64.27/63.22 MAYBE 64.27/63.22 64.27/63.22 DP problem for innermost termination. 64.27/63.22 P = 64.27/63.22 f8#(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12) -> f7#(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12) 64.27/63.22 f7#(I0, I1, I2, I3, I4, I5, I6, I7, I8, I9, I10, I11) -> f1#(I0, I1, I2, I3, I4, I5, I6, rnd8, rnd9, I9, rnd11, rnd12) [rnd8 = rnd12 /\ rnd9 = rnd11 /\ rnd11 = rnd11 /\ rnd12 = rnd12] 64.27/63.22 f6#(I12, I13, I14, I15, I16, I17, I18, I19, I20, I21, I22, I23) -> f1#(I12, I13, I14, I15, I16, I17, I18, I19, I20, I21, I22, I23) 64.27/63.22 f5#(I24, I25, I26, I27, I28, I29, I30, I31, I32, I33, I34, I35) -> f6#(I24, I25, I26, I27, rnd5, I29, I30, I31, I32, I33, I34, I35) [y1 = I26 /\ rnd5 = rnd5] 64.27/63.22 f4#(I36, I37, I38, I39, I40, I41, I42, I43, I44, I45, I46, I47) -> f5#(I36, I37, I38, I39, I40, I41, I42, I43, I44, I45, I46, I47) [I37 = I37] 64.27/63.22 f1#(I48, I49, I50, I51, I52, I53, I54, I55, I56, I57, I58, I59) -> f4#(I48, I49, I50, I51, I52, rnd6, rnd7, I55, I56, rnd10, I58, I59) [I60 = I50 /\ y2 = I51 /\ 0 <= -1 - I60 + y2 /\ rnd6 = rnd6 /\ rnd7 = rnd7 /\ rnd10 = rnd10] 64.27/63.22 f3#(I61, I62, I63, I64, I65, I66, I67, I68, I69, I70, I71, I72) -> f1#(I61, I62, I63, I64, I65, I66, I67, I68, I69, I70, I71, I72) 64.27/63.22 f1#(I73, I74, I75, I76, I77, I78, I79, I80, I81, I82, I83, I84) -> f3#(I73, I74, I75, I76, I77, I85, I86, I80, I81, I87, I83, I84) [I88 = I75 /\ I89 = I76 /\ 0 <= -1 - I88 + I89 /\ I85 = I85 /\ I86 = I86 /\ I87 = I87 /\ I87 <= 0 /\ 0 <= I87] 64.27/63.22 R = 64.27/63.22 f8(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12) -> f7(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12) 64.27/63.22 f7(I0, I1, I2, I3, I4, I5, I6, I7, I8, I9, I10, I11) -> f1(I0, I1, I2, I3, I4, I5, I6, rnd8, rnd9, I9, rnd11, rnd12) [rnd8 = rnd12 /\ rnd9 = rnd11 /\ rnd11 = rnd11 /\ rnd12 = rnd12] 64.27/63.22 f6(I12, I13, I14, I15, I16, I17, I18, I19, I20, I21, I22, I23) -> f1(I12, I13, I14, I15, I16, I17, I18, I19, I20, I21, I22, I23) 64.27/63.22 f5(I24, I25, I26, I27, I28, I29, I30, I31, I32, I33, I34, I35) -> f6(I24, I25, I26, I27, rnd5, I29, I30, I31, I32, I33, I34, I35) [y1 = I26 /\ rnd5 = rnd5] 64.27/63.22 f4(I36, I37, I38, I39, I40, I41, I42, I43, I44, I45, I46, I47) -> f5(I36, I37, I38, I39, I40, I41, I42, I43, I44, I45, I46, I47) [I37 = I37] 64.27/63.22 f1(I48, I49, I50, I51, I52, I53, I54, I55, I56, I57, I58, I59) -> f4(I48, I49, I50, I51, I52, rnd6, rnd7, I55, I56, rnd10, I58, I59) [I60 = I50 /\ y2 = I51 /\ 0 <= -1 - I60 + y2 /\ rnd6 = rnd6 /\ rnd7 = rnd7 /\ rnd10 = rnd10] 64.27/63.22 