12.87/12.68 MAYBE 12.87/12.68 12.87/12.68 DP problem for innermost termination. 12.87/12.68 P = 12.87/12.68 f7#(x1, x2, x3, x4, x5, x6, x7, x8, x9) -> f6#(x1, x2, x3, x4, x5, x6, x7, x8, x9) 12.87/12.68 f6#(I0, I1, I2, I3, I4, I5, I6, I7, I8) -> f5#(I0, I1, I2, I3, I4, I5, I6, I7, I8) 12.87/12.68 f6#(I9, I10, I11, I12, I13, I14, I15, I16, I17) -> f4#(I9, I10, I11, I12, I13, I14, I15, I16, I17) 12.87/12.68 f6#(I18, I19, I20, I21, I22, I23, I24, I25, I26) -> f3#(I18, I19, I20, I21, I22, I23, I24, I25, I26) 12.87/12.68 f6#(I27, I28, I29, I30, I31, I32, I33, I34, I35) -> f1#(I27, I28, I29, I30, I31, I32, I33, I34, I35) 12.87/12.68 f6#(I45, I46, I47, I48, I49, I50, I51, I52, I53) -> f5#(I51, I52, I53, rnd4, rnd5, rnd6, rnd7, rnd8, rnd9) [rnd9 = rnd6 /\ rnd8 = rnd5 /\ rnd7 = rnd4 /\ rnd6 = rnd6 /\ rnd5 = rnd5 /\ rnd4 = rnd4] 12.87/12.68 f5#(I54, I55, I56, I57, I58, I59, I60, I61, I62) -> f4#(I60, I61, I62, I63, I64, I59, 0, I65, I66) [I66 = I64 /\ I65 = I63 /\ I64 = I64 /\ I63 = I63] 12.87/12.68 f4#(I67, I68, I69, I70, I71, I72, I73, I74, I75) -> f3#(I73, I74, I75, I70, I71, I72, I73, I74, I75) [1 <= I74] 12.87/12.68 f4#(I76, I77, I78, I79, I80, I81, I82, I83, I84) -> f1#(I82, I83, I84, I79, I80, I81, I82, I83, I84) [I83 <= 0] 12.87/12.68 f3#(I85, I86, I87, I88, I89, I90, I91, I92, I93) -> f4#(I91, I92, I93, I88, I89, I90, 1 + I91, I93, -1 + I92) 12.87/12.68 R = 12.87/12.68 f7(x1, x2, x3, x4, x5, x6, x7, x8, x9) -> f6(x1, x2, x3, x4, x5, x6, x7, x8, x9) 12.87/12.68 f6(I0, I1, I2, I3, I4, I5, I6, I7, I8) -> f5(I0, I1, I2, I3, I4, I5, I6, I7, I8) 12.87/12.68 f6(I9, I10, I11, I12, I13, I14, I15, I16, I17) -> f4(I9, I10, I11, I12, I13, I14, I15, I16, I17) 12.87/12.68 f6(I18, I19, I20, I21, I22, I23, I24, I25, I26) -> f3(I18, I19, I20, I21, I22, I23, I24, I25, I26) 12.87/12.68 f6(I27, I28, I29, I30, I31, I32, I33, I34, I35) -> f1(I27, I28, I29, I30, I31, I32, I33, I34, I35) 12.87/12.68 f6(I36, I37, I38, I39, I40, I41, I42, I43, I44) -> f2(I36, I37, I38, I39, I40, I41, I42, I43, I44) 12.87/12.68 f6(I45, I46, I47, I48, I49, I50, I51, I52, I53) -> f5(I51, I52, I53, rnd4, rnd5, rnd6, rnd7, rnd8, rnd9) [rnd9 = rnd6 /\ rnd8 = rnd5 /\ rnd7 = rnd4 /\ rnd6 = rnd6 /\ rnd5 = rnd5 /\ rnd4 = rnd4] 12.87/12.68 f5(I54, I55, I56, I57, I58, I59, I60, I61, I62) -> f4(I60, I61, I62, I63, I64, I59, 0, I65, I66) [I66 = I64 /\ I65 = I63 /\ I64 = I64 /\ I63 = I63] 12.87/12.68 f4(I67, I68, I69, I70, I71, I72, I73, I74, I75) -> f3(I73, I74, I75, I70, I71, I72, I73, I74, I75) [1 <= I74] 12.87/12.68 f4(I76, I77, I78, I79, I80, I81, I82, I83, I84) -> f1(I82, I83, I84, I79, I80, I81, I82, I83, I84) [I83 <= 0] 12.87/12.68 f3(I85, I86, I87, I88, I89, I90, I91, I92, I93) -> f4(I91, I92, I93, I88, I89, I90, 1 + I91, I93, -1 + I92) 12.87/12.68 f1(I94, I95, I96, I97, I98, I99, I100, I101, I102) -> f2(I100, I101, I102, I103, I104, I105, I106, I107, I108) [I108 = I105 /\ I107 = I104 /\ I106 = I103 /\ I105 = I105 /\ I104 = I104 /\ I103 = I103] 12.87/12.68 12.87/12.68 The dependency graph for this problem is: 12.87/12.68 0 -> 1, 2, 3, 4, 5 12.87/12.68 1 -> 6 12.87/12.68 2 -> 7, 8 12.87/12.68 3 -> 9 12.87/12.68 4 -> 12.87/12.68 5 -> 6 12.87/12.68 6 -> 7, 8 12.87/12.68 7 -> 9 12.87/12.68 8 -> 12.87/12.68 9 -> 7, 8 12.87/12.68 Where: 12.87/12.68 