NU[f11#(x0,x1,x2,x3,x4,x5)] = x4 - 1 36.70/36.49 NU[f8#(x0,x1,x2,x3,x4,x5)] = x4 - 1 36.70/36.49 36.70/36.49 This gives the following inequalities: 36.70/36.49 ==> I76 - 1 >= I76 - 1 36.70/36.49 1 <= I105 ==> I104 - 1 >= I104 - 1 36.70/36.49 I111 <= 0 ==> I110 - 1 >= I110 - 1 36.70/36.49 ==> I116 - 1 >= I116 - 1 36.70/36.49 1 <= I132 ==> I132 - 1 > I132 - 2 with I132 - 1 >= 0 36.70/36.49 ==> I144 - 2 >= (-1 + I144) - 1 36.70/36.49 36.70/36.49 We remove all the strictly oriented dependency pairs. 36.70/36.49 36.70/36.49 DP problem for innermost termination. 36.70/36.49 P = 36.70/36.49 f8#(I72, I73, I74, I75, I76, I77) -> f11#(I76, I77, I74, I75, I76, I77) 36.70/36.49 f11#(I100, I101, I102, I103, I104, I105) -> f10#(I104, I105, I102, I103, I104, I105) [1 <= I105] 36.70/36.49 f11#(I106, I107, I108, I109, I110, I111) -> f9#(I110, I111, I108, I109, I110, I111) [I111 <= 0] 36.70/36.49 f10#(I112, I113, I114, I115, I116, I117) -> f8#(I116, I117, I114, I115, I116, -1 + I117) 36.70/36.49 f7#(I140, I141, I142, I143, I144, I145) -> f8#(I144, I145, I142, I143, -1 + I144, I145) 36.70/36.49 R = 36.70/36.49 f14(x1, x2, x3, x4, x5, x6) -> f13(x1, x2, x3, x4, x5, x6) 36.70/36.49 f13(I0, I1, I2, I3, I4, I5) -> f8(I0, I1, I2, I3, I4, I5) 36.70/36.49 f13(I6, I7, I8, I9, I10, I11) -> f3(I6, I7, I8, I9, I10, I11) 36.70/36.49 f13(I12, I13, I14, I15, I16, I17) -> f2(I12, I13, I14, I15, I16, I17) 36.70/36.49 f13(I18, I19, I20, I21, I22, I23) -> f12(I18, I19, I20, I21, I22, I23) 36.70/36.49 f13(I24, I25, I26, I27, I28, I29) -> f11(I24, I25, I26, I27, I28, I29) 36.70/36.49 f13(I30, I31, I32, I33, I34, I35) -> f10(I30, I31, I32, I33, I34, I35) 36.70/36.49 f13(I36, I37, I38, I39, I40, I41) -> f9(I36, I37, I38, I39, I40, I41) 36.70/36.49 f13(I42, I43, I44, I45, I46, I47) -> f6(I42, I43, I44, I45, I46, I47) 36.70/36.49 f13(I48, I49, I50, I51, I52, I53) -> f7(I48, I49, I50, I51, I52, I53) 36.70/36.49 f13(I54, I55, I56, I57, I58, I59) -> f5(I54, I55, I56, I57, I58, I59) 36.70/36.49 f13(I60, I61, I62, I63, I64, I65) -> f4(I60, I61, I62, I63, I64, I65) 36.70/36.49 f13(I66, I67, I68, I69, I70, I71) -> f1(I66, I67, I68, I69, I70, I71) 36.70/36.49 f8(I72, I73, I74, I75, I76, I77) -> f11(I76, I77, I74, I75, I76, I77) 36.70/36.49 f3(I78, I79, I80, I81, I82, I83) -> f4(I82, I83, I80, I81, I82, -1 + I83) 36.70/36.49 f3(I84, I85, I86, I87, I88, I89) -> f12(I88, I89, rnd3, rnd4, rnd5, rnd6) [rnd6 = rnd4 /\ rnd5 = rnd3 /\ rnd4 = rnd4 /\ rnd3 = rnd3] 36.70/36.49 f2(I90, I91, I92, I93, I94, I95) -> f12(I94, I95, I96, I97, I98, I99) [I99 = I97 /\ I98 = I96 /\ I97 = I97 /\ I96 = I96] 36.70/36.49 f11(I100, I101, I102, I103, I104, I105) -> f10(I104, I105, I102, I103, I104, I105) [1 <= I105] 36.70/36.49 f11(I106, I107, I108, I109, I110, I111) -> f9(I110, I111, I108, I109, I110, I111) [I111 <= 0] 36.70/36.49 f10(I112, I113, I114, I115, I116, I117) -> f8(I116, I117, I114, I115, I116, -1 + I117) 36.70/36.49 f10(I118, I119, I120, I121, I122, I123) -> f6(I122, I123, I124, I125, I126, I127) [I127 = I125 /\ I126 = I124 /\ I125 = I125 /\ I124 = I124] 36.70/36.49 f9(I128, I129, I130, I131, I132, I133) -> f7(I132, I133, I130, I131, I132, I133) [1 <= I132] 36.70/36.49 f9(I134, I135, I136, I137, I138, I139) -> f5(I138, I139, I136, I137, I138, I139) [I138 <= 0] 36.70/36.49 f7(I140, I141, I142, I143, I144, I145) -> f8(I144, I145, I142, I143, -1 + I144, I145) 36.70/36.49 f7(I146, I147, I148, I149, I150, I151) -> f6(I150, I151, I152, I153, I154, I155) [I155 = I153 /\ I154 = I152 /\ I153 = I153 /\ I152 = I152] 36.70/36.49 f5(I156, I157, I158, I159, I160, I161) -> f6(I160, I161, I162, I163, I164, I165) [I165 = I163 /\ I164 = I162 /\ I163 = I163 /\ I162 = I162] 36.70/36.49 f4(I166, I167, I168, I169, I170, I171) -> f1(I170, I171, I168, I169, I170, I171) 36.70/36.49 f1(I172, I173, I174, I175, I176, I177) -> f3(I176, I177, I174, I175, I176, I177) [1 <= I177 /\ 1 + I177 <= 0] 36.70/36.49 f1(I178, I179, I180, I181, I182, I183) -> f3(I182, I183, I180, I181, I182, I183) [1 <= I183 /\ 1 <= I183] 36.70/36.49 f1(I184, I185, I186, I187, I188, I189) -> f2(I188, I189, I186, I187, I188, I189) [0 <= I189 /\ I189 <= 0] 36.70/36.49 f1(I190, I191, I192, I193, I194, I195) -> f2(I194, I195, I192, I193, I194, I195) [I195 <= 0] 36.70/36.49 36.70/36.49 The dependency graph for this problem is: 36.70/36.49 11 -> 13, 14 36.70/36.49 13 -> 15 36.70/36.49 14 -> 36.70/36.49 15 -> 11 36.70/36.49 18 -> 11 36.70/36.49 Where: 36.70/36.49 11) f8#(I72, I73, I74, I75, I76, I77) -> f11#(I76, I77, I74, I75, I76, I77) 36.70/36.49 13) f11#(I100, I101, I102, I103, I104, I105) -> f10#(I104, I105, I102, I103, I104, I105) [1 <= I105] 36.70/36.49 14) f11#(I106, I107, I108, I109, I110, I111) -> f9#(I110, I111, I108, I109, I110, I111) [I111 <= 0] 36.70/36.49 15) f10#(I112, I113, I114, I115, I116, I117) -> f8#(I116, I117, I114, I115, I116, -1 + I117) 36.70/36.49 18) f7#(I140, I141, I142, I143, I144, I145) -> f8#(I144, I145, I142, I143, -1 + I144, I145) 36.70/36.49 36.70/36.49 We have the following SCCs. 36.70/36.49 { 11, 13, 15 } 36.70/36.49 36.70/36.49 DP problem for innermost termination. 