0.00/0.45 MAYBE 0.00/0.45 0.00/0.45 DP problem for innermost termination. 0.00/0.45 P = 0.00/0.45 init#(x1, x2) -> f1#(rnd1, rnd2) 0.00/0.45 f3#(I0, I1) -> f3#(I0 + 1, I2) [I0 <= I0 + 1 - 1 /\ 0 <= I0 - 1] 0.00/0.45 f2#(I3, I4) -> f2#(1, I5) [0 = I3] 0.00/0.45 f2#(I6, I7) -> f3#(I6, I8) [I6 <= 9] 0.00/0.45 f1#(I9, I10) -> f2#(I10, I11) [-1 <= I10 - 1 /\ 0 <= I9 - 1] 0.00/0.45 R = 0.00/0.45 init(x1, x2) -> f1(rnd1, rnd2) 0.00/0.45 f3(I0, I1) -> f3(I0 + 1, I2) [I0 <= I0 + 1 - 1 /\ 0 <= I0 - 1] 0.00/0.45 f2(I3, I4) -> f2(1, I5) [0 = I3] 0.00/0.45 f2(I6, I7) -> f3(I6, I8) [I6 <= 9] 0.00/0.45 f1(I9, I10) -> f2(I10, I11) [-1 <= I10 - 1 /\ 0 <= I9 - 1] 0.00/0.45 0.00/0.45 The dependency graph for this problem is: 0.00/0.45 0 -> 4 0.00/0.45 1 -> 1 0.00/0.45 2 -> 3 0.00/0.45 3 -> 1 0.00/0.45 4 -> 2, 3 0.00/0.45 Where: 0.00/0.45 0) init#(x1, x2) -> f1#(rnd1, rnd2) 0.00/0.45 1) f3#(I0, I1) -> f3#(I0 + 1, I2) [I0 <= I0 + 1 - 1 /\ 0 <= I0 - 1] 0.00/0.45 2) f2#(I3, I4) -> f2#(1, I5) [0 = I3] 0.00/0.45 3) f2#(I6, I7) -> f3#(I6, I8) [I6 <= 9] 0.00/0.45 4) f1#(I9, I10) -> f2#(I10, I11) [-1 <= I10 - 1 /\ 0 <= I9 - 1] 0.00/0.45 0.00/0.45 We have the following SCCs. 0.00/0.45 { 1 } 0.00/0.45 0.00/0.45 DP problem for innermost termination. 0.00/0.45 P = 0.00/0.45 f3#(I0, I1) -> f3#(I0 + 1, I2) [I0 <= I0 + 1 - 1 /\ 0 <= I0 - 1] 0.00/0.45 R = 0.00/0.45 init(x1, x2) -> f1(rnd1, rnd2) 0.00/0.45 f3(I0, I1) -> f3(I0 + 1, I2) [I0 <= I0 + 1 - 1 /\ 0 <= I0 - 1] 0.00/0.45 f2(I3, I4) -> f2(1, I5) [0 = I3] 0.00/0.45 f2(I6, I7) -> f3(I6, I8) [I6 <= 9] 0.00/0.45 f1(I9, I10) -> f2(I10, I11) [-1 <= I10 - 1 /\ 0 <= I9 - 1] 0.00/0.45 0.00/3.43 EOF