f3(I61, I62, I63, I64, I65, I66, I67, I68, I69, I70, I71, I72) -> f1(I61, I62, I63, I64, I65, I66, I67, I68, I69, I70, I71, I72) 64.27/63.22 f1(I73, I74, I75, I76, I77, I78, I79, I80, I81, I82, I83, I84) -> f3(I73, I74, I75, I76, I77, I85, I86, I80, I81, I87, I83, I84) [I88 = I75 /\ I89 = I76 /\ 0 <= -1 - I88 + I89 /\ I85 = I85 /\ I86 = I86 /\ I87 = I87 /\ I87 <= 0 /\ 0 <= I87] 64.27/63.22 f1(I90, I91, I92, I93, I94, I95, I96, I97, I98, I99, I100, I101) -> f2(rnd1, I91, I92, I93, I94, I102, I103, I97, I98, I99, I100, I101) [I104 = I92 /\ I105 = I93 /\ -1 * I104 + I105 <= 0 /\ I102 = I102 /\ I103 = I103 /\ rnd1 = rnd1] 64.27/63.22 64.27/63.22 The dependency graph for this problem is: 64.27/63.22 0 -> 1 64.27/63.22 1 -> 5, 7 64.27/63.22 2 -> 5, 7 64.27/63.22 3 -> 2 64.27/63.22 4 -> 3 64.27/63.22 5 -> 4 64.27/63.22 6 -> 5, 7 64.27/63.22 7 -> 6 64.27/63.22 Where: 64.27/63.22 0) f8#(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12) -> f7#(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12) 64.27/63.22 1) f7#(I0, I1, I2, I3, I4, I5, I6, I7, I8, I9, I10, I11) -> f1#(I0, I1, I2, I3, I4, I5, I6, rnd8, rnd9, I9, rnd11, rnd12) [rnd8 = rnd12 /\ rnd9 = rnd11 /\ rnd11 = rnd11 /\ rnd12 = rnd12] 64.27/63.22 2) f6#(I12, I13, I14, I15, I16, I17, I18, I19, I20, I21, I22, I23) -> f1#(I12, I13, I14, I15, I16, I17, I18, I19, I20, I21, I22, I23) 64.27/63.22 3) f5#(I24, I25, I26, I27, I28, I29, I30, I31, I32, I33, I34, I35) -> f6#(I24, I25, I26, I27, rnd5, I29, I30, I31, I32, I33, I34, I35) [y1 = I26 /\ rnd5 = rnd5] 64.27/63.22 4) f4#(I36, I37, I38, I39, I40, I41, I42, I43, I44, I45, I46, I47) -> f5#(I36, I37, I38, I39, I40, I41, I42, I43, I44, I45, I46, I47) [I37 = I37] 64.27/63.22 5) f1#(I48, I49, I50, I51, I52, I53, I54, I55, I56, I57, I58, I59) -> f4#(I48, I49, I50, I51, I52, rnd6, rnd7, I55, I56, rnd10, I58, I59) [I60 = I50 /\ y2 = I51 /\ 0 <= -1 - I60 + y2 /\ rnd6 = rnd6 /\ rnd7 = rnd7 /\ rnd10 = rnd10] 64.27/63.22 6) f3#(I61, I62, I63, I64, I65, I66, I67, I68, I69, I70, I71, I72) -> f1#(I61, I62, I63, I64, I65, I66, I67, I68, I69, I70, I71, I72) 64.27/63.22 7) f1#(I73, I74, I75, I76, I77, I78, I79, I80, I81, I82, I83, I84) -> f3#(I73, I74, I75, I76, I77, I85, I86, I80, I81, I87, I83, I84) [I88 = I75 /\ I89 = I76 /\ 0 <= -1 - I88 + I89 /\ I85 = I85 /\ I86 = I86 /\ I87 = I87 /\ I87 <= 0 /\ 0 <= I87] 64.27/63.22 64.27/63.22 We have the following SCCs. 64.27/63.22 { 2, 3, 4, 5, 6, 7 } 64.27/63.22 64.27/63.22 DP problem for innermost termination. 