36.70/36.49 P = 36.70/36.49 f8#(I72, I73, I74, I75, I76, I77) -> f11#(I76, I77, I74, I75, I76, I77) 36.70/36.49 f11#(I100, I101, I102, I103, I104, I105) -> f10#(I104, I105, I102, I103, I104, I105) [1 <= I105] 36.70/36.49 f10#(I112, I113, I114, I115, I116, I117) -> f8#(I116, I117, I114, I115, I116, -1 + I117) 36.70/36.49 R = 36.70/36.49 f14(x1, x2, x3, x4, x5, x6) -> f13(x1, x2, x3, x4, x5, x6) 36.70/36.49 f13(I0, I1, I2, I3, I4, I5) -> f8(I0, I1, I2, I3, I4, I5) 36.70/36.49 f13(I6, I7, I8, I9, I10, I11) -> f3(I6, I7, I8, I9, I10, I11) 36.70/36.49 f13(I12, I13, I14, I15, I16, I17) -> f2(I12, I13, I14, I15, I16, I17) 36.70/36.49 f13(I18, I19, I20, I21, I22, I23) -> f12(I18, I19, I20, I21, I22, I23) 36.70/36.49 f13(I24, I25, I26, I27, I28, I29) -> f11(I24, I25, I26, I27, I28, I29) 36.70/36.49 f13(I30, I31, I32, I33, I34, I35) -> f10(I30, I31, I32, I33, I34, I35) 36.70/36.49 f13(I36, I37, I38, I39, I40, I41) -> f9(I36, I37, I38, I39, I40, I41) 36.70/36.49 f13(I42, I43, I44, I45, I46, I47) -> f6(I42, I43, I44, I45, I46, I47) 36.70/36.49 f13(I48, I49, I50, I51, I52, I53) -> f7(I48, I49, I50, I51, I52, I53) 36.70/36.49 f13(I54, I55, I56, I57, I58, I59) -> f5(I54, I55, I56, I57, I58, I59) 36.70/36.49 f13(I60, I61, I62, I63, I64, I65) -> f4(I60, I61, I62, I63, I64, I65) 36.70/36.49 f13(I66, I67, I68, I69, I70, I71) -> f1(I66, I67, I68, I69, I70, I71) 36.70/36.49 f8(I72, I73, I74, I75, I76, I77) -> f11(I76, I77, I74, I75, I76, I77) 36.70/36.49 f3(I78, I79, I80, I81, I82, I83) -> f4(I82, I83, I80, I81, I82, -1 + I83) 36.70/36.49 f3(I84, I85, I86, I87, I88, I89) -> f12(I88, I89, rnd3, rnd4, rnd5, rnd6) [rnd6 = rnd4 /\ rnd5 = rnd3 /\ rnd4 = rnd4 /\ rnd3 = rnd3] 36.70/36.49 f2(I90, I91, I92, I93, I94, I95) -> f12(I94, I95, I96, I97, I98, I99) [I99 = I97 /\ I98 = I96 /\ I97 = I97 /\ I96 = I96] 36.70/36.49 f11(I100, I101, I102, I103, I104, I105) -> f10(I104, I105, I102, I103, I104, I105) [1 <= I105] 36.70/36.49 f11(I106, I107, I108, I109, I110, I111) -> f9(I110, I111, I108, I109, I110, I111) [I111 <= 0] 36.70/36.49 f10(I112, I113, I114, I115, I116, I117) -> f8(I116, I117, I114, I115, I116, -1 + I117) 36.70/36.49 f10(I118, I119, I120, I121, I122, I123) -> f6(I122, I123, I124, I125, I126, I127) [I127 = I125 /\ I126 = I124 /\ I125 = I125 /\ I124 = I124] 36.70/36.49 f9(I128, I129, I130, I131, I132, I133) -> f7(I132, I133, I130, I131, I132, I133) [1 <= I132] 36.70/36.49 f9(I134, I135, I136, I137, I138, I139) -> f5(I138, I139, I136, I137, I138, I139) [I138 <= 0] 36.70/36.49 f7(I140, I141, I142, I143, I144, I145) -> f8(I144, I145, I142, I143, -1 + I144, I145) 36.70/36.49 