3.61/3.90 MAYBE 3.61/3.90 3.61/3.90 DP problem for innermost termination. 3.61/3.90 P = 3.61/3.90 f10#(x1, x2, x3, x4, x5) -> f9#(x1, x2, x3, x4, x5) 3.61/3.90 f9#(I0, I1, I2, I3, I4) -> f4#(0, 0, I2, rnd4, I4) [rnd4 = rnd4] 3.61/3.90 f5#(I5, I6, I7, I8, I9) -> f4#(I5, 0, I7, I10, I9) [I9 <= 0 /\ y1 = 1 /\ I10 = I10] 3.61/3.90 f5#(I11, I12, I13, I14, I15) -> f2#(I11, I12, I13, I14, -1 + I15) [1 <= I15] 3.61/3.90 f8#(I16, I17, I18, I19, I20) -> f3#(I16, I17, I18, I19, I20) 3.61/3.90 f3#(I21, I22, I23, I24, I25) -> f8#(I21, I22, I23, I24, I25) 3.61/3.90 f2#(I31, I32, I33, I34, I35) -> f5#(I31, I32, I33, I34, I35) 3.61/3.90 f4#(I36, I37, I38, I39, I40) -> f1#(I36, I37, I38, I39, I40) 3.61/3.90 f1#(I41, I42, I43, I44, I45) -> f3#(I41, I42, I43, I44, I45) [1 <= I44] 3.61/3.90 f1#(I46, I47, I48, I49, I50) -> f2#(0, I47, rnd3, I49, rnd5) [I49 <= 0 /\ I51 = 1 /\ rnd3 = rnd3 /\ rnd5 = rnd3] 3.61/3.90 R = 3.61/3.90 f10(x1, x2, x3, x4, x5) -> f9(x1, x2, x3, x4, x5) 3.61/3.90 f9(I0, I1, I2, I3, I4) -> f4(0, 0, I2, rnd4, I4) [rnd4 = rnd4] 3.61/3.90 f5(I5, I6, I7, I8, I9) -> f4(I5, 0, I7, I10, I9) [I9 <= 0 /\ y1 = 1 /\ I10 = I10] 3.61/3.90 f5(I11, I12, I13, I14, I15) -> f2(I11, I12, I13, I14, -1 + I15) [1 <= I15] 3.61/3.90 f8(I16, I17, I18, I19, I20) -> f3(I16, I17, I18, I19, I20) 3.61/3.90 f3(I21, I22, I23, I24, I25) -> f8(I21, I22, I23, I24, I25) 3.61/3.90 f6(I26, I27, I28, I29, I30) -> f7(I26, I27, I28, I29, I30) 3.61/3.90 f2(I31, I32, I33, I34, I35) -> f5(I31, I32, I33, I34, I35) 3.61/3.90 f4(I36, I37, I38, I39, I40) -> f1(I36, I37, I38, I39, I40) 3.61/3.90 f1(I41, I42, I43, I44, I45) -> f3(I41, I42, I43, I44, I45) [1 <= I44] 3.61/3.90 f1(I46, I47, I48, I49, I50) -> f2(0, I47, rnd3, I49, rnd5) [I49 <= 0 /\ I51 = 1 /\ rnd3 = rnd3 /\ rnd5 = rnd3] 3.61/3.90 3.61/3.90 The dependency graph for this problem is: 3.61/3.90 0 -> 1 3.61/3.90 1 -> 7 3.61/3.90 2 -> 7 3.61/3.90 3 -> 6 3.61/3.90 4 -> 5 3.61/3.90 5 -> 4 3.61/3.90 6 -> 2, 3 3.61/3.90 7 -> 8, 9 3.61/3.90 8 -> 5 3.61/3.90 9 -> 6 3.61/3.90 Where: 3.61/3.90 0) f10#(x1, x2, x3, x4, x5) -> f9#(x1, x2, x3, x4, x5) 3.61/3.90 1) f9#(I0, I1, I2, I3, I4) -> f4#(0, 0, I2, rnd4, I4) [rnd4 = rnd4] 3.61/3.90 2) f5#(I5, I6, I7, I8, I9) -> f4#(I5, 0, I7, I10, I9) [I9 <= 0 /\ y1 = 1 /\ I10 = I10] 3.61/3.90 3) f5#(I11, I12, I13, I14, I15) -> f2#(I11, I12, I13, I14, -1 + I15) [1 <= I15] 3.61/3.90 4) f8#(I16, I17, I18, I19, I20) -> f3#(I16, I17, I18, I19, I20) 3.61/3.90 5) f3#(I21, I22, I23, I24, I25) -> f8#(I21, I22, I23, I24, I25) 3.61/3.90 6) f2#(I31, I32, I33, I34, I35) -> f5#(I31, I32, I33, I34, I35) 3.61/3.90 7) f4#(I36, I37, I38, I39, I40) -> f1#(I36, I37, I38, I39, I40) 3.61/3.90 8) f1#(I41, I42, I43, I44, I45) -> f3#(I41, I42, I43, I44, I45) [1 <= I44] 3.61/3.90 9) f1#(I46, I47, I48, I49, I50) -> f2#(0, I47, rnd3, I49, rnd5) [I49 <= 0 /\ I51 = 1 /\ rnd3 = rnd3 /\ rnd5 = rnd3] 3.61/3.90 3.61/3.90 We have the following SCCs. 3.61/3.90 { 2, 3, 6, 7, 9 } 3.61/3.90 { 4, 5 } 3.61/3.90 3.61/3.90 DP problem for innermost termination. 3.61/3.90 P = 3.61/3.90 f8#(I16, I17, I18, I19, I20) -> f3#(I16, I17, I18, I19, I20) 3.61/3.90 f3#(I21, I22, I23, I24, I25) -> f8#(I21, I22, I23, I24, I25) 3.61/3.90 R = 3.61/3.90 f10(x1, x2, x3, x4, x5) -> f9(x1, x2, x3, x4, x5) 3.61/3.90 f9(I0, I1, I2, I3, I4) -> f4(0, 0, I2, rnd4, I4) [rnd4 = rnd4] 3.61/3.90 f5(I5, I6, I7, I8, I9) -> f4(I5, 0, I7, I10, I9) [I9 <= 0 /\ y1 = 1 /\ I10 = I10] 3.61/3.90 f5(I11, I12, I13, I14, I15) -> f2(I11, I12, I13, I14, -1 + I15) [1 <= I15] 3.61/3.90 f8(I16, I17, I18, I19, I20) -> f3(I16, I17, I18, I19, I20) 3.61/3.90 f3(I21, I22, I23, I24, I25) -> f8(I21, I22, I23, I24, I25) 3.61/3.90 f6(I26, I27, I28, I29, I30) -> f7(I26, I27, I28, I29, I30) 3.61/3.90 f2(I31, I32, I33, I34, I35) -> f5(I31, I32, I33, I34, I35) 3.61/3.90 f4(I36, I37, I38, I39, I40) -> f1(I36, I37, I38, I39, I40) 3.61/3.90 f1(I41, I42, I43, I44, I45) -> f3(I41, I42, I43, I44, I45) [1 <= I44] 3.61/3.90 f1(I46, I47, I48, I49, I50) -> f2(0, I47, rnd3, I49, rnd5) [I49 <= 0 /\ I51 = 1 /\ rnd3 = rnd3 /\ rnd5 = rnd3] 3.61/3.90 3.61/6.88 EOF