3.91/4.22 MAYBE 3.91/4.22 3.91/4.22 DP problem for innermost termination. 3.91/4.22 P = 3.91/4.22 f10#(x1, x2, x3, x4, x5) -> f9#(x1, x2, x3, x4, x5) 3.91/4.22 f9#(I0, I1, I2, I3, I4) -> f1#(0, 0, rnd3, rnd4, I4) [rnd4 = rnd3 /\ rnd3 = rnd3] 3.91/4.22 f2#(I5, I6, I7, I8, I9) -> f7#(I5, I6, I7, I8, I9) [1 <= I8] 3.91/4.22 f2#(I10, I11, I12, I13, I14) -> f3#(0, I11, I15, I13, rnd5) [I13 <= 0 /\ y1 = 1 /\ I15 = I15 /\ rnd5 = I15] 3.91/4.22 f4#(I16, I17, I18, I19, I20) -> f1#(I16, 0, I21, I22, I20) [I20 <= 0 /\ I23 = 1 /\ I21 = I21 /\ I22 = I21] 3.91/4.22 f4#(I24, I25, I26, I27, I28) -> f3#(I24, I25, I26, I27, I28) [1 <= I28] 3.91/4.22 f8#(I29, I30, I31, I32, I33) -> f7#(I29, I30, I31, I32, I33) 3.91/4.22 f7#(I34, I35, I36, I37, I38) -> f8#(I34, I35, I36, I37, I38) 3.91/4.22 f3#(I44, I45, I46, I47, I48) -> f4#(I44, I45, I46, I47, I48) 3.91/4.22 f1#(I49, I50, I51, I52, I53) -> f2#(I49, I50, I51, I52, I53) 3.91/4.22 R = 3.91/4.22 f10(x1, x2, x3, x4, x5) -> f9(x1, x2, x3, x4, x5) 3.91/4.22 f9(I0, I1, I2, I3, I4) -> f1(0, 0, rnd3, rnd4, I4) [rnd4 = rnd3 /\ rnd3 = rnd3] 3.91/4.22 f2(I5, I6, I7, I8, I9) -> f7(I5, I6, I7, I8, I9) [1 <= I8] 3.91/4.22 f2(I10, I11, I12, I13, I14) -> f3(0, I11, I15, I13, rnd5) [I13 <= 0 /\ y1 = 1 /\ I15 = I15 /\ rnd5 = I15] 3.91/4.22 f4(I16, I17, I18, I19, I20) -> f1(I16, 0, I21, I22, I20) [I20 <= 0 /\ I23 = 1 /\ I21 = I21 /\ I22 = I21] 3.91/4.22 f4(I24, I25, I26, I27, I28) -> f3(I24, I25, I26, I27, I28) [1 <= I28] 3.91/4.22 f8(I29, I30, I31, I32, I33) -> f7(I29, I30, I31, I32, I33) 3.91/4.22 f7(I34, I35, I36, I37, I38) -> f8(I34, I35, I36, I37, I38) 3.91/4.22 f5(I39, I40, I41, I42, I43) -> f6(I39, I40, I41, I42, I43) 3.91/4.22 f3(I44, I45, I46, I47, I48) -> f4(I44, I45, I46, I47, I48) 3.91/4.22 f1(I49, I50, I51, I52, I53) -> f2(I49, I50, I51, I52, I53) 3.91/4.22 3.91/4.22 The dependency graph for this problem is: 3.91/4.22 0 -> 1 3.91/4.22 1 -> 9 3.91/4.22 2 -> 7 3.91/4.22 3 -> 8 3.91/4.22 4 -> 9 3.91/4.22 5 -> 8 3.91/4.22 6 -> 7 3.91/4.22 7 -> 6 3.91/4.22 8 -> 4, 5 3.91/4.22 9 -> 2, 3 3.91/4.22 Where: 3.91/4.22 0) f10#(x1, x2, x3, x4, x5) -> f9#(x1, x2, x3, x4, x5) 3.91/4.22 1) f9#(I0, I1, I2, I3, I4) -> f1#(0, 0, rnd3, rnd4, I4) [rnd4 = rnd3 /\ rnd3 = rnd3] 3.91/4.22 2) f2#(I5, I6, I7, I8, I9) -> f7#(I5, I6, I7, I8, I9) [1 <= I8] 3.91/4.22 3) f2#(I10, I11, I12, I13, I14) -> f3#(0, I11, I15, I13, rnd5) [I13 <= 0 /\ y1 = 1 /\ I15 = I15 /\ rnd5 = I15] 3.91/4.22 4) f4#(I16, I17, I18, I19, I20) -> f1#(I16, 0, I21, I22, I20) [I20 <= 0 /\ I23 = 1 /\ I21 = I21 /\ I22 = I21] 3.91/4.22 5) f4#(I24, I25, I26, I27, I28) -> f3#(I24, I25, I26, I27, I28) [1 <= I28] 3.91/4.22 6) f8#(I29, I30, I31, I32, I33) -> f7#(I29, I30, I31, I32, I33) 3.91/4.22 7) f7#(I34, I35, I36, I37, I38) -> f8#(I34, I35, I36, I37, I38) 3.91/4.22 8) f3#(I44, I45, I46, I47, I48) -> f4#(I44, I45, I46, I47, I48) 3.91/4.22 9) f1#(I49, I50, I51, I52, I53) -> f2#(I49, I50, I51, I52, I53) 3.91/4.22 3.91/4.22 We have the following SCCs. 3.91/4.22 { 3, 4, 5, 8, 9 } 3.91/4.22 { 6, 7 } 3.91/4.22 3.91/4.22 DP problem for innermost termination. 3.91/4.22 P = 3.91/4.22 f8#(I29, I30, I31, I32, I33) -> f7#(I29, I30, I31, I32, I33) 3.91/4.22 f7#(I34, I35, I36, I37, I38) -> f8#(I34, I35, I36, I37, I38) 3.91/4.22 R = 3.91/4.22 f10(x1, x2, x3, x4, x5) -> f9(x1, x2, x3, x4, x5) 3.91/4.22 f9(I0, I1, I2, I3, I4) -> f1(0, 0, rnd3, rnd4, I4) [rnd4 = rnd3 /\ rnd3 = rnd3] 3.91/4.22 f2(I5, I6, I7, I8, I9) -> f7(I5, I6, I7, I8, I9) [1 <= I8] 3.91/4.22 f2(I10, I11, I12, I13, I14) -> f3(0, I11, I15, I13, rnd5) [I13 <= 0 /\ y1 = 1 /\ I15 = I15 /\ rnd5 = I15] 3.91/4.22 f4(I16, I17, I18, I19, I20) -> f1(I16, 0, I21, I22, I20) [I20 <= 0 /\ I23 = 1 /\ I21 = I21 /\ I22 = I21] 3.91/4.22 f4(I24, I25, I26, I27, I28) -> f3(I24, I25, I26, I27, I28) [1 <= I28] 3.91/4.22 f8(I29, I30, I31, I32, I33) -> f7(I29, I30, I31, I32, I33) 3.91/4.22 f7(I34, I35, I36, I37, I38) -> f8(I34, I35, I36, I37, I38) 3.91/4.22 f5(I39, I40, I41, I42, I43) -> f6(I39, I40, I41, I42, I43) 3.91/4.22 f3(I44, I45, I46, I47, I48) -> f4(I44, I45, I46, I47, I48) 3.91/4.22 f1(I49, I50, I51, I52, I53) -> f2(I49, I50, I51, I52, I53) 3.91/4.22 3.91/7.19 EOF