5.22/5.61 MAYBE 5.22/5.61 5.22/5.61 DP problem for innermost termination. 5.22/5.61 P = 5.22/5.61 f10#(x1, x2, x3, x4, x5, x6) -> f9#(x1, x2, x3, x4, x5, x6) 5.22/5.61 f9#(I0, I1, I2, I3, I4, I5) -> f1#(0, 0, rnd3, I3, rnd5, I5) [rnd5 = rnd3 /\ rnd3 = rnd3] 5.22/5.61 f2#(I6, I7, I8, I9, I10, I11) -> f7#(I6, I7, I8, I9, I10, I11) [1 <= I10] 5.22/5.61 f2#(I12, I13, I14, I15, I16, I17) -> f3#(0, I13, I14, rnd4, I16, rnd6) [I16 <= 0 /\ y1 = 1 /\ rnd4 = rnd4 /\ rnd6 = rnd4] 5.22/5.61 f4#(I18, I19, I20, I21, I22, I23) -> f1#(I18, 0, I24, I21, I25, I23) [I23 <= 0 /\ I26 = 1 /\ I24 = I24 /\ I25 = I24] 5.22/5.61 f4#(I27, I28, I29, I30, I31, I32) -> f3#(I27, I28, I29, I30, I31, I32) [1 <= I32] 5.22/5.61 f8#(I33, I34, I35, I36, I37, I38) -> f7#(I33, I34, I35, I36, I37, I38) 5.22/5.61 f7#(I39, I40, I41, I42, I43, I44) -> f8#(I39, I40, I41, I42, I43, I44) 5.22/5.61 f3#(I51, I52, I53, I54, I55, I56) -> f4#(I51, I52, I53, I54, I55, I56) 5.22/5.61 f1#(I57, I58, I59, I60, I61, I62) -> f2#(I57, I58, I59, I60, I61, I62) 5.22/5.61 R = 5.22/5.61 f10(x1, x2, x3, x4, x5, x6) -> f9(x1, x2, x3, x4, x5, x6) 5.22/5.61 f9(I0, I1, I2, I3, I4, I5) -> f1(0, 0, rnd3, I3, rnd5, I5) [rnd5 = rnd3 /\ rnd3 = rnd3] 5.22/5.61 f2(I6, I7, I8, I9, I10, I11) -> f7(I6, I7, I8, I9, I10, I11) [1 <= I10] 5.22/5.61 f2(I12, I13, I14, I15, I16, I17) -> f3(0, I13, I14, rnd4, I16, rnd6) [I16 <= 0 /\ y1 = 1 /\ rnd4 = rnd4 /\ rnd6 = rnd4] 5.22/5.61 f4(I18, I19, I20, I21, I22, I23) -> f1(I18, 0, I24, I21, I25, I23) [I23 <= 0 /\ I26 = 1 /\ I24 = I24 /\ I25 = I24] 5.22/5.61 f4(I27, I28, I29, I30, I31, I32) -> f3(I27, I28, I29, I30, I31, I32) [1 <= I32] 5.22/5.61 f8(I33, I34, I35, I36, I37, I38) -> f7(I33, I34, I35, I36, I37, I38) 5.22/5.61 f7(I39, I40, I41, I42, I43, I44) -> f8(I39, I40, I41, I42, I43, I44) 5.22/5.61 f5(I45, I46, I47, I48, I49, I50) -> f6(I45, I46, I47, I48, I49, I50) 5.22/5.61 f3(I51, I52, I53, I54, I55, I56) -> f4(I51, I52, I53, I54, I55, I56) 5.22/5.61 f1(I57, I58, I59, I60, I61, I62) -> f2(I57, I58, I59, I60, I61, I62) 5.22/5.61 5.22/5.61 The dependency graph for this problem is: 5.22/5.61 0 -> 1 5.22/5.61 1 -> 9 5.22/5.61 2 -> 7 5.22/5.61 3 -> 8 5.22/5.61 4 -> 9 5.22/5.61 5 -> 8 5.22/5.61 6 -> 7 5.22/5.61 7 -> 6 5.22/5.61 8 -> 4, 5 5.22/5.61 9 -> 2, 3 5.22/5.61 Where: 5.22/5.61 