8.29/8.23 MAYBE 8.29/8.23 8.29/8.23 DP problem for innermost termination. 8.29/8.23 P = 8.29/8.23 f7#(x1, x2, x3, x4, x5, x6, x7) -> f1#(x1, x2, x3, x4, x5, x6, x7) 8.29/8.23 f2#(I7, I8, I9, I10, I11, I12, I13) -> f3#(I7, I8, I9, I10, I11, I12, I13) [0 <= -1 - I12] 8.29/8.23 f2#(I14, I15, I16, I17, I18, I19, I20) -> f4#(I21, I15, rnd3, I17, 0, I19, I20) [I21 = rnd3 /\ rnd3 = 0 /\ -1 * I19 <= 0] 8.29/8.23 f5#(I22, I23, I24, I25, I26, I27, I28) -> f3#(I22, I23, I24, I25, I26, I27, I28) 8.29/8.23 f3#(I29, I30, I31, I32, I33, I34, I35) -> f5#(I29, I30, I31, I32, I33, I34, I34 + I35) [0 <= I35] 8.29/8.23 f3#(I36, I37, I38, I39, I40, I41, I42) -> f4#(I43, I37, I44, I39, 0, I41, I42) [I43 = I44 /\ I44 = 0 /\ 1 + I42 <= 0] 8.29/8.23 f1#(I45, I46, I47, I48, I49, I50, I51) -> f2#(I45, I46, I47, I48, I49, I50, I51) 8.29/8.23 R = 8.29/8.23 f7(x1, x2, x3, x4, x5, x6, x7) -> f1(x1, x2, x3, x4, x5, x6, x7) 8.29/8.23 f4(I0, I1, I2, I3, I4, I5, I6) -> f6(rnd1, rnd2, I2, 0, I4, I5, I6) [rnd1 = rnd2 /\ rnd2 = 0] 8.29/8.23 f2(I7, I8, I9, I10, I11, I12, I13) -> f3(I7, I8, I9, I10, I11, I12, I13) [0 <= -1 - I12] 8.29/8.23 f2(I14, I15, I16, I17, I18, I19, I20) -> f4(I21, I15, rnd3, I17, 0, I19, I20) [I21 = rnd3 /\ rnd3 = 0 /\ -1 * I19 <= 0] 8.29/8.23 f5(I22, I23, I24, I25, I26, I27, I28) -> f3(I22, I23, I24, I25, I26, I27, I28) 8.29/8.23 f3(I29, I30, I31, I32, I33, I34, I35) -> f5(I29, I30, I31, I32, I33, I34, I34 + I35) [0 <= I35] 8.29/8.23 f3(I36, I37, I38, I39, I40, I41, I42) -> f4(I43, I37, I44, I39, 0, I41, I42) [I43 = I44 /\ I44 = 0 /\ 1 + I42 <= 0] 8.29/8.23 f1(I45, I46, I47, I48, I49, I50, I51) -> f2(I45, I46, I47, I48, I49, I50, I51) 8.29/8.23 8.29/8.23 The dependency graph for this problem is: 8.29/8.23 0 -> 6 8.29/8.23 1 -> 4, 5 8.29/8.23 2 -> 8.29/8.23 3 -> 4, 5 8.29/8.23 4 -> 3 8.29/8.23 5 -> 8.29/8.23 6 -> 1, 2 8.29/8.23 Where: 8.29/8.23 0) f7#(x1, x2, x3, x4, x5, x6, x7) -> f1#(x1, x2, x3, x4, x5, x6, x7) 8.29/8.23 1) f2#(I7, I8, I9, I10, I11, I12, I13) -> f3#(I7, I8, I9, I10, I11, I12, I13) [0 <= -1 - I12] 8.29/8.23 2) f2#(I14, I15, I16, I17, I18, I19, I20) -> f4#(I21, I15, rnd3, I17, 0, I19, I20) [I21 = rnd3 /\ rnd3 = 0 /\ -1 * I19 <= 0] 8.29/8.23 3) f5#(I22, I23, I24, I25, I26, I27, I28) -> f3#(I22, I23, I24, I25, I26, I27, I28) 8.29/8.23 4) f3#(I29, I30, I31, I32, I33, I34, I35) -> f5#(I29, I30, I31, I32, I33, I34, I34 + I35) [0 <= I35] 8.29/8.23 5) f3#(I36, I37, I38, I39, I40, I41, I42) -> f4#(I43, I37, I44, I39, 0, I41, I42) [I43 = I44 /\ I44 = 0 /\ 1 + I42 <= 0] 8.29/8.23 6) f1#(I45, I46, I47, I48, I49, I50, I51) -> f2#(I45, I46, I47, I48, I49, I50, I51) 8.29/8.23 8.29/8.23 We have the following SCCs. 8.29/8.23 { 3, 4 } 8.29/8.23 8.29/8.23 DP problem for innermost termination. 8.29/8.23 P = 8.29/8.23 f5#(I22, I23, I24, I25, I26, I27, I28) -> f3#(I22, I23, I24, I25, I26, I27, I28) 8.29/8.23 f3#(I29, I30, I31, I32, I33, I34, I35) -> f5#(I29, I30, I31, I32, I33, I34, I34 + I35) [0 <= I35] 8.29/8.23 R = 8.29/8.23 f7(x1, x2, x3, x4, x5, x6, x7) -> f1(x1, x2, x3, x4, x5, x6, x7) 8.29/8.23 f4(I0, I1, I2, I3, I4, I5, I6) -> f6(rnd1, rnd2, I2, 0, I4, I5, I6) [rnd1 = rnd2 /\ rnd2 = 0] 8.29/8.23 f2(I7, I8, I9, I10, I11, I12, I13) -> f3(I7, I8, I9, I10, I11, I12, I13) [0 <= -1 - I12] 8.29/8.23 f2(I14, I15, I16, I17, I18, I19, I20) -> f4(I21, I15, rnd3, I17, 0, I19, I20) [I21 = rnd3 /\ rnd3 = 0 /\ -1 * I19 <= 0] 8.29/8.23 f5(I22, I23, I24, I25, I26, I27, I28) -> f3(I22, I23, I24, I25, I26, I27, I28) 8.29/8.23 f3(I29, I30, I31, I32, I33, I34, I35) -> f5(I29, I30, I31, I32, I33, I34, I34 + I35) [0 <= I35] 8.29/8.23 f3(I36, I37, I38, I39, I40, I41, I42) -> f4(I43, I37, I44, I39, 0, I41, I42) [I43 = I44 /\ I44 = 0 /\ 1 + I42 <= 0] 8.29/8.23 f1(I45, I46, I47, I48, I49, I50, I51) -> f2(I45, I46, I47, I48, I49, I50, I51) 8.29/8.23 8.29/11.21 EOF