36.95/36.41 MAYBE 36.95/36.41 36.95/36.41 DP problem for innermost termination. 36.95/36.41 P = 36.95/36.41 f8#(x1, x2, x3, x4, x5, x6, x7, x8, x9) -> f1#(x1, x2, x3, x4, x5, x6, x7, x8, x9) 36.95/36.41 f7#(I0, I1, I2, I3, I4, I5, I6, I7, I8) -> f2#(I0, I1, I2, I3, I4, I5, I6, I7, I8) 36.95/36.41 f6#(I9, I10, I11, I12, I13, I14, I15, I16, I17) -> f7#(I9, I10, I11, I12, rnd5, I14, I15, I16, I17) [y1 = I11 /\ rnd5 = rnd5] 36.95/36.41 f5#(I18, I19, I20, I21, I22, I23, I24, I25, I26) -> f6#(I18, I19, I20, I21, I22, I23, I24, I25, I26) [I19 = I19] 36.95/36.41 f2#(I27, I28, I29, I30, I31, I32, I33, I34, I35) -> f5#(I27, I28, I29, rnd4, I31, I32, rnd7, I34, I35) [I36 = I29 /\ 0 <= -1 - I36 + I35 /\ rnd4 = rnd4 /\ rnd7 = rnd7] 36.95/36.41 f4#(I37, I38, I39, I40, I41, I42, I43, I44, I45) -> f2#(I37, I38, I39, I40, I41, I42, I43, I44, I45) 36.95/36.41 f2#(I46, I47, I48, I49, I50, I51, I52, I53, I54) -> f4#(I46, I47, I48, I55, I50, I51, I56, I53, I54) [I57 = I48 /\ 0 <= -1 - I57 + I54 /\ I55 = I55 /\ I56 = I56 /\ I56 <= 0 /\ 0 <= I56] 36.95/36.41 f1#(I69, I70, I71, I72, I73, I74, I75, I76, I77) -> f2#(I69, I70, I71, I72, I73, rnd6, I75, rnd8, I77) [rnd6 = rnd8 /\ rnd8 = rnd8] 36.95/36.41 R = 36.95/36.41 f8(x1, x2, x3, x4, x5, x6, x7, x8, x9) -> f1(x1, x2, x3, x4, x5, x6, x7, x8, x9) 36.95/36.41 f7(I0, I1, I2, I3, I4, I5, I6, I7, I8) -> f2(I0, I1, I2, I3, I4, I5, I6, I7, I8) 36.95/36.41 f6(I9, I10, I11, I12, I13, I14, I15, I16, I17) -> f7(I9, I10, I11, I12, rnd5, I14, I15, I16, I17) [y1 = I11 /\ rnd5 = rnd5] 36.95/36.41 f5(I18, I19, I20, I21, I22, I23, I24, I25, I26) -> f6(I18, I19, I20, I21, I22, I23, I24, I25, I26) [I19 = I19] 36.95/36.41 f2(I27, I28, I29, I30, I31, I32, I33, I34, I35) -> f5(I27, I28, I29, rnd4, I31, I32, rnd7, I34, I35) [I36 = I29 /\ 0 <= -1 - I36 + I35 /\ rnd4 = rnd4 /\ rnd7 = rnd7] 36.95/36.41 f4(I37, I38, I39, I40, I41, I42, I43, I44, I45) -> f2(I37, I38, I39, I40, I41, I42, I43, I44, I45) 36.95/36.41 f2(I46, I47, I48, I49, I50, I51, I52, I53, I54) -> f4(I46, I47, I48, I55, I50, I51, I56, I53, I54) [I57 = I48 /\ 0 <= -1 - I57 + I54 /\ I55 = I55 /\ I56 = I56 /\ I56 <= 0 /\ 0 <= I56] 36.95/36.41 f2(I58, I59, I60, I61, I62, I63, I64, I65, I66) -> f3(rnd1, I59, I60, I67, I62, I63, I64, I65, I66) [I68 = I60 /\ -1 * I68 + I66 <= 0 /\ I67 = I67 /\ rnd1 = rnd1] 36.95/36.41 f1(I69, I70, I71, I72, I73, I74, I75, I76, I77) -> f2(I69, I70, I71, I72, I73, rnd6, I75, rnd8, I77) [rnd6 = rnd8 /\ rnd8 = rnd8] 36.95/36.41 36.95/36.41 The dependency graph for this problem is: 36.95/36.41 0 -> 7 36.95/36.41 1 -> 4, 6 36.95/36.41 2 -> 1 36.95/36.41 3 -> 2 36.95/36.41 4 -> 3 36.95/36.41 5 -> 4, 6 36.95/36.41 6 -> 5 36.95/36.41 7 -> 4, 6 36.95/36.41 Where: 36.95/36.41 0) f8#(x1, x2, x3, x4, x5, x6, x7, x8, x9) -> f1#(x1, x2, x3, x4, x5, x6, x7, x8, x9) 36.95/36.41 1) f7#(I0, I1, I2, I3, I4, I5, I6, I7, I8) -> f2#(I0, I1, I2, I3, I4, I5, I6, I7, I8) 36.95/36.41 2) f6#(I9, I10, I11, I12, I13, I14, I15, I16, I17) -> f7#(I9, I10, I11, I12, rnd5, I14, I15, I16, I17) [y1 = I11 /\ rnd5 = rnd5] 36.95/36.41 