24.05/23.91 MAYBE 24.05/23.91 24.05/23.91 DP problem for innermost termination. 24.05/23.91 P = 24.05/23.91 f7#(x1, x2, x3, x4, x5, x6, x7, x8, x9) -> f1#(x1, x2, x3, x4, x5, x6, x7, x8, x9) 24.05/23.91 f6#(I0, I1, I2, I3, I4, I5, I6, I7, I8) -> f2#(I0, I1, I2, I3, I4, I5, I6, I7, I8) 24.05/23.91 f5#(I9, I10, I11, I12, I13, I14, I15, I16, I17) -> f6#(I9, I10, I11, I12, rnd5, rnd6, rnd7, I16, I17) [rnd6 = rnd6 /\ rnd7 = rnd7 /\ y1 = I11 /\ rnd5 = rnd5] 24.05/23.91 f4#(I18, I19, I20, I21, I22, I23, I24, I25, I26) -> f5#(I18, I19, I20, I21, I22, I23, I24, I25, I26) [I19 = I19] 24.05/23.91 f2#(I27, I28, I29, I30, I31, I32, I33, I34, I35) -> f4#(I27, I28, I29, I30, I31, I29, I30, I34, I35) 24.05/23.91 f1#(I48, I49, I50, I51, I52, I53, I54, I55, I56) -> f2#(I48, I49, I50, I51, I52, I53, I54, rnd8, rnd9) [rnd8 = rnd8 /\ rnd9 = rnd9] 24.05/23.91 R = 24.05/23.91 f7(x1, x2, x3, x4, x5, x6, x7, x8, x9) -> f1(x1, x2, x3, x4, x5, x6, x7, x8, x9) 24.05/23.91 f6(I0, I1, I2, I3, I4, I5, I6, I7, I8) -> f2(I0, I1, I2, I3, I4, I5, I6, I7, I8) 24.05/23.91 f5(I9, I10, I11, I12, I13, I14, I15, I16, I17) -> f6(I9, I10, I11, I12, rnd5, rnd6, rnd7, I16, I17) [rnd6 = rnd6 /\ rnd7 = rnd7 /\ y1 = I11 /\ rnd5 = rnd5] 24.05/23.91 f4(I18, I19, I20, I21, I22, I23, I24, I25, I26) -> f5(I18, I19, I20, I21, I22, I23, I24, I25, I26) [I19 = I19] 24.05/23.91 f2(I27, I28, I29, I30, I31, I32, I33, I34, I35) -> f4(I27, I28, I29, I30, I31, I29, I30, I34, I35) 24.05/23.91 f2(I36, I37, I38, I39, I40, I41, I42, I43, I44) -> f3(rnd1, I37, I38, I39, I40, I45, I46, I43, I44) [I47 = I38 /\ y2 = I39 /\ I47 <= y2 /\ y2 <= I47 /\ I45 = I45 /\ I46 = I46 /\ rnd1 = rnd1] 24.05/23.91 f1(I48, I49, I50, I51, I52, I53, I54, I55, I56) -> f2(I48, I49, I50, I51, I52, I53, I54, rnd8, rnd9) [rnd8 = rnd8 /\ rnd9 = rnd9] 24.05/23.91 24.05/23.91 The dependency graph for this problem is: 24.05/23.91 0 -> 5 24.05/23.91 1 -> 4 24.05/23.91 2 -> 1 24.05/23.91 3 -> 2 24.05/23.91 4 -> 3 24.05/23.91 5 -> 4 24.05/23.91 Where: 24.05/23.91 0) f7#(x1, x2, x3, x4, x5, x6, x7, x8, x9) -> f1#(x1, x2, x3, x4, x5, x6, x7, x8, x9) 24.05/23.91 1) f6#(I0, I1, I2, I3, I4, I5, I6, I7, I8) -> f2#(I0, I1, I2, I3, I4, I5, I6, I7, I8) 24.05/23.91 