0) f7#(x1, x2, x3, x4, x5, x6, x7, x8, x9) -> f6#(x1, x2, x3, x4, x5, x6, x7, x8, x9) 12.87/12.68 1) f6#(I0, I1, I2, I3, I4, I5, I6, I7, I8) -> f5#(I0, I1, I2, I3, I4, I5, I6, I7, I8) 12.87/12.68 2) f6#(I9, I10, I11, I12, I13, I14, I15, I16, I17) -> f4#(I9, I10, I11, I12, I13, I14, I15, I16, I17) 12.87/12.68 3) f6#(I18, I19, I20, I21, I22, I23, I24, I25, I26) -> f3#(I18, I19, I20, I21, I22, I23, I24, I25, I26) 12.87/12.68 4) f6#(I27, I28, I29, I30, I31, I32, I33, I34, I35) -> f1#(I27, I28, I29, I30, I31, I32, I33, I34, I35) 12.87/12.68 5) f6#(I45, I46, I47, I48, I49, I50, I51, I52, I53) -> f5#(I51, I52, I53, rnd4, rnd5, rnd6, rnd7, rnd8, rnd9) [rnd9 = rnd6 /\ rnd8 = rnd5 /\ rnd7 = rnd4 /\ rnd6 = rnd6 /\ rnd5 = rnd5 /\ rnd4 = rnd4] 12.87/12.68 6) f5#(I54, I55, I56, I57, I58, I59, I60, I61, I62) -> f4#(I60, I61, I62, I63, I64, I59, 0, I65, I66) [I66 = I64 /\ I65 = I63 /\ I64 = I64 /\ I63 = I63] 12.87/12.68 7) f4#(I67, I68, I69, I70, I71, I72, I73, I74, I75) -> f3#(I73, I74, I75, I70, I71, I72, I73, I74, I75) [1 <= I74] 12.87/12.68 8) f4#(I76, I77, I78, I79, I80, I81, I82, I83, I84) -> f1#(I82, I83, I84, I79, I80, I81, I82, I83, I84) [I83 <= 0] 12.87/12.68 9) f3#(I85, I86, I87, I88, I89, I90, I91, I92, I93) -> f4#(I91, I92, I93, I88, I89, I90, 1 + I91, I93, -1 + I92) 12.87/12.68 12.87/12.68 We have the following SCCs. 12.87/12.68 { 7, 9 } 12.87/12.68 12.87/12.68 DP problem for innermost termination. 12.87/12.68 P = 12.87/12.68 f4#(I67, I68, I69, I70, I71, I72, I73, I74, I75) -> f3#(I73, I74, I75, I70, I71, I72, I73, I74, I75) [1 <= I74] 12.87/12.68 f3#(I85, I86, I87, I88, I89, I90, I91, I92, I93) -> f4#(I91, I92, I93, I88, I89, I90, 1 + I91, I93, -1 + I92) 12.87/12.68 R = 12.87/12.68 f7(x1, x2, x3, x4, x5, x6, x7, x8, x9) -> f6(x1, x2, x3, x4, x5, x6, x7, x8, x9) 12.87/12.68 f6(I0, I1, I2, I3, I4, I5, I6, I7, I8) -> f5(I0, I1, I2, I3, I4, I5, I6, I7, I8) 12.87/12.68 f6(I9, I10, I11, I12, I13, I14, I15, I16, I17) -> f4(I9, I10, I11, I12, I13, I14, I15, I16, I17) 12.87/12.68 f6(I18, I19, I20, I21, I22, I23, I24, I25, I26) -> f3(I18, I19, I20, I21, I22, I23, I24, I25, I26) 12.87/12.68 f6(I27, I28, I29, I30, I31, I32, I33, I34, I35) -> f1(I27, I28, I29, I30, I31, I32, I33, I34, I35) 12.87/12.68 f6(I36, I37, I38, I39, I40, I41, I42, I43, I44) -> f2(I36, I37, I38, I39, I40, I41, I42, I43, I44) 12.87/12.68 f6(I45, I46, I47, I48, I49, I50, I51, I52, I53) -> f5(I51, I52, I53, rnd4, rnd5, rnd6, rnd7, rnd8, rnd9) [rnd9 = rnd6 /\ rnd8 = rnd5 /\ rnd7 = rnd4 /\ rnd6 = rnd6 /\ rnd5 = rnd5 /\ rnd4 = rnd4] 12.87/12.68 f5(I54, I55, I56, I57, I58, I59, I60, I61, I62) -> f4(I60, I61, I62, I63, I64, I59, 0, I65, I66) [I66 = I64 /\ I65 = I63 /\ I64 = I64 /\ I63 = I63] 12.87/12.68 f4(I67, I68, I69, I70, I71, I72, I73, I74, I75) -> f3(I73, I74, I75, I70, I71, I72, I73, I74, I75) [1 <= I74] 12.87/12.68 f4(I76, I77, I78, I79, I80, I81, I82, I83, I84) -> f1(I82, I83, I84, I79, I80, I81, I82, I83, I84) [I83 <= 0] 12.87/12.68 f3(I85, I86, I87, I88, I89, I90, I91, I92, I93) -> f4(I91, I92, I93, I88, I89, I90, 1 + I91, I93, -1 + I92) 12.87/12.68 f1(I94, I95, I96, I97, I98, I99, I100, I101, I102) -> f2(I100, I101, I102, I103, I104, I105, I106, I107, I108) [I108 = I105 /\ I107 = I104 /\ I106 = I103 /\ I105 = I105 /\ I104 = I104 /\ I103 = I103] 12.87/12.68 12.87/15.66 EOF