10.79/10.68 MAYBE 10.79/10.68 10.79/10.68 DP problem for innermost termination. 10.79/10.68 P = 10.79/10.68 f6#(x1, x2, x3, x4, x5) -> f4#(x1, x2, x3, x4, x5) 10.79/10.68 f5#(I0, I1, I2, I3, I4) -> f3#(I0, I1, I2, I3, I4) 10.79/10.68 f3#(I5, I6, I7, I8, I9) -> f5#(I5, I6, I7, -1 + I8, I9) [0 <= I7 - I9] 10.79/10.68 f3#(I10, I11, I12, I13, I14) -> f1#(I10, I11, I12, -1 + I13, I14) [1 + I12 - I14 <= 0] 10.79/10.68 f4#(I15, I16, I17, I18, I19) -> f1#(I15, I16, I17, I18, I19) 10.79/10.68 f1#(I20, I21, I22, I23, I24) -> f3#(I20, I21, I22, I23, I24) [0 <= I21 - I23] 10.79/10.68 R = 10.79/10.68 f6(x1, x2, x3, x4, x5) -> f4(x1, x2, x3, x4, x5) 10.79/10.68 f5(I0, I1, I2, I3, I4) -> f3(I0, I1, I2, I3, I4) 10.79/10.68 f3(I5, I6, I7, I8, I9) -> f5(I5, I6, I7, -1 + I8, I9) [0 <= I7 - I9] 10.79/10.68 f3(I10, I11, I12, I13, I14) -> f1(I10, I11, I12, -1 + I13, I14) [1 + I12 - I14 <= 0] 10.79/10.68 f4(I15, I16, I17, I18, I19) -> f1(I15, I16, I17, I18, I19) 10.79/10.68 f1(I20, I21, I22, I23, I24) -> f3(I20, I21, I22, I23, I24) [0 <= I21 - I23] 10.79/10.68 f1(I25, I26, I27, I28, I29) -> f2(rnd1, I26, I27, I28, I29) [rnd1 = rnd1 /\ 1 + I26 - I28 <= 0] 10.79/10.68 10.79/10.68 The dependency graph for this problem is: 10.79/10.68 0 -> 4 10.79/10.68 1 -> 2, 3 10.79/10.68 2 -> 1 10.79/10.68 3 -> 5 10.79/10.68 4 -> 5 10.79/10.68 5 -> 2, 3 10.79/10.68 Where: 10.79/10.68 0) f6#(x1, x2, x3, x4, x5) -> f4#(x1, x2, x3, x4, x5) 10.79/10.68 1) f5#(I0, I1, I2, I3, I4) -> f3#(I0, I1, I2, I3, I4) 10.79/10.68 2) f3#(I5, I6, I7, I8, I9) -> f5#(I5, I6, I7, -1 + I8, I9) [0 <= I7 - I9] 10.79/10.68 3) f3#(I10, I11, I12, I13, I14) -> f1#(I10, I11, I12, -1 + I13, I14) [1 + I12 - I14 <= 0] 10.79/10.68 4) f4#(I15, I16, I17, I18, I19) -> f1#(I15, I16, I17, I18, I19) 10.79/10.68 5) f1#(I20, I21, I22, I23, I24) -> f3#(I20, I21, I22, I23, I24) [0 <= I21 - I23] 10.79/10.68 10.79/10.68 We have the following SCCs. 10.79/10.68 { 1, 2, 3, 5 } 10.79/10.68 10.79/10.68 DP problem for innermost termination. 10.79/10.68 P = 10.79/10.68 f5#(I0, I1, I2, I3, I4) -> f3#(I0, I1, I2, I3, I4) 10.79/10.68 f3#(I5, I6, I7, I8, I9) -> f5#(I5, I6, I7, -1 + I8, I9) [0 <= I7 - I9] 10.79/10.68 f3#(I10, I11, I12, I13, I14) -> f1#(I10, I11, I12, -1 + I13, I14) [1 + I12 - I14 <= 0] 10.79/10.68 f1#(I20, I21, I22, I23, I24) -> f3#(I20, I21, I22, I23, I24) [0 <= I21 - I23] 10.79/10.68 R = 10.79/10.68 f6(x1, x2, x3, x4, x5) -> f4(x1, x2, x3, x4, x5) 10.79/10.68 f5(I0, I1, I2, I3, I4) -> f3(I0, I1, I2, I3, I4) 10.79/10.68 f3(I5, I6, I7, I8, I9) -> f5(I5, I6, I7, -1 + I8, I9) [0 <= I7 - I9] 10.79/10.68 f3(I10, I11, I12, I13, I14) -> f1(I10, I11, I12, -1 + I13, I14) [1 + I12 - I14 <= 0] 10.79/10.68 f4(I15, I16, I17, I18, I19) -> f1(I15, I16, I17, I18, I19) 10.79/10.68 f1(I20, I21, I22, I23, I24) -> f3(I20, I21, I22, I23, I24) [0 <= I21 - I23] 10.79/10.68 f1(I25, I26, I27, I28, I29) -> f2(rnd1, I26, I27, I28, I29) [rnd1 = rnd1 /\ 1 + I26 - I28 <= 0] 10.79/10.68 10.79/13.66 EOF