14.26/14.12 MAYBE 14.26/14.12 14.26/14.12 DP problem for innermost termination. 14.26/14.12 P = 14.26/14.12 f9#(x1, x2, x3, x4, x5, x6) -> f7#(x1, x2, x3, x4, x5, x6) 14.26/14.12 f7#(I0, I1, I2, I3, I4, I5) -> f5#(I0, I1, I2, I3, I4, I5) 14.26/14.12 f7#(I6, I7, I8, I9, I10, I11) -> f6#(I6, I7, I8, I9, I10, I11) 14.26/14.12 f7#(I12, I13, I14, I15, I16, I17) -> f4#(I12, I13, I14, I15, I16, I17) 14.26/14.12 f7#(I18, I19, I20, I21, I22, I23) -> f3#(I18, I19, I20, I21, I22, I23) 14.26/14.12 f7#(I24, I25, I26, I27, I28, I29) -> f1#(I24, I25, I26, I27, I28, I29) 14.26/14.12 f5#(I48, I49, I50, I51, I52, I53) -> f6#(I52, I53, I54, I51, I52, I55) [I55 = I54 /\ I54 = I54] 14.26/14.12 f6#(I56, I57, I58, I59, I60, I61) -> f4#(I60, I61, I58, I59, I60, 0) 14.26/14.12 f4#(I62, I63, I64, I65, I66, I67) -> f3#(I66, I67, I64, I65, I66, I67) [1 + I67 <= I66] 14.26/14.12 f4#(I68, I69, I70, I71, I72, I73) -> f1#(I72, I73, I70, I71, I72, I73) [I72 <= I73] 14.26/14.12 f3#(I74, I75, I76, I77, I78, I79) -> f5#(I78, I79, I80, I77, I79, I81) [I81 = I80 /\ I80 = I80] 14.26/14.12 f3#(I82, I83, I84, I85, I86, I87) -> f4#(I86, I87, I84, I85, I86, 1 + I87) 14.26/14.12 R = 14.26/14.12 f9(x1, x2, x3, x4, x5, x6) -> f7(x1, x2, x3, x4, x5, x6) 14.26/14.12 f7(I0, I1, I2, I3, I4, I5) -> f5(I0, I1, I2, I3, I4, I5) 14.26/14.12 f7(I6, I7, I8, I9, I10, I11) -> f6(I6, I7, I8, I9, I10, I11) 14.26/14.12 f7(I12, I13, I14, I15, I16, I17) -> f4(I12, I13, I14, I15, I16, I17) 14.26/14.12 f7(I18, I19, I20, I21, I22, I23) -> f3(I18, I19, I20, I21, I22, I23) 14.26/14.12 f7(I24, I25, I26, I27, I28, I29) -> f1(I24, I25, I26, I27, I28, I29) 14.26/14.12 f7(I30, I31, I32, I33, I34, I35) -> f2(I30, I31, I32, I33, I34, I35) 14.26/14.12 f7(I36, I37, I38, I39, I40, I41) -> f8(I36, I37, I38, I39, I40, I41) 14.26/14.12 f7(I42, I43, I44, I45, I46, I47) -> f8(I46, I47, rnd3, rnd4, rnd5, rnd6) [rnd6 = rnd4 /\ rnd5 = rnd3 /\ rnd4 = rnd4 /\ rnd3 = rnd3] 14.26/14.12 f5(I48, I49, I50, I51, I52, I53) -> f6(I52, I53, I54, I51, I52, I55) [I55 = I54 /\ I54 = I54] 14.26/14.12 f6(I56, I57, I58, I59, I60, I61) -> f4(I60, I61, I58, I59, I60, 0) 14.26/14.12 f4(I62, I63, I64, I65, I66, I67) -> f3(I66, I67, I64, I65, I66, I67) [1 + I67 <= I66] 14.26/14.12 f4(I68, I69, I70, I71, I72, I73) -> f1(I72, I73, I70, I71, I72, I73) [I72 <= I73] 14.26/14.12 f3(I74, I75, I76, I77, I78, I79) -> f5(I78, I79, I80, I77, I79, I81) [I81 = I80 /\ I80 = I80] 14.26/14.12 f3(I82, I83, I84, I85, I86, I87) -> f4(I86, I87, I84, I85, I86, 1 + I87) 14.26/14.12 f1(I88, I89, I90, I91, I92, I93) -> f2(I92, I93, I94, I95, I96, I97) [I97 = I95 /\ I96 = I94 /\ I95 = I95 /\ I94 = I94] 14.26/14.12 14.26/14.12 The dependency graph for this problem is: 14.26/14.12 0 -> 1, 2, 3, 4, 5 14.26/14.12 1 -> 6 14.26/14.12 2 -> 7 14.26/14.12 3 -> 8, 9 14.26/14.12 4 -> 10, 11 14.26/14.12 5 -> 14.26/14.12 6 -> 7 14.26/14.12 7 -> 8, 9 14.26/14.12 8 -> 10, 11 14.26/14.12 9 -> 14.26/14.12 10 -> 6 14.26/14.12 11 -> 8, 9 14.26/14.12 Where: 14.26/14.12 0) f9#(x1, x2, x3, x4, x5, x6) -> f7#(x1, x2, x3, x4, x5, x6) 14.26/14.12 1) f7#(I0, I1, I2, I3, I4, I5) -> f5#(I0, I1, I2, I3, I4, I5) 