0.00/0.40 MAYBE 0.00/0.40 0.00/0.40 DP problem for innermost termination. 0.00/0.40 P = 0.00/0.40 init#(x1, x2, x3) -> f2#(rnd1, rnd2, rnd3) 0.00/0.40 f2#(I0, I1, I2) -> f1#(I3, I1 + 1, I1) [0 <= I3 - 1 /\ 0 <= I0 - 1 /\ -1 <= I1 - 1 /\ I3 <= I0] 0.00/0.40 f1#(I4, I5, I6) -> f1#(I7, I5 + 1, I6) [0 <= I7 - 1 /\ 0 <= I4 - 1 /\ I7 <= I4] 0.00/0.40 R = 0.00/0.40 init(x1, x2, x3) -> f2(rnd1, rnd2, rnd3) 0.00/0.40 f2(I0, I1, I2) -> f1(I3, I1 + 1, I1) [0 <= I3 - 1 /\ 0 <= I0 - 1 /\ -1 <= I1 - 1 /\ I3 <= I0] 0.00/0.40 f1(I4, I5, I6) -> f1(I7, I5 + 1, I6) [0 <= I7 - 1 /\ 0 <= I4 - 1 /\ I7 <= I4] 0.00/0.40 0.00/0.40 The dependency graph for this problem is: 0.00/0.40 0 -> 1 0.00/0.40 1 -> 2 0.00/0.40 2 -> 2 0.00/0.40 Where: 0.00/0.40 0) init#(x1, x2, x3) -> f2#(rnd1, rnd2, rnd3) 0.00/0.40 1) f2#(I0, I1, I2) -> f1#(I3, I1 + 1, I1) [0 <= I3 - 1 /\ 0 <= I0 - 1 /\ -1 <= I1 - 1 /\ I3 <= I0] 0.00/0.40 2) f1#(I4, I5, I6) -> f1#(I7, I5 + 1, I6) [0 <= I7 - 1 /\ 0 <= I4 - 1 /\ I7 <= I4] 0.00/0.40 0.00/0.40 We have the following SCCs. 0.00/0.40 { 2 } 0.00/0.40 0.00/0.40 DP problem for innermost termination. 0.00/0.40 P = 0.00/0.40 f1#(I4, I5, I6) -> f1#(I7, I5 + 1, I6) [0 <= I7 - 1 /\ 0 <= I4 - 1 /\ I7 <= I4] 0.00/0.40 R = 0.00/0.40 init(x1, x2, x3) -> f2(rnd1, rnd2, rnd3) 0.00/0.40 f2(I0, I1, I2) -> f1(I3, I1 + 1, I1) [0 <= I3 - 1 /\ 0 <= I0 - 1 /\ -1 <= I1 - 1 /\ I3 <= I0] 0.00/0.40 f1(I4, I5, I6) -> f1(I7, I5 + 1, I6) [0 <= I7 - 1 /\ 0 <= I4 - 1 /\ I7 <= I4] 0.00/0.40 0.00/3.38 EOF