22.94/22.70 MAYBE 22.94/22.70 22.94/22.70 DP problem for innermost termination. 22.94/22.70 P = 22.94/22.70 f7#(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12) -> f4#(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12) 22.94/22.70 f6#(I0, I1, I2, I3, I4, I5, I6, I7, I8, I9, I10, I11) -> f5#(I0, I1, I2, I3, I4, I5, I6, I7, I8, I9, I10, I11) 22.94/22.70 f5#(I12, I13, I14, I15, I16, I17, I18, I19, I20, I21, I22, I23) -> f6#(I12, I13, I14, rnd4, rnd5, rnd6, I18, I19, I20, I20, I22, I23) [y2 = I23 /\ y3 = I14 /\ 0 <= -1 + y3 /\ rnd5 = rnd5 /\ rnd6 = rnd6 /\ y1 = -1 + I18 /\ rnd4 = rnd4] 22.94/22.70 f3#(I24, I25, I26, I27, I28, I29, I30, I31, I32, I33, I34, I35) -> f5#(I24, I25, I26, I36, I37, I38, I30, I31, I32, I32, I34, I35) [I39 = I35 /\ I40 = I26 /\ 0 <= -1 + I40 /\ I37 = I37 /\ I38 = I38 /\ I41 = -1 + I25 /\ I36 = I36] 22.94/22.70 f4#(I58, I59, I60, I61, I62, I63, I64, I65, I66, I67, I68, I69) -> f1#(I58, I59, I60, I61, I62, I63, I64, rnd8, rnd9, rnd10, rnd11, rnd12) [rnd10 = rnd8 /\ rnd12 = rnd12 /\ rnd9 = rnd9 /\ rnd11 = rnd11 /\ rnd8 = rnd8] 22.94/22.70 f1#(I70, I71, I72, I73, I74, I75, I76, I77, I78, I79, I80, I81) -> f3#(I70, I71, I72, I82, I83, I84, I76, I77, I78, I78, I80, I81) [I85 = I80 /\ I86 = I71 /\ 0 <= -1 + I86 /\ I83 = I83 /\ I84 = I84 /\ I87 = I71 /\ I82 = I82] 22.94/22.70 R = 22.94/22.70 f7(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12) -> f4(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12) 22.94/22.70 f6(I0, I1, I2, I3, I4, I5, I6, I7, I8, I9, I10, I11) -> f5(I0, I1, I2, I3, I4, I5, I6, I7, I8, I9, I10, I11) 22.94/22.70 f5(I12, I13, I14, I15, I16, I17, I18, I19, I20, I21, I22, I23) -> f6(I12, I13, I14, rnd4, rnd5, rnd6, I18, I19, I20, I20, I22, I23) [y2 = I23 /\ y3 = I14 /\ 0 <= -1 + y3 /\ rnd5 = rnd5 /\ rnd6 = rnd6 /\ y1 = -1 + I18 /\ rnd4 = rnd4] 22.94/22.70 f3(I24, I25, I26, I27, I28, I29, I30, I31, I32, I33, I34, I35) -> f5(I24, I25, I26, I36, I37, I38, I30, I31, I32, I32, I34, I35) [I39 = I35 /\ I40 = I26 /\ 0 <= -1 + I40 /\ I37 = I37 /\ I38 = I38 /\ I41 = -1 + I25 /\ I36 = I36] 22.94/22.70 f3(I42, I43, I44, I45, I46, I47, I48, I49, I50, I51, I52, I53) -> f2(rnd1, I43, I44, I45, I54, I55, I48, I49, I50, I51, I52, I53) [I56 = I53 /\ I57 = I44 /\ I57 <= 0 /\ I54 = I54 /\ I55 = I55 /\ rnd1 = rnd1] 22.94/22.70 f4(I58, I59, I60, I61, I62, I63, I64, I65, I66, I67, I68, I69) -> f1(I58, I59, I60, I61, I62, I63, I64, rnd8, rnd9, rnd10, rnd11, rnd12) [rnd10 = rnd8 /\ rnd12 = rnd12 /\ rnd9 = rnd9 /\ rnd11 = rnd11 /\ rnd8 = rnd8] 22.94/22.70 f1(I70, I71, I72, I73, I74, I75, I76, I77, I78, I79, I80, I81) -> f3(I70, I71, I72, I82, I83, I84, I76, I77, I78, I78, I80, I81) [I85 = I80 /\ I86 = I71 /\ 0 <= -1 + I86 /\ I83 = I83 /\ I84 = I84 /\ I87 = I71 /\ I82 = I82] 22.94/22.70 f1(I88, I89, I90, I91, I92, I93, I94, I95, I96, I97, I98, I99) -> f2(I100, I89, I90, I91, I101, I102, I94, I95, I96, I97, I98, I99) [I103 = I98 /\ I104 = I89 /\ I104 <= 0 /\ I101 = I101 /\ I102 = I102 /\ I100 = I100] 22.94/22.70 22.94/22.70 The dependency graph for this problem is: 22.94/22.70 0 -> 4 22.94/22.70 1 -> 2 22.94/22.70 2 -> 1 22.94/22.70 3 -> 2 22.94/22.70 4 -> 5 22.94/22.70 5 -> 3 22.94/22.70 Where: 22.94/22.70 0) f7#(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12) -> f4#(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12) 