f7(I146, I147, I148, I149, I150, I151) -> f6(I150, I151, I152, I153, I154, I155) [I155 = I153 /\ I154 = I152 /\ I153 = I153 /\ I152 = I152] 36.70/36.49 f5(I156, I157, I158, I159, I160, I161) -> f6(I160, I161, I162, I163, I164, I165) [I165 = I163 /\ I164 = I162 /\ I163 = I163 /\ I162 = I162] 36.70/36.49 f4(I166, I167, I168, I169, I170, I171) -> f1(I170, I171, I168, I169, I170, I171) 36.70/36.49 f1(I172, I173, I174, I175, I176, I177) -> f3(I176, I177, I174, I175, I176, I177) [1 <= I177 /\ 1 + I177 <= 0] 36.70/36.49 f1(I178, I179, I180, I181, I182, I183) -> f3(I182, I183, I180, I181, I182, I183) [1 <= I183 /\ 1 <= I183] 36.70/36.49 f1(I184, I185, I186, I187, I188, I189) -> f2(I188, I189, I186, I187, I188, I189) [0 <= I189 /\ I189 <= 0] 36.70/36.49 f1(I190, I191, I192, I193, I194, I195) -> f2(I194, I195, I192, I193, I194, I195) [I195 <= 0] 36.70/36.49 36.70/36.49 We use the extended value criterion with the projection function NU: 36.70/36.49 NU[f10#(x0,x1,x2,x3,x4,x5)] = x5 36.70/36.49 NU[f11#(x0,x1,x2,x3,x4,x5)] = x5 + 1 36.70/36.49 NU[f8#(x0,x1,x2,x3,x4,x5)] = x5 + 1 36.70/36.49 36.70/36.49 This gives the following inequalities: 36.70/36.49 ==> I77 + 1 >= I77 + 1 36.70/36.49 1 <= I105 ==> I105 + 1 > I105 with I105 + 1 >= 0 36.70/36.49 ==> I117 >= (-1 + I117) + 1 36.70/36.49 36.70/36.49 We remove all the strictly oriented dependency pairs. 36.70/36.49 36.70/36.49 DP problem for innermost termination. 36.70/36.49 P = 36.70/36.49 f8#(I72, I73, I74, I75, I76, I77) -> f11#(I76, I77, I74, I75, I76, I77) 36.70/36.49 f10#(I112, I113, I114, I115, I116, I117) -> f8#(I116, I117, I114, I115, I116, -1 + I117) 36.70/36.49 R = 36.70/36.49 f14(x1, x2, x3, x4, x5, x6) -> f13(x1, x2, x3, x4, x5, x6) 36.70/36.49 f13(I0, I1, I2, I3, I4, I5) -> f8(I0, I1, I2, I3, I4, I5) 36.70/36.49 f13(I6, I7, I8, I9, I10, I11) -> f3(I6, I7, I8, I9, I10, I11) 36.70/36.49 f13(I12, I13, I14, I15, I16, I17) -> f2(I12, I13, I14, I15, I16, I17) 36.70/36.49 f13(I18, I19, I20, I21, I22, I23) -> f12(I18, I19, I20, I21, I22, I23) 36.70/36.49 f13(I24, I25, I26, I27, I28, I29) -> f11(I24, I25, I26, I27, I28, I29) 36.70/36.49 f13(I30, I31, I32, I33, I34, I35) -> f10(I30, I31, I32, I33, I34, I35) 36.70/36.49 f13(I36, I37, I38, I39, I40, I41) -> f9(I36, I37, I38, I39, I40, I41) 36.70/36.49 f13(I42, I43, I44, I45, I46, I47) -> f6(I42, I43, I44, I45, I46, I47) 36.70/36.49 f13(I48, I49, I50, I51, I52, I53) -> f7(I48, I49, I50, I51, I52, I53) 36.70/36.49 f13(I54, I55, I56, I57, I58, I59) -> f5(I54, I55, I56, I57, I58, I59) 36.70/36.49 f13(I60, I61, I62, I63, I64, I65) -> f4(I60, I61, I62, I63, I64, I65) 