1.51/1.53 MAYBE 1.51/1.53 1.51/1.53 DP problem for innermost termination. 1.51/1.53 P = 1.51/1.53 f6#(x1, x2) -> f5#(x1, x2) 1.51/1.53 f5#(I0, I1) -> f2#(0, 99) 1.51/1.53 f2#(I2, I3) -> f3#(I2, I3) 1.51/1.53 f3#(I4, I5) -> f1#(I4, I5) [1 + I4 <= I5] 1.51/1.53 f1#(I8, I9) -> f2#(I8, rnd2) [rnd2 = rnd2] 1.51/1.53 f1#(I10, I11) -> f2#(rnd1, I11) [rnd1 = rnd1] 1.51/1.53 R = 1.51/1.53 f6(x1, x2) -> f5(x1, x2) 1.51/1.53 f5(I0, I1) -> f2(0, 99) 1.51/1.53 f2(I2, I3) -> f3(I2, I3) 1.51/1.53 f3(I4, I5) -> f1(I4, I5) [1 + I4 <= I5] 1.51/1.53 f3(I6, I7) -> f4(I6, I7) [I7 <= I6] 1.51/1.53 f1(I8, I9) -> f2(I8, rnd2) [rnd2 = rnd2] 1.51/1.53 f1(I10, I11) -> f2(rnd1, I11) [rnd1 = rnd1] 1.51/1.53 1.51/1.53 The dependency graph for this problem is: 1.51/1.53 0 -> 1 1.51/1.53 1 -> 2 1.51/1.53 2 -> 3 1.51/1.53 3 -> 4, 5 1.51/1.53 4 -> 2 1.51/1.53 5 -> 2 1.51/1.53 Where: 1.51/1.53 0) f6#(x1, x2) -> f5#(x1, x2) 1.51/1.53 1) f5#(I0, I1) -> f2#(0, 99) 1.51/1.53 2) f2#(I2, I3) -> f3#(I2, I3) 1.51/1.53 3) f3#(I4, I5) -> f1#(I4, I5) [1 + I4 <= I5] 1.51/1.53 4) f1#(I8, I9) -> f2#(I8, rnd2) [rnd2 = rnd2] 1.51/1.53 5) f1#(I10, I11) -> f2#(rnd1, I11) [rnd1 = rnd1] 1.51/1.53 1.51/1.53 We have the following SCCs. 1.51/1.53 { 2, 3, 4, 5 } 1.51/1.53 1.51/1.53 DP problem for innermost termination. 1.51/1.53 P = 1.51/1.53 f2#(I2, I3) -> f3#(I2, I3) 1.51/1.53 f3#(I4, I5) -> f1#(I4, I5) [1 + I4 <= I5] 1.51/1.53 f1#(I8, I9) -> f2#(I8, rnd2) [rnd2 = rnd2] 1.51/1.53 f1#(I10, I11) -> f2#(rnd1, I11) [rnd1 = rnd1] 1.51/1.53 R = 1.51/1.53 f6(x1, x2) -> f5(x1, x2) 1.51/1.53 f5(I0, I1) -> f2(0, 99) 1.51/1.53 f2(I2, I3) -> f3(I2, I3) 1.51/1.53 f3(I4, I5) -> f1(I4, I5) [1 + I4 <= I5] 1.51/1.53 f3(I6, I7) -> f4(I6, I7) [I7 <= I6] 1.51/1.53 f1(I8, I9) -> f2(I8, rnd2) [rnd2 = rnd2] 1.51/1.53 f1(I10, I11) -> f2(rnd1, I11) [rnd1 = rnd1] 1.51/1.53 1.51/4.51 EOF