0.52/0.57 MAYBE 0.52/0.57 0.52/0.57 DP problem for innermost termination. 0.52/0.57 P = 0.52/0.57 init#(x1, x2) -> f1#(rnd1, rnd2) 0.52/0.57 f2#(I0, I1) -> f2#(-1 * I0 - 1, I2) [-1 * I0 <= 1 /\ 0 <= I0 - 1] 0.52/0.57 f2#(I3, I4) -> f2#(-1 * I3 + 1, I5) [I3 <= 0 /\ 0 <= -1 * I3 - 1 /\ I3 <= -1 /\ I3 <= 1] 0.52/0.57 f1#(I6, I7) -> f2#(I7, I8) [-1 <= I7 - 1 /\ 0 <= I6 - 1] 0.52/0.57 R = 0.52/0.57 init(x1, x2) -> f1(rnd1, rnd2) 0.52/0.57 f2(I0, I1) -> f2(-1 * I0 - 1, I2) [-1 * I0 <= 1 /\ 0 <= I0 - 1] 0.52/0.57 f2(I3, I4) -> f2(-1 * I3 + 1, I5) [I3 <= 0 /\ 0 <= -1 * I3 - 1 /\ I3 <= -1 /\ I3 <= 1] 0.52/0.57 f1(I6, I7) -> f2(I7, I8) [-1 <= I7 - 1 /\ 0 <= I6 - 1] 0.52/0.57 0.52/0.57 The dependency graph for this problem is: 0.52/0.57 0 -> 3 0.52/0.57 1 -> 2 0.52/0.57 2 -> 1 0.52/0.57 3 -> 1 0.52/0.57 Where: 0.52/0.57 0) init#(x1, x2) -> f1#(rnd1, rnd2) 0.52/0.57 1) f2#(I0, I1) -> f2#(-1 * I0 - 1, I2) [-1 * I0 <= 1 /\ 0 <= I0 - 1] 0.52/0.57 2) f2#(I3, I4) -> f2#(-1 * I3 + 1, I5) [I3 <= 0 /\ 0 <= -1 * I3 - 1 /\ I3 <= -1 /\ I3 <= 1] 0.52/0.57 3) f1#(I6, I7) -> f2#(I7, I8) [-1 <= I7 - 1 /\ 0 <= I6 - 1] 0.52/0.57 0.52/0.57 We have the following SCCs. 0.52/0.57 { 1, 2 } 0.52/0.57 0.52/0.57 DP problem for innermost termination. 0.52/0.57 P = 0.52/0.57 f2#(I0, I1) -> f2#(-1 * I0 - 1, I2) [-1 * I0 <= 1 /\ 0 <= I0 - 1] 0.52/0.57 f2#(I3, I4) -> f2#(-1 * I3 + 1, I5) [I3 <= 0 /\ 0 <= -1 * I3 - 1 /\ I3 <= -1 /\ I3 <= 1] 0.52/0.57 R = 0.52/0.57 init(x1, x2) -> f1(rnd1, rnd2) 0.52/0.57 f2(I0, I1) -> f2(-1 * I0 - 1, I2) [-1 * I0 <= 1 /\ 0 <= I0 - 1] 0.52/0.57 f2(I3, I4) -> f2(-1 * I3 + 1, I5) [I3 <= 0 /\ 0 <= -1 * I3 - 1 /\ I3 <= -1 /\ I3 <= 1] 0.52/0.57 f1(I6, I7) -> f2(I7, I8) [-1 <= I7 - 1 /\ 0 <= I6 - 1] 0.52/0.57 0.52/0.57 EOF