36.70/36.49 f13(I66, I67, I68, I69, I70, I71) -> f1(I66, I67, I68, I69, I70, I71) 36.70/36.49 f8(I72, I73, I74, I75, I76, I77) -> f11(I76, I77, I74, I75, I76, I77) 36.70/36.49 f3(I78, I79, I80, I81, I82, I83) -> f4(I82, I83, I80, I81, I82, -1 + I83) 36.70/36.49 f3(I84, I85, I86, I87, I88, I89) -> f12(I88, I89, rnd3, rnd4, rnd5, rnd6) [rnd6 = rnd4 /\ rnd5 = rnd3 /\ rnd4 = rnd4 /\ rnd3 = rnd3] 36.70/36.49 f2(I90, I91, I92, I93, I94, I95) -> f12(I94, I95, I96, I97, I98, I99) [I99 = I97 /\ I98 = I96 /\ I97 = I97 /\ I96 = I96] 36.70/36.49 f11(I100, I101, I102, I103, I104, I105) -> f10(I104, I105, I102, I103, I104, I105) [1 <= I105] 36.70/36.49 f11(I106, I107, I108, I109, I110, I111) -> f9(I110, I111, I108, I109, I110, I111) [I111 <= 0] 36.70/36.49 f10(I112, I113, I114, I115, I116, I117) -> f8(I116, I117, I114, I115, I116, -1 + I117) 36.70/36.49 f10(I118, I119, I120, I121, I122, I123) -> f6(I122, I123, I124, I125, I126, I127) [I127 = I125 /\ I126 = I124 /\ I125 = I125 /\ I124 = I124] 36.70/36.49 f9(I128, I129, I130, I131, I132, I133) -> f7(I132, I133, I130, I131, I132, I133) [1 <= I132] 36.70/36.49 f9(I134, I135, I136, I137, I138, I139) -> f5(I138, I139, I136, I137, I138, I139) [I138 <= 0] 36.70/36.49 f7(I140, I141, I142, I143, I144, I145) -> f8(I144, I145, I142, I143, -1 + I144, I145) 36.70/36.49 f7(I146, I147, I148, I149, I150, I151) -> f6(I150, I151, I152, I153, I154, I155) [I155 = I153 /\ I154 = I152 /\ I153 = I153 /\ I152 = I152] 36.70/36.49 f5(I156, I157, I158, I159, I160, I161) -> f6(I160, I161, I162, I163, I164, I165) [I165 = I163 /\ I164 = I162 /\ I163 = I163 /\ I162 = I162] 36.70/36.49 f4(I166, I167, I168, I169, I170, I171) -> f1(I170, I171, I168, I169, I170, I171) 36.70/36.49 f1(I172, I173, I174, I175, I176, I177) -> f3(I176, I177, I174, I175, I176, I177) [1 <= I177 /\ 1 + I177 <= 0] 36.70/36.49 f1(I178, I179, I180, I181, I182, I183) -> f3(I182, I183, I180, I181, I182, I183) [1 <= I183 /\ 1 <= I183] 36.70/36.49 f1(I184, I185, I186, I187, I188, I189) -> f2(I188, I189, I186, I187, I188, I189) [0 <= I189 /\ I189 <= 0] 36.70/36.49 f1(I190, I191, I192, I193, I194, I195) -> f2(I194, I195, I192, I193, I194, I195) [I195 <= 0] 36.70/36.49 36.70/36.49 The dependency graph for this problem is: 36.70/36.49 11 -> 36.70/36.49 15 -> 11 36.70/36.49 Where: 36.70/36.49 11) f8#(I72, I73, I74, I75, I76, I77) -> f11#(I76, I77, I74, I75, I76, I77) 36.70/36.49 15) f10#(I112, I113, I114, I115, I116, I117) -> f8#(I116, I117, I114, I115, I116, -1 + I117) 36.70/36.49 36.70/36.49 We have the following SCCs. 36.70/36.49 36.70/39.46 EOF