3) f5#(I18, I19, I20, I21, I22, I23, I24, I25, I26) -> f6#(I18, I19, I20, I21, I22, I23, I24, I25, I26) [I19 = I19] 36.95/36.41 4) f2#(I27, I28, I29, I30, I31, I32, I33, I34, I35) -> f5#(I27, I28, I29, rnd4, I31, I32, rnd7, I34, I35) [I36 = I29 /\ 0 <= -1 - I36 + I35 /\ rnd4 = rnd4 /\ rnd7 = rnd7] 36.95/36.41 5) f4#(I37, I38, I39, I40, I41, I42, I43, I44, I45) -> f2#(I37, I38, I39, I40, I41, I42, I43, I44, I45) 36.95/36.41 6) f2#(I46, I47, I48, I49, I50, I51, I52, I53, I54) -> f4#(I46, I47, I48, I55, I50, I51, I56, I53, I54) [I57 = I48 /\ 0 <= -1 - I57 + I54 /\ I55 = I55 /\ I56 = I56 /\ I56 <= 0 /\ 0 <= I56] 36.95/36.41 7) f1#(I69, I70, I71, I72, I73, I74, I75, I76, I77) -> f2#(I69, I70, I71, I72, I73, rnd6, I75, rnd8, I77) [rnd6 = rnd8 /\ rnd8 = rnd8] 36.95/36.41 36.95/36.41 We have the following SCCs. 36.95/36.41 { 1, 2, 3, 4, 5, 6 } 36.95/36.41 36.95/36.41 DP problem for innermost termination. 36.95/36.41 P = 36.95/36.41 f7#(I0, I1, I2, I3, I4, I5, I6, I7, I8) -> f2#(I0, I1, I2, I3, I4, I5, I6, I7, I8) 36.95/36.41 f6#(I9, I10, I11, I12, I13, I14, I15, I16, I17) -> f7#(I9, I10, I11, I12, rnd5, I14, I15, I16, I17) [y1 = I11 /\ rnd5 = rnd5] 36.95/36.41 f5#(I18, I19, I20, I21, I22, I23, I24, I25, I26) -> f6#(I18, I19, I20, I21, I22, I23, I24, I25, I26) [I19 = I19] 36.95/36.41 f2#(I27, I28, I29, I30, I31, I32, I33, I34, I35) -> f5#(I27, I28, I29, rnd4, I31, I32, rnd7, I34, I35) [I36 = I29 /\ 0 <= -1 - I36 + I35 /\ rnd4 = rnd4 /\ rnd7 = rnd7] 36.95/36.41 f4#(I37, I38, I39, I40, I41, I42, I43, I44, I45) -> f2#(I37, I38, I39, I40, I41, I42, I43, I44, I45) 36.95/36.41 f2#(I46, I47, I48, I49, I50, I51, I52, I53, I54) -> f4#(I46, I47, I48, I55, I50, I51, I56, I53, I54) [I57 = I48 /\ 0 <= -1 - I57 + I54 /\ I55 = I55 /\ I56 = I56 /\ I56 <= 0 /\ 0 <= I56] 36.95/36.41 R = 36.95/36.41 f8(x1, x2, x3, x4, x5, x6, x7, x8, x9) -> f1(x1, x2, x3, x4, x5, x6, x7, x8, x9) 36.95/36.41 f7(I0, I1, I2, I3, I4, I5, I6, I7, I8) -> f2(I0, I1, I2, I3, I4, I5, I6, I7, I8) 36.95/36.41 f6(I9, I10, I11, I12, I13, I14, I15, I16, I17) -> f7(I9, I10, I11, I12, rnd5, I14, I15, I16, I17) [y1 = I11 /\ rnd5 = rnd5] 36.95/36.41 f5(I18, I19, I20, I21, I22, I23, I24, I25, I26) -> f6(I18, I19, I20, I21, I22, I23, I24, I25, I26) [I19 = I19] 36.95/36.41 f2(I27, I28, I29, I30, I31, I32, I33, I34, I35) -> f5(I27, I28, I29, rnd4, I31, I32, rnd7, I34, I35) [I36 = I29 /\ 0 <= -1 - I36 + I35 /\ rnd4 = rnd4 /\ rnd7 = rnd7] 36.95/36.41 f4(I37, I38, I39, I40, I41, I42, I43, I44, I45) -> f2(I37, I38, I39, I40, I41, I42, I43, I44, I45) 36.95/36.41 f2(I46, I47, I48, I49, I50, I51, I52, I53, I54) -> f4(I46, I47, I48, I55, I50, I51, I56, I53, I54) [I57 = I48 /\ 0 <= -1 - I57 + I54 /\ I55 = I55 /\ I56 = I56 /\ I56 <= 0 /\ 0 <= I56] 36.95/36.41 f2(I58, I59, I60, I61, I62, I63, I64, I65, I66) -> f3(rnd1, I59, I60, I67, I62, I63, I64, I65, I66) [I68 = I60 /\ -1 * I68 + I66 <= 0 /\ I67 = I67 /\ rnd1 = rnd1] 36.95/36.41 f1(I69, I70, I71, I72, I73, I74, I75, I76, I77) -> f2(I69, I70, I71, I72, I73, rnd6, I75, rnd8, I77) [rnd6 = rnd8 /\ rnd8 = rnd8] 36.95/36.41 36.95/39.39 EOF