64.27/63.22 P = 64.27/63.22 f6#(I12, I13, I14, I15, I16, I17, I18, I19, I20, I21, I22, I23) -> f1#(I12, I13, I14, I15, I16, I17, I18, I19, I20, I21, I22, I23) 64.27/63.22 f5#(I24, I25, I26, I27, I28, I29, I30, I31, I32, I33, I34, I35) -> f6#(I24, I25, I26, I27, rnd5, I29, I30, I31, I32, I33, I34, I35) [y1 = I26 /\ rnd5 = rnd5] 64.27/63.22 f4#(I36, I37, I38, I39, I40, I41, I42, I43, I44, I45, I46, I47) -> f5#(I36, I37, I38, I39, I40, I41, I42, I43, I44, I45, I46, I47) [I37 = I37] 64.27/63.22 f1#(I48, I49, I50, I51, I52, I53, I54, I55, I56, I57, I58, I59) -> f4#(I48, I49, I50, I51, I52, rnd6, rnd7, I55, I56, rnd10, I58, I59) [I60 = I50 /\ y2 = I51 /\ 0 <= -1 - I60 + y2 /\ rnd6 = rnd6 /\ rnd7 = rnd7 /\ rnd10 = rnd10] 64.27/63.22 f3#(I61, I62, I63, I64, I65, I66, I67, I68, I69, I70, I71, I72) -> f1#(I61, I62, I63, I64, I65, I66, I67, I68, I69, I70, I71, I72) 64.27/63.22 f1#(I73, I74, I75, I76, I77, I78, I79, I80, I81, I82, I83, I84) -> f3#(I73, I74, I75, I76, I77, I85, I86, I80, I81, I87, I83, I84) [I88 = I75 /\ I89 = I76 /\ 0 <= -1 - I88 + I89 /\ I85 = I85 /\ I86 = I86 /\ I87 = I87 /\ I87 <= 0 /\ 0 <= I87] 64.27/63.22 R = 64.27/63.22 f8(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12) -> f7(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12) 64.27/63.22 f7(I0, I1, I2, I3, I4, I5, I6, I7, I8, I9, I10, I11) -> f1(I0, I1, I2, I3, I4, I5, I6, rnd8, rnd9, I9, rnd11, rnd12) [rnd8 = rnd12 /\ rnd9 = rnd11 /\ rnd11 = rnd11 /\ rnd12 = rnd12] 64.27/63.22 f6(I12, I13, I14, I15, I16, I17, I18, I19, I20, I21, I22, I23) -> f1(I12, I13, I14, I15, I16, I17, I18, I19, I20, I21, I22, I23) 64.27/63.22 f5(I24, I25, I26, I27, I28, I29, I30, I31, I32, I33, I34, I35) -> f6(I24, I25, I26, I27, rnd5, I29, I30, I31, I32, I33, I34, I35) [y1 = I26 /\ rnd5 = rnd5] 64.27/63.22 f4(I36, I37, I38, I39, I40, I41, I42, I43, I44, I45, I46, I47) -> f5(I36, I37, I38, I39, I40, I41, I42, I43, I44, I45, I46, I47) [I37 = I37] 64.27/63.22 f1(I48, I49, I50, I51, I52, I53, I54, I55, I56, I57, I58, I59) -> f4(I48, I49, I50, I51, I52, rnd6, rnd7, I55, I56, rnd10, I58, I59) [I60 = I50 /\ y2 = I51 /\ 0 <= -1 - I60 + y2 /\ rnd6 = rnd6 /\ rnd7 = rnd7 /\ rnd10 = rnd10] 64.27/63.22 f3(I61, I62, I63, I64, I65, I66, I67, I68, I69, I70, I71, I72) -> f1(I61, I62, I63, I64, I65, I66, I67, I68, I69, I70, I71, I72) 64.27/63.22 f1(I73, I74, I75, I76, I77, I78, I79, I80, I81, I82, I83, I84) -> f3(I73, I74, I75, I76, I77, I85, I86, I80, I81, I87, I83, I84) [I88 = I75 /\ I89 = I76 /\ 0 <= -1 - I88 + I89 /\ I85 = I85 /\ I86 = I86 /\ I87 = I87 /\ I87 <= 0 /\ 0 <= I87] 64.27/63.22 f1(I90, I91, I92, I93, I94, I95, I96, I97, I98, I99, I100, I101) -> f2(rnd1, I91, I92, I93, I94, I102, I103, I97, I98, I99, I100, I101) [I104 = I92 /\ I105 = I93 /\ -1 * I104 + I105 <= 0 /\ I102 = I102 /\ I103 = I103 /\ rnd1 = rnd1] 64.27/63.22 64.27/66.19 EOF