0.00/0.56 MAYBE 0.00/0.56 0.00/0.56 DP problem for innermost termination. 0.00/0.56 P = 0.00/0.56 init#(x1, x2, x3, x4) -> f1#(rnd1, rnd2, rnd3, rnd4) 0.00/0.56 f2#(I0, I1, I2, I3) -> f2#(I0 + 1, I1 + 1, I2, I0 + 1 + I1 + 1) [-2 <= I1 - 1 /\ -2 <= I0 - 1 /\ I3 <= I2 - 1] 0.00/0.56 f1#(I4, I5, I6, I7) -> f2#(I8, I9, I10, I11) [I8 + I9 = I11 /\ 0 <= I4 - 1 /\ -1 <= I9 - 1 /\ -1 <= I8 - 1 /\ -1 <= I5 - 1 /\ -1 <= I10 - 1] 0.00/0.56 R = 0.00/0.56 init(x1, x2, x3, x4) -> f1(rnd1, rnd2, rnd3, rnd4) 0.00/0.56 f2(I0, I1, I2, I3) -> f2(I0 + 1, I1 + 1, I2, I0 + 1 + I1 + 1) [-2 <= I1 - 1 /\ -2 <= I0 - 1 /\ I3 <= I2 - 1] 0.00/0.56 f1(I4, I5, I6, I7) -> f2(I8, I9, I10, I11) [I8 + I9 = I11 /\ 0 <= I4 - 1 /\ -1 <= I9 - 1 /\ -1 <= I8 - 1 /\ -1 <= I5 - 1 /\ -1 <= I10 - 1] 0.00/0.56 0.00/0.56 The dependency graph for this problem is: 0.00/0.56 0 -> 2 0.00/0.56 1 -> 1 0.00/0.56 2 -> 1 0.00/0.56 Where: 0.00/0.56 0) init#(x1, x2, x3, x4) -> f1#(rnd1, rnd2, rnd3, rnd4) 0.00/0.56 1) f2#(I0, I1, I2, I3) -> f2#(I0 + 1, I1 + 1, I2, I0 + 1 + I1 + 1) [-2 <= I1 - 1 /\ -2 <= I0 - 1 /\ I3 <= I2 - 1] 0.00/0.56 2) f1#(I4, I5, I6, I7) -> f2#(I8, I9, I10, I11) [I8 + I9 = I11 /\ 0 <= I4 - 1 /\ -1 <= I9 - 1 /\ -1 <= I8 - 1 /\ -1 <= I5 - 1 /\ -1 <= I10 - 1] 0.00/0.56 0.00/0.56 We have the following SCCs. 0.00/0.56 { 1 } 0.00/0.56 0.00/0.56 DP problem for innermost termination. 0.00/0.56 P = 0.00/0.56 f2#(I0, I1, I2, I3) -> f2#(I0 + 1, I1 + 1, I2, I0 + 1 + I1 + 1) [-2 <= I1 - 1 /\ -2 <= I0 - 1 /\ I3 <= I2 - 1] 0.00/0.56 R = 0.00/0.56 init(x1, x2, x3, x4) -> f1(rnd1, rnd2, rnd3, rnd4) 0.00/0.56 f2(I0, I1, I2, I3) -> f2(I0 + 1, I1 + 1, I2, I0 + 1 + I1 + 1) [-2 <= I1 - 1 /\ -2 <= I0 - 1 /\ I3 <= I2 - 1] 0.00/0.56 f1(I4, I5, I6, I7) -> f2(I8, I9, I10, I11) [I8 + I9 = I11 /\ 0 <= I4 - 1 /\ -1 <= I9 - 1 /\ -1 <= I8 - 1 /\ -1 <= I5 - 1 /\ -1 <= I10 - 1] 0.00/0.56 0.00/3.54 EOF