22.94/22.70 1) f6#(I0, I1, I2, I3, I4, I5, I6, I7, I8, I9, I10, I11) -> f5#(I0, I1, I2, I3, I4, I5, I6, I7, I8, I9, I10, I11) 22.94/22.70 2) f5#(I12, I13, I14, I15, I16, I17, I18, I19, I20, I21, I22, I23) -> f6#(I12, I13, I14, rnd4, rnd5, rnd6, I18, I19, I20, I20, I22, I23) [y2 = I23 /\ y3 = I14 /\ 0 <= -1 + y3 /\ rnd5 = rnd5 /\ rnd6 = rnd6 /\ y1 = -1 + I18 /\ rnd4 = rnd4] 22.94/22.70 3) f3#(I24, I25, I26, I27, I28, I29, I30, I31, I32, I33, I34, I35) -> f5#(I24, I25, I26, I36, I37, I38, I30, I31, I32, I32, I34, I35) [I39 = I35 /\ I40 = I26 /\ 0 <= -1 + I40 /\ I37 = I37 /\ I38 = I38 /\ I41 = -1 + I25 /\ I36 = I36] 22.94/22.70 4) f4#(I58, I59, I60, I61, I62, I63, I64, I65, I66, I67, I68, I69) -> f1#(I58, I59, I60, I61, I62, I63, I64, rnd8, rnd9, rnd10, rnd11, rnd12) [rnd10 = rnd8 /\ rnd12 = rnd12 /\ rnd9 = rnd9 /\ rnd11 = rnd11 /\ rnd8 = rnd8] 22.94/22.70 5) f1#(I70, I71, I72, I73, I74, I75, I76, I77, I78, I79, I80, I81) -> f3#(I70, I71, I72, I82, I83, I84, I76, I77, I78, I78, I80, I81) [I85 = I80 /\ I86 = I71 /\ 0 <= -1 + I86 /\ I83 = I83 /\ I84 = I84 /\ I87 = I71 /\ I82 = I82] 22.94/22.70 22.94/22.70 We have the following SCCs. 22.94/22.70 { 1, 2 } 22.94/22.70 22.94/22.70 DP problem for innermost termination. 22.94/22.70 P = 22.94/22.70 f6#(I0, I1, I2, I3, I4, I5, I6, I7, I8, I9, I10, I11) -> f5#(I0, I1, I2, I3, I4, I5, I6, I7, I8, I9, I10, I11) 22.94/22.70 f5#(I12, I13, I14, I15, I16, I17, I18, I19, I20, I21, I22, I23) -> f6#(I12, I13, I14, rnd4, rnd5, rnd6, I18, I19, I20, I20, I22, I23) [y2 = I23 /\ y3 = I14 /\ 0 <= -1 + y3 /\ rnd5 = rnd5 /\ rnd6 = rnd6 /\ y1 = -1 + I18 /\ rnd4 = rnd4] 22.94/22.70 R = 22.94/22.70 f7(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12) -> f4(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12) 22.94/22.70 f6(I0, I1, I2, I3, I4, I5, I6, I7, I8, I9, I10, I11) -> f5(I0, I1, I2, I3, I4, I5, I6, I7, I8, I9, I10, I11) 22.94/22.70 f5(I12, I13, I14, I15, I16, I17, I18, I19, I20, I21, I22, I23) -> f6(I12, I13, I14, rnd4, rnd5, rnd6, I18, I19, I20, I20, I22, I23) [y2 = I23 /\ y3 = I14 /\ 0 <= -1 + y3 /\ rnd5 = rnd5 /\ rnd6 = rnd6 /\ y1 = -1 + I18 /\ rnd4 = rnd4] 22.94/22.70 f3(I24, I25, I26, I27, I28, I29, I30, I31, I32, I33, I34, I35) -> f5(I24, I25, I26, I36, I37, I38, I30, I31, I32, I32, I34, I35) [I39 = I35 /\ I40 = I26 /\ 0 <= -1 + I40 /\ I37 = I37 /\ I38 = I38 /\ I41 = -1 + I25 /\ I36 = I36] 22.94/22.70 f3(I42, I43, I44, I45, I46, I47, I48, I49, I50, I51, I52, I53) -> f2(rnd1, I43, I44, I45, I54, I55, I48, I49, I50, I51, I52, I53) [I56 = I53 /\ I57 = I44 /\ I57 <= 0 /\ I54 = I54 /\ I55 = I55 /\ rnd1 = rnd1] 22.94/22.70 f4(I58, I59, I60, I61, I62, I63, I64, I65, I66, I67, I68, I69) -> f1(I58, I59, I60, I61, I62, I63, I64, rnd8, rnd9, rnd10, rnd11, rnd12) [rnd10 = rnd8 /\ rnd12 = rnd12 /\ rnd9 = rnd9 /\ rnd11 = rnd11 /\ rnd8 = rnd8] 22.94/22.70 f1(I70, I71, I72, I73, I74, I75, I76, I77, I78, I79, I80, I81) -> f3(I70, I71, I72, I82, I83, I84, I76, I77, I78, I78, I80, I81) [I85 = I80 /\ I86 = I71 /\ 0 <= -1 + I86 /\ I83 = I83 /\ I84 = I84 /\ I87 = I71 /\ I82 = I82] 22.94/22.70 f1(I88, I89, I90, I91, I92, I93, I94, I95, I96, I97, I98, I99) -> f2(I100, I89, I90, I91, I101, I102, I94, I95, I96, I97, I98, I99) [I103 = I98 /\ I104 = I89 /\ I104 <= 0 /\ I101 = I101 /\ I102 = I102 /\ I100 = I100] 22.94/22.70 22.94/25.68 EOF