0.62/0.65 MAYBE 0.62/0.65 0.62/0.65 DP problem for innermost termination. 0.62/0.65 P = 0.62/0.65 init#(x1, x2) -> f1#(rnd1, rnd2) 0.62/0.65 f2#(I0, I1) -> f2#(29, I2) [25 = I0] 0.62/0.65 f2#(I3, I4) -> f2#(20, I5) [30 <= I3 - 1] 0.62/0.65 f2#(I6, I7) -> f2#(I6 - 1, I8) [I6 <= 30 /\ 25 <= I6 - 1] 0.62/0.65 f2#(I9, I10) -> f2#(I9 - 1, I11) [10 <= I9 - 1 /\ I9 <= 24 /\ I9 <= 30] 0.62/0.65 f1#(I12, I13) -> f2#(I13 + 20, I14) [0 <= I12 - 1 /\ -1 <= I13 - 1 /\ I13 <= I13 + 20 - 1] 0.62/0.65 R = 0.62/0.65 init(x1, x2) -> f1(rnd1, rnd2) 0.62/0.65 f2(I0, I1) -> f2(29, I2) [25 = I0] 0.62/0.65 f2(I3, I4) -> f2(20, I5) [30 <= I3 - 1] 0.62/0.65 f2(I6, I7) -> f2(I6 - 1, I8) [I6 <= 30 /\ 25 <= I6 - 1] 0.62/0.65 f2(I9, I10) -> f2(I9 - 1, I11) [10 <= I9 - 1 /\ I9 <= 24 /\ I9 <= 30] 0.62/0.65 f1(I12, I13) -> f2(I13 + 20, I14) [0 <= I12 - 1 /\ -1 <= I13 - 1 /\ I13 <= I13 + 20 - 1] 0.62/0.65 0.62/0.65 The dependency graph for this problem is: 0.62/0.65 0 -> 5 0.62/0.65 1 -> 3 0.62/0.65 2 -> 4 0.62/0.65 3 -> 1, 3 0.62/0.65 4 -> 4 0.62/0.65 5 -> 1, 2, 3, 4 0.62/0.65 Where: 0.62/0.65 0) init#(x1, x2) -> f1#(rnd1, rnd2) 0.62/0.65 1) f2#(I0, I1) -> f2#(29, I2) [25 = I0] 0.62/0.65 2) f2#(I3, I4) -> f2#(20, I5) [30 <= I3 - 1] 0.62/0.65 3) f2#(I6, I7) -> f2#(I6 - 1, I8) [I6 <= 30 /\ 25 <= I6 - 1] 0.62/0.65 4) f2#(I9, I10) -> f2#(I9 - 1, I11) [10 <= I9 - 1 /\ I9 <= 24 /\ I9 <= 30] 0.62/0.65 5) f1#(I12, I13) -> f2#(I13 + 20, I14) [0 <= I12 - 1 /\ -1 <= I13 - 1 /\ I13 <= I13 + 20 - 1] 0.62/0.65 0.62/0.65 We have the following SCCs. 0.62/0.65 { 4 } 0.62/0.65 { 1, 3 } 0.62/0.65 0.62/0.65 DP problem for innermost termination. 0.62/0.65 P = 0.62/0.65 f2#(I0, I1) -> f2#(29, I2) [25 = I0] 0.62/0.65 f2#(I6, I7) -> f2#(I6 - 1, I8) [I6 <= 30 /\ 25 <= I6 - 1] 0.62/0.65 R = 0.62/0.65 init(x1, x2) -> f1(rnd1, rnd2) 0.62/0.65 f2(I0, I1) -> f2(29, I2) [25 = I0] 0.62/0.65 f2(I3, I4) -> f2(20, I5) [30 <= I3 - 1] 0.62/0.65 f2(I6, I7) -> f2(I6 - 1, I8) [I6 <= 30 /\ 25 <= I6 - 1] 0.62/0.65 f2(I9, I10) -> f2(I9 - 1, I11) [10 <= I9 - 1 /\ I9 <= 24 /\ I9 <= 30] 0.62/0.65 f1(I12, I13) -> f2(I13 + 20, I14) [0 <= I12 - 1 /\ -1 <= I13 - 1 /\ I13 <= I13 + 20 - 1] 0.62/0.65 0.62/3.63 EOF