18.54/18.27 MAYBE 18.54/18.27 18.54/18.27 DP problem for innermost termination. 18.54/18.27 P = 18.54/18.27 f9#(x1, x2, x3, x4, x5, x6) -> f8#(x1, x2, x3, x4, x5, x6) 18.54/18.27 f8#(I0, I1, I2, I3, I4, I5) -> f4#(I0, I1, I2, I3, I4, I5) 18.54/18.27 f8#(I6, I7, I8, I9, I10, I11) -> f7#(I6, I7, I8, I9, I10, I11) 18.54/18.27 f8#(I12, I13, I14, I15, I16, I17) -> f6#(I12, I13, I14, I15, I16, I17) 18.54/18.27 f8#(I18, I19, I20, I21, I22, I23) -> f5#(I18, I19, I20, I21, I22, I23) 18.54/18.27 f8#(I30, I31, I32, I33, I34, I35) -> f3#(I30, I31, I32, I33, I34, I35) 18.54/18.27 f8#(I36, I37, I38, I39, I40, I41) -> f1#(I36, I37, I38, I39, I40, I41) 18.54/18.27 f4#(I42, I43, I44, I45, I46, I47) -> f7#(I46, I47, I44, I45, I46, I47) 18.54/18.27 f7#(I48, I49, I50, I51, I52, I53) -> f6#(I52, I53, I50, I51, I52, I53) [1 <= I52] 18.54/18.27 f7#(I54, I55, I56, I57, I58, I59) -> f5#(I58, I59, I56, I57, I58, I59) [I58 <= 0] 18.54/18.27 f6#(I60, I61, I62, I63, I64, I65) -> f4#(I64, I65, I62, I63, -1 + I64, 1 + I65) 18.54/18.27 f5#(I72, I73, I74, I75, I76, I77) -> f3#(I76, I77, I74, I75, I76, I77) [3 <= I77] 18.54/18.27 f5#(I78, I79, I80, I81, I82, I83) -> f1#(I82, I83, I80, I81, I82, I83) [I83 <= 2] 18.54/18.27 f3#(I84, I85, I86, I87, I88, I89) -> f4#(I88, I89, I86, I87, 1 + I88, -2 + I89) 18.54/18.27 R = 18.54/18.27 f9(x1, x2, x3, x4, x5, x6) -> f8(x1, x2, x3, x4, x5, x6) 18.54/18.27 f8(I0, I1, I2, I3, I4, I5) -> f4(I0, I1, I2, I3, I4, I5) 18.54/18.27 f8(I6, I7, I8, I9, I10, I11) -> f7(I6, I7, I8, I9, I10, I11) 18.54/18.27 f8(I12, I13, I14, I15, I16, I17) -> f6(I12, I13, I14, I15, I16, I17) 18.54/18.27 f8(I18, I19, I20, I21, I22, I23) -> f5(I18, I19, I20, I21, I22, I23) 18.54/18.27 f8(I24, I25, I26, I27, I28, I29) -> f2(I24, I25, I26, I27, I28, I29) 18.54/18.27 f8(I30, I31, I32, I33, I34, I35) -> f3(I30, I31, I32, I33, I34, I35) 18.54/18.27 f8(I36, I37, I38, I39, I40, I41) -> f1(I36, I37, I38, I39, I40, I41) 18.54/18.27 f4(I42, I43, I44, I45, I46, I47) -> f7(I46, I47, I44, I45, I46, I47) 18.54/18.27 f7(I48, I49, I50, I51, I52, I53) -> f6(I52, I53, I50, I51, I52, I53) [1 <= I52] 18.54/18.27 f7(I54, I55, I56, I57, I58, I59) -> f5(I58, I59, I56, I57, I58, I59) [I58 <= 0] 18.54/18.27 f6(I60, I61, I62, I63, I64, I65) -> f4(I64, I65, I62, I63, -1 + I64, 1 + I65) 18.54/18.27 f6(I66, I67, I68, I69, I70, I71) -> f2(I70, I71, rnd3, rnd4, rnd5, rnd6) [rnd6 = rnd4 /\ rnd5 = rnd3 /\ rnd4 = rnd4 /\ rnd3 = rnd3] 18.54/18.27 f5(I72, I73, I74, I75, I76, I77) -> f3(I76, I77, I74, I75, I76, I77) [3 <= I77] 18.54/18.27 f5(I78, I79, I80, I81, I82, I83) -> f1(I82, I83, I80, I81, I82, I83) [I83 <= 2] 18.54/18.27 f3(I84, I85, I86, I87, I88, I89) -> f4(I88, I89, I86, I87, 1 + I88, -2 + I89) 18.54/18.27 f3(I90, I91, I92, I93, I94, I95) -> f2(I94, I95, I96, I97, I98, I99) [I99 = I97 /\ I98 = I96 /\ I97 = I97 /\ I96 = I96] 18.54/18.27 f1(I100, I101, I102, I103, I104, I105) -> f2(I104, I105, I106, I107, I108, I109) [I109 = I107 /\ I108 = I106 /\ I107 = I107 /\ I106 = I106] 18.54/18.27 18.54/18.27 The dependency graph for this problem is: 18.54/18.27 0 -> 1, 2, 3, 4, 5, 6 18.54/18.27 1 -> 7 18.54/18.27 2 -> 8, 9 18.54/18.27 3 -> 10 18.54/18.27 4 -> 11, 12 18.54/18.27 5 -> 13 18.54/18.27 6 -> 18.54/18.27 7 -> 8, 9 18.54/18.27 8 -> 10 18.54/18.27 9 -> 11, 12 18.54/18.27 10 -> 7 18.54/18.27 11 -> 13 18.54/18.27 12 -> 18.54/18.27 13 -> 7 18.54/18.27 Where: 18.54/18.27 0) f9#(x1, x2, x3, x4, x5, x6) -> f8#(x1, x2, x3, x4, x5, x6) 18.54/18.27 1) f8#(I0, I1, I2, I3, I4, I5) -> f4#(I0, I1, I2, I3, I4, I5) 18.54/18.27 2) f8#(I6, I7, I8, I9, I10, I11) -> f7#(I6, I7, I8, I9, I10, I11) 18.54/18.27 3) f8#(I12, I13, I14, I15, I16, I17) -> f6#(I12, I13, I14, I15, I16, I17) 18.54/18.27 4) f8#(I18, I19, I20, I21, I22, I23) -> f5#(I18, I19, I20, I21, I22, I23) 18.54/18.27 5) f8#(I30, I31, I32, I33, I34, I35) -> f3#(I30, I31, I32, I33, I34, I35) 18.54/18.27 6) f8#(I36, I37, I38, I39, I40, I41) -> f1#(I36, I37, I38, I39, I40, I41) 18.54/18.27 7) f4#(I42, I43, I44, I45, I46, I47) -> f7#(I46, I47, I44, I45, I46, I47) 18.54/18.27 8) f7#(I48, I49, I50, I51, I52, I53) -> f6#(I52, I53, I50, I51, I52, I53) [1 <= I52] 18.54/18.27 9) f7#(I54, I55, I56, I57, I58, I59) -> f5#(I58, I59, I56, I57, I58, I59) [I58 <= 0] 18.54/18.27 10) f6#(I60, I61, I62, I63, I64, I65) -> f4#(I64, I65, I62, I63, -1 + I64, 1 + I65) 18.54/18.27 11) f5#(I72, I73, I74, I75, I76, I77) -> f3#(I76, I77, I74, I75, I76, I77) [3 <= I77] 18.54/18.27 12) f5#(I78, I79, I80, I81, I82, I83) -> f1#(I82, I83, I80, I81, I82, I83) [I83 <= 2] 18.54/18.27 13) f3#(I84, I85, I86, I87, I88, I89) -> f4#(I88, I89, I86, I87, 1 + I88, -2 + I89) 18.54/18.27 18.54/18.27 We have the following SCCs. 18.54/18.27 { 7, 8, 9, 10, 11, 13 } 18.54/18.27 18.54/18.27 DP problem for innermost termination. 