14.26/14.12 2) f7#(I6, I7, I8, I9, I10, I11) -> f6#(I6, I7, I8, I9, I10, I11) 14.26/14.12 3) f7#(I12, I13, I14, I15, I16, I17) -> f4#(I12, I13, I14, I15, I16, I17) 14.26/14.12 4) f7#(I18, I19, I20, I21, I22, I23) -> f3#(I18, I19, I20, I21, I22, I23) 14.26/14.12 5) f7#(I24, I25, I26, I27, I28, I29) -> f1#(I24, I25, I26, I27, I28, I29) 14.26/14.12 6) f5#(I48, I49, I50, I51, I52, I53) -> f6#(I52, I53, I54, I51, I52, I55) [I55 = I54 /\ I54 = I54] 14.26/14.12 7) f6#(I56, I57, I58, I59, I60, I61) -> f4#(I60, I61, I58, I59, I60, 0) 14.26/14.12 8) f4#(I62, I63, I64, I65, I66, I67) -> f3#(I66, I67, I64, I65, I66, I67) [1 + I67 <= I66] 14.26/14.12 9) f4#(I68, I69, I70, I71, I72, I73) -> f1#(I72, I73, I70, I71, I72, I73) [I72 <= I73] 14.26/14.12 10) f3#(I74, I75, I76, I77, I78, I79) -> f5#(I78, I79, I80, I77, I79, I81) [I81 = I80 /\ I80 = I80] 14.26/14.12 11) f3#(I82, I83, I84, I85, I86, I87) -> f4#(I86, I87, I84, I85, I86, 1 + I87) 14.26/14.12 14.26/14.12 We have the following SCCs. 14.26/14.12 { 6, 7, 8, 10, 11 } 14.26/14.12 14.26/14.12 DP problem for innermost termination. 14.26/14.12 P = 14.26/14.12 f5#(I48, I49, I50, I51, I52, I53) -> f6#(I52, I53, I54, I51, I52, I55) [I55 = I54 /\ I54 = I54] 14.26/14.12 f6#(I56, I57, I58, I59, I60, I61) -> f4#(I60, I61, I58, I59, I60, 0) 14.26/14.12 f4#(I62, I63, I64, I65, I66, I67) -> f3#(I66, I67, I64, I65, I66, I67) [1 + I67 <= I66] 14.26/14.12 f3#(I74, I75, I76, I77, I78, I79) -> f5#(I78, I79, I80, I77, I79, I81) [I81 = I80 /\ I80 = I80] 14.26/14.12 f3#(I82, I83, I84, I85, I86, I87) -> f4#(I86, I87, I84, I85, I86, 1 + I87) 14.26/14.12 R = 14.26/14.12 f9(x1, x2, x3, x4, x5, x6) -> f7(x1, x2, x3, x4, x5, x6) 14.26/14.12 f7(I0, I1, I2, I3, I4, I5) -> f5(I0, I1, I2, I3, I4, I5) 14.26/14.12 f7(I6, I7, I8, I9, I10, I11) -> f6(I6, I7, I8, I9, I10, I11) 14.26/14.12 f7(I12, I13, I14, I15, I16, I17) -> f4(I12, I13, I14, I15, I16, I17) 14.26/14.12 f7(I18, I19, I20, I21, I22, I23) -> f3(I18, I19, I20, I21, I22, I23) 14.26/14.12 f7(I24, I25, I26, I27, I28, I29) -> f1(I24, I25, I26, I27, I28, I29) 14.26/14.12 f7(I30, I31, I32, I33, I34, I35) -> f2(I30, I31, I32, I33, I34, I35) 14.26/14.12 f7(I36, I37, I38, I39, I40, I41) -> f8(I36, I37, I38, I39, I40, I41) 14.26/14.12 f7(I42, I43, I44, I45, I46, I47) -> f8(I46, I47, rnd3, rnd4, rnd5, rnd6) [rnd6 = rnd4 /\ rnd5 = rnd3 /\ rnd4 = rnd4 /\ rnd3 = rnd3] 14.26/14.12 f5(I48, I49, I50, I51, I52, I53) -> f6(I52, I53, I54, I51, I52, I55) [I55 = I54 /\ I54 = I54] 14.26/14.12 f6(I56, I57, I58, I59, I60, I61) -> f4(I60, I61, I58, I59, I60, 0) 14.26/14.12 f4(I62, I63, I64, I65, I66, I67) -> f3(I66, I67, I64, I65, I66, I67) [1 + I67 <= I66] 14.26/14.12 f4(I68, I69, I70, I71, I72, I73) -> f1(I72, I73, I70, I71, I72, I73) [I72 <= I73] 14.26/14.12 f3(I74, I75, I76, I77, I78, I79) -> f5(I78, I79, I80, I77, I79, I81) [I81 = I80 /\ I80 = I80] 14.26/14.12 f3(I82, I83, I84, I85, I86, I87) -> f4(I86, I87, I84, I85, I86, 1 + I87) 14.26/14.12 f1(I88, I89, I90, I91, I92, I93) -> f2(I92, I93, I94, I95, I96, I97) [I97 = I95 /\ I96 = I94 /\ I95 = I95 /\ I94 = I94] 14.26/14.12 14.26/17.09 EOF