2) f5#(I9, I10, I11, I12, I13, I14, I15, I16, I17) -> f6#(I9, I10, I11, I12, rnd5, rnd6, rnd7, I16, I17) [rnd6 = rnd6 /\ rnd7 = rnd7 /\ y1 = I11 /\ rnd5 = rnd5] 24.05/23.91 3) f4#(I18, I19, I20, I21, I22, I23, I24, I25, I26) -> f5#(I18, I19, I20, I21, I22, I23, I24, I25, I26) [I19 = I19] 24.05/23.91 4) f2#(I27, I28, I29, I30, I31, I32, I33, I34, I35) -> f4#(I27, I28, I29, I30, I31, I29, I30, I34, I35) 24.05/23.91 5) f1#(I48, I49, I50, I51, I52, I53, I54, I55, I56) -> f2#(I48, I49, I50, I51, I52, I53, I54, rnd8, rnd9) [rnd8 = rnd8 /\ rnd9 = rnd9] 24.05/23.91 24.05/23.91 We have the following SCCs. 24.05/23.91 { 1, 2, 3, 4 } 24.05/23.91 24.05/23.91 DP problem for innermost termination. 24.05/23.91 P = 24.05/23.91 f6#(I0, I1, I2, I3, I4, I5, I6, I7, I8) -> f2#(I0, I1, I2, I3, I4, I5, I6, I7, I8) 24.05/23.91 f5#(I9, I10, I11, I12, I13, I14, I15, I16, I17) -> f6#(I9, I10, I11, I12, rnd5, rnd6, rnd7, I16, I17) [rnd6 = rnd6 /\ rnd7 = rnd7 /\ y1 = I11 /\ rnd5 = rnd5] 24.05/23.91 f4#(I18, I19, I20, I21, I22, I23, I24, I25, I26) -> f5#(I18, I19, I20, I21, I22, I23, I24, I25, I26) [I19 = I19] 24.05/23.91 f2#(I27, I28, I29, I30, I31, I32, I33, I34, I35) -> f4#(I27, I28, I29, I30, I31, I29, I30, I34, I35) 24.05/23.91 R = 24.05/23.91 f7(x1, x2, x3, x4, x5, x6, x7, x8, x9) -> f1(x1, x2, x3, x4, x5, x6, x7, x8, x9) 24.05/23.91 f6(I0, I1, I2, I3, I4, I5, I6, I7, I8) -> f2(I0, I1, I2, I3, I4, I5, I6, I7, I8) 24.05/23.91 f5(I9, I10, I11, I12, I13, I14, I15, I16, I17) -> f6(I9, I10, I11, I12, rnd5, rnd6, rnd7, I16, I17) [rnd6 = rnd6 /\ rnd7 = rnd7 /\ y1 = I11 /\ rnd5 = rnd5] 24.05/23.91 f4(I18, I19, I20, I21, I22, I23, I24, I25, I26) -> f5(I18, I19, I20, I21, I22, I23, I24, I25, I26) [I19 = I19] 24.05/23.91 f2(I27, I28, I29, I30, I31, I32, I33, I34, I35) -> f4(I27, I28, I29, I30, I31, I29, I30, I34, I35) 24.05/23.91 f2(I36, I37, I38, I39, I40, I41, I42, I43, I44) -> f3(rnd1, I37, I38, I39, I40, I45, I46, I43, I44) [I47 = I38 /\ y2 = I39 /\ I47 <= y2 /\ y2 <= I47 /\ I45 = I45 /\ I46 = I46 /\ rnd1 = rnd1] 24.05/23.91 f1(I48, I49, I50, I51, I52, I53, I54, I55, I56) -> f2(I48, I49, I50, I51, I52, I53, I54, rnd8, rnd9) [rnd8 = rnd8 /\ rnd9 = rnd9] 24.05/23.91 24.05/26.89 EOF