0.76/0.79 MAYBE 0.76/0.79 0.76/0.79 DP problem for innermost termination. 0.76/0.79 P = 0.76/0.79 init#(x1, x2) -> f1#(rnd1, rnd2) 0.76/0.79 f2#(I0, I1) -> f2#(I1, I0) [0 <= I0 - 1 /\ 0 <= I1 - 1 /\ I1 <= I0 - 1] 0.76/0.79 f2#(I2, I3) -> f2#(I3, I3) [I2 <= I3 - 1 /\ 0 <= I2 - 1 /\ 0 <= I3 - 1] 0.76/0.79 f2#(I4, I5) -> f2#(I4, I4 - 1) [I4 = I5 /\ 0 <= I4 - 1] 0.76/0.79 f1#(I6, I7) -> f2#(I8, I9) [0 <= I6 - 1 /\ -1 <= I9 - 1 /\ 1 <= I7 - 1 /\ -1 <= I8 - 1] 0.76/0.79 R = 0.76/0.79 init(x1, x2) -> f1(rnd1, rnd2) 0.76/0.79 f2(I0, I1) -> f2(I1, I0) [0 <= I0 - 1 /\ 0 <= I1 - 1 /\ I1 <= I0 - 1] 0.76/0.79 f2(I2, I3) -> f2(I3, I3) [I2 <= I3 - 1 /\ 0 <= I2 - 1 /\ 0 <= I3 - 1] 0.76/0.79 f2(I4, I5) -> f2(I4, I4 - 1) [I4 = I5 /\ 0 <= I4 - 1] 0.76/0.79 f1(I6, I7) -> f2(I8, I9) [0 <= I6 - 1 /\ -1 <= I9 - 1 /\ 1 <= I7 - 1 /\ -1 <= I8 - 1] 0.76/0.79 0.76/0.79 The dependency graph for this problem is: 0.76/0.79 0 -> 4 0.76/0.79 1 -> 2 0.76/0.79 2 -> 3 0.76/0.79 3 -> 1 0.76/0.79 4 -> 1, 2, 3 0.76/0.79 Where: 0.76/0.79 0) init#(x1, x2) -> f1#(rnd1, rnd2) 0.76/0.79 1) f2#(I0, I1) -> f2#(I1, I0) [0 <= I0 - 1 /\ 0 <= I1 - 1 /\ I1 <= I0 - 1] 0.76/0.79 2) f2#(I2, I3) -> f2#(I3, I3) [I2 <= I3 - 1 /\ 0 <= I2 - 1 /\ 0 <= I3 - 1] 0.76/0.79 3) f2#(I4, I5) -> f2#(I4, I4 - 1) [I4 = I5 /\ 0 <= I4 - 1] 0.76/0.79 4) f1#(I6, I7) -> f2#(I8, I9) [0 <= I6 - 1 /\ -1 <= I9 - 1 /\ 1 <= I7 - 1 /\ -1 <= I8 - 1] 0.76/0.79 0.76/0.79 We have the following SCCs. 0.76/0.79 { 1, 2, 3 } 0.76/0.79 0.76/0.79 DP problem for innermost termination. 0.76/0.79 P = 0.76/0.79 f2#(I0, I1) -> f2#(I1, I0) [0 <= I0 - 1 /\ 0 <= I1 - 1 /\ I1 <= I0 - 1] 0.76/0.79 f2#(I2, I3) -> f2#(I3, I3) [I2 <= I3 - 1 /\ 0 <= I2 - 1 /\ 0 <= I3 - 1] 0.76/0.79 f2#(I4, I5) -> f2#(I4, I4 - 1) [I4 = I5 /\ 0 <= I4 - 1] 0.76/0.79 R = 0.76/0.79 init(x1, x2) -> f1(rnd1, rnd2) 0.76/0.79 f2(I0, I1) -> f2(I1, I0) [0 <= I0 - 1 /\ 0 <= I1 - 1 /\ I1 <= I0 - 1] 0.76/0.79 f2(I2, I3) -> f2(I3, I3) [I2 <= I3 - 1 /\ 0 <= I2 - 1 /\ 0 <= I3 - 1] 0.76/0.79 f2(I4, I5) -> f2(I4, I4 - 1) [I4 = I5 /\ 0 <= I4 - 1] 0.76/0.79 f1(I6, I7) -> f2(I8, I9) [0 <= I6 - 1 /\ -1 <= I9 - 1 /\ 1 <= I7 - 1 /\ -1 <= I8 - 1] 0.76/0.79 0.76/3.77 EOF