0.92/0.98 MAYBE 0.92/0.98 0.92/0.98 DP problem for innermost termination. 0.92/0.98 P = 0.92/0.98 init#(x1, x2) -> f1#(rnd1, rnd2) 0.92/0.98 f2#(I0, I1) -> f2#(I1, I0) [1 <= I0 - 1 /\ I1 <= I0 - 1 /\ 0 <= I1 - 1] 0.92/0.98 f2#(I2, I3) -> f2#(I3, I3) [1 <= I3 - 1 /\ 0 <= I2 - 1 /\ I2 <= I3 - 1] 0.92/0.98 f2#(I4, I5) -> f2#(I4, I4 - 1) [I4 = I5 /\ I4 - 1 <= I4 - 1 /\ 0 <= I4 - 1] 0.92/0.98 f1#(I6, I7) -> f2#(I7 + 5, I7) [0 <= I6 - 1 /\ -1 <= I7 - 1 /\ I7 <= I7 + 5 - 1] 0.92/0.98 R = 0.92/0.98 init(x1, x2) -> f1(rnd1, rnd2) 0.92/0.98 f2(I0, I1) -> f2(I1, I0) [1 <= I0 - 1 /\ I1 <= I0 - 1 /\ 0 <= I1 - 1] 0.92/0.98 f2(I2, I3) -> f2(I3, I3) [1 <= I3 - 1 /\ 0 <= I2 - 1 /\ I2 <= I3 - 1] 0.92/0.98 f2(I4, I5) -> f2(I4, I4 - 1) [I4 = I5 /\ I4 - 1 <= I4 - 1 /\ 0 <= I4 - 1] 0.92/0.98 f1(I6, I7) -> f2(I7 + 5, I7) [0 <= I6 - 1 /\ -1 <= I7 - 1 /\ I7 <= I7 + 5 - 1] 0.92/0.98 0.92/0.98 The dependency graph for this problem is: 0.92/0.98 0 -> 4 0.92/0.98 1 -> 2 0.92/0.98 2 -> 3 0.92/0.98 3 -> 1 0.92/0.98 4 -> 1 0.92/0.98 Where: 0.92/0.98 0) init#(x1, x2) -> f1#(rnd1, rnd2) 0.92/0.98 1) f2#(I0, I1) -> f2#(I1, I0) [1 <= I0 - 1 /\ I1 <= I0 - 1 /\ 0 <= I1 - 1] 0.92/0.98 2) f2#(I2, I3) -> f2#(I3, I3) [1 <= I3 - 1 /\ 0 <= I2 - 1 /\ I2 <= I3 - 1] 0.92/0.98 3) f2#(I4, I5) -> f2#(I4, I4 - 1) [I4 = I5 /\ I4 - 1 <= I4 - 1 /\ 0 <= I4 - 1] 0.92/0.98 4) f1#(I6, I7) -> f2#(I7 + 5, I7) [0 <= I6 - 1 /\ -1 <= I7 - 1 /\ I7 <= I7 + 5 - 1] 0.92/0.98 0.92/0.98 We have the following SCCs. 0.92/0.98 { 1, 2, 3 } 0.92/0.98 0.92/0.98 DP problem for innermost termination. 0.92/0.98 P = 0.92/0.98 f2#(I0, I1) -> f2#(I1, I0) [1 <= I0 - 1 /\ I1 <= I0 - 1 /\ 0 <= I1 - 1] 0.92/0.98 f2#(I2, I3) -> f2#(I3, I3) [1 <= I3 - 1 /\ 0 <= I2 - 1 /\ I2 <= I3 - 1] 0.92/0.98 f2#(I4, I5) -> f2#(I4, I4 - 1) [I4 = I5 /\ I4 - 1 <= I4 - 1 /\ 0 <= I4 - 1] 0.92/0.98 R = 0.92/0.98 init(x1, x2) -> f1(rnd1, rnd2) 0.92/0.98 f2(I0, I1) -> f2(I1, I0) [1 <= I0 - 1 /\ I1 <= I0 - 1 /\ 0 <= I1 - 1] 0.92/0.98 f2(I2, I3) -> f2(I3, I3) [1 <= I3 - 1 /\ 0 <= I2 - 1 /\ I2 <= I3 - 1] 0.92/0.98 f2(I4, I5) -> f2(I4, I4 - 1) [I4 = I5 /\ I4 - 1 <= I4 - 1 /\ 0 <= I4 - 1] 0.92/0.98 f1(I6, I7) -> f2(I7 + 5, I7) [0 <= I6 - 1 /\ -1 <= I7 - 1 /\ I7 <= I7 + 5 - 1] 0.92/0.98 0.92/3.96 EOF