18.54/18.27 P = 18.54/18.27 f4#(I42, I43, I44, I45, I46, I47) -> f7#(I46, I47, I44, I45, I46, I47) 18.54/18.27 f7#(I48, I49, I50, I51, I52, I53) -> f6#(I52, I53, I50, I51, I52, I53) [1 <= I52] 18.54/18.27 f7#(I54, I55, I56, I57, I58, I59) -> f5#(I58, I59, I56, I57, I58, I59) [I58 <= 0] 18.54/18.27 f6#(I60, I61, I62, I63, I64, I65) -> f4#(I64, I65, I62, I63, -1 + I64, 1 + I65) 18.54/18.27 f5#(I72, I73, I74, I75, I76, I77) -> f3#(I76, I77, I74, I75, I76, I77) [3 <= I77] 18.54/18.27 f3#(I84, I85, I86, I87, I88, I89) -> f4#(I88, I89, I86, I87, 1 + I88, -2 + I89) 18.54/18.27 R = 18.54/18.27 f9(x1, x2, x3, x4, x5, x6) -> f8(x1, x2, x3, x4, x5, x6) 18.54/18.27 f8(I0, I1, I2, I3, I4, I5) -> f4(I0, I1, I2, I3, I4, I5) 18.54/18.27 f8(I6, I7, I8, I9, I10, I11) -> f7(I6, I7, I8, I9, I10, I11) 18.54/18.27 f8(I12, I13, I14, I15, I16, I17) -> f6(I12, I13, I14, I15, I16, I17) 18.54/18.27 f8(I18, I19, I20, I21, I22, I23) -> f5(I18, I19, I20, I21, I22, I23) 18.54/18.27 f8(I24, I25, I26, I27, I28, I29) -> f2(I24, I25, I26, I27, I28, I29) 18.54/18.27 f8(I30, I31, I32, I33, I34, I35) -> f3(I30, I31, I32, I33, I34, I35) 18.54/18.27 f8(I36, I37, I38, I39, I40, I41) -> f1(I36, I37, I38, I39, I40, I41) 18.54/18.27 f4(I42, I43, I44, I45, I46, I47) -> f7(I46, I47, I44, I45, I46, I47) 18.54/18.27 f7(I48, I49, I50, I51, I52, I53) -> f6(I52, I53, I50, I51, I52, I53) [1 <= I52] 18.54/18.27 f7(I54, I55, I56, I57, I58, I59) -> f5(I58, I59, I56, I57, I58, I59) [I58 <= 0] 18.54/18.27 f6(I60, I61, I62, I63, I64, I65) -> f4(I64, I65, I62, I63, -1 + I64, 1 + I65) 18.54/18.27 f6(I66, I67, I68, I69, I70, I71) -> f2(I70, I71, rnd3, rnd4, rnd5, rnd6) [rnd6 = rnd4 /\ rnd5 = rnd3 /\ rnd4 = rnd4 /\ rnd3 = rnd3] 18.54/18.27 f5(I72, I73, I74, I75, I76, I77) -> f3(I76, I77, I74, I75, I76, I77) [3 <= I77] 18.54/18.27 f5(I78, I79, I80, I81, I82, I83) -> f1(I82, I83, I80, I81, I82, I83) [I83 <= 2] 18.54/18.27 f3(I84, I85, I86, I87, I88, I89) -> f4(I88, I89, I86, I87, 1 + I88, -2 + I89) 18.54/18.27 f3(I90, I91, I92, I93, I94, I95) -> f2(I94, I95, I96, I97, I98, I99) [I99 = I97 /\ I98 = I96 /\ I97 = I97 /\ I96 = I96] 18.54/18.27 f1(I100, I101, I102, I103, I104, I105) -> f2(I104, I105, I106, I107, I108, I109) [I109 = I107 /\ I108 = I106 /\ I107 = I107 /\ I106 = I106] 18.54/18.27 18.54/21.25 EOF