0) f10#(x1, x2, x3, x4, x5, x6) -> f9#(x1, x2, x3, x4, x5, x6) 5.22/5.61 1) f9#(I0, I1, I2, I3, I4, I5) -> f1#(0, 0, rnd3, I3, rnd5, I5) [rnd5 = rnd3 /\ rnd3 = rnd3] 5.22/5.61 2) f2#(I6, I7, I8, I9, I10, I11) -> f7#(I6, I7, I8, I9, I10, I11) [1 <= I10] 5.22/5.61 3) f2#(I12, I13, I14, I15, I16, I17) -> f3#(0, I13, I14, rnd4, I16, rnd6) [I16 <= 0 /\ y1 = 1 /\ rnd4 = rnd4 /\ rnd6 = rnd4] 5.22/5.61 4) f4#(I18, I19, I20, I21, I22, I23) -> f1#(I18, 0, I24, I21, I25, I23) [I23 <= 0 /\ I26 = 1 /\ I24 = I24 /\ I25 = I24] 5.22/5.61 5) f4#(I27, I28, I29, I30, I31, I32) -> f3#(I27, I28, I29, I30, I31, I32) [1 <= I32] 5.22/5.61 6) f8#(I33, I34, I35, I36, I37, I38) -> f7#(I33, I34, I35, I36, I37, I38) 5.22/5.61 7) f7#(I39, I40, I41, I42, I43, I44) -> f8#(I39, I40, I41, I42, I43, I44) 5.22/5.61 8) f3#(I51, I52, I53, I54, I55, I56) -> f4#(I51, I52, I53, I54, I55, I56) 5.22/5.61 9) f1#(I57, I58, I59, I60, I61, I62) -> f2#(I57, I58, I59, I60, I61, I62) 5.22/5.61 5.22/5.61 We have the following SCCs. 5.22/5.61 { 3, 4, 5, 8, 9 } 5.22/5.61 { 6, 7 } 5.22/5.61 5.22/5.61 DP problem for innermost termination. 5.22/5.61 P = 5.22/5.61 f8#(I33, I34, I35, I36, I37, I38) -> f7#(I33, I34, I35, I36, I37, I38) 5.22/5.61 f7#(I39, I40, I41, I42, I43, I44) -> f8#(I39, I40, I41, I42, I43, I44) 5.22/5.61 R = 5.22/5.61 f10(x1, x2, x3, x4, x5, x6) -> f9(x1, x2, x3, x4, x5, x6) 5.22/5.61 f9(I0, I1, I2, I3, I4, I5) -> f1(0, 0, rnd3, I3, rnd5, I5) [rnd5 = rnd3 /\ rnd3 = rnd3] 5.22/5.61 f2(I6, I7, I8, I9, I10, I11) -> f7(I6, I7, I8, I9, I10, I11) [1 <= I10] 5.22/5.61 f2(I12, I13, I14, I15, I16, I17) -> f3(0, I13, I14, rnd4, I16, rnd6) [I16 <= 0 /\ y1 = 1 /\ rnd4 = rnd4 /\ rnd6 = rnd4] 5.22/5.61 f4(I18, I19, I20, I21, I22, I23) -> f1(I18, 0, I24, I21, I25, I23) [I23 <= 0 /\ I26 = 1 /\ I24 = I24 /\ I25 = I24] 5.22/5.61 f4(I27, I28, I29, I30, I31, I32) -> f3(I27, I28, I29, I30, I31, I32) [1 <= I32] 5.22/5.61 f8(I33, I34, I35, I36, I37, I38) -> f7(I33, I34, I35, I36, I37, I38) 5.22/5.61 f7(I39, I40, I41, I42, I43, I44) -> f8(I39, I40, I41, I42, I43, I44) 5.22/5.61 f5(I45, I46, I47, I48, I49, I50) -> f6(I45, I46, I47, I48, I49, I50) 5.22/5.61 f3(I51, I52, I53, I54, I55, I56) -> f4(I51, I52, I53, I54, I55, I56) 5.22/5.61 f1(I57, I58, I59, I60, I61, I62) -> f2(I57, I58, I59, I60, I61, I62) 5.22/5.61 5.22/8.59 EOF