0.75/0.77 MAYBE 0.75/0.77 0.75/0.77 DP problem for innermost termination. 0.75/0.77 P = 0.75/0.77 init#(x1, x2) -> f1#(rnd1, rnd2) 0.75/0.77 f2#(I0, I1) -> f2#(-1 * I0 - 1, I2) [-1 * I0 <= 1 /\ 4 <= I0 - 1] 0.75/0.77 f2#(I3, I4) -> f2#(-1 * I3 + 1, I5) [I3 <= 4 /\ 0 <= I3 - 1] 0.75/0.77 f2#(I6, I7) -> f2#(-1 * I6 + 1, I8) [I6 <= 4 /\ I6 <= -1] 0.75/0.77 f1#(I9, I10) -> f2#(I10, I11) [-1 <= I10 - 1 /\ 0 <= I9 - 1] 0.75/0.77 R = 0.75/0.77 init(x1, x2) -> f1(rnd1, rnd2) 0.75/0.77 f2(I0, I1) -> f2(-1 * I0 - 1, I2) [-1 * I0 <= 1 /\ 4 <= I0 - 1] 0.75/0.77 f2(I3, I4) -> f2(-1 * I3 + 1, I5) [I3 <= 4 /\ 0 <= I3 - 1] 0.75/0.77 f2(I6, I7) -> f2(-1 * I6 + 1, I8) [I6 <= 4 /\ I6 <= -1] 0.75/0.77 f1(I9, I10) -> f2(I10, I11) [-1 <= I10 - 1 /\ 0 <= I9 - 1] 0.75/0.77 0.75/0.77 The dependency graph for this problem is: 0.75/0.77 0 -> 4 0.75/0.77 1 -> 3 0.75/0.77 2 -> 3 0.75/0.77 3 -> 1, 2 0.75/0.77 4 -> 1, 2 0.75/0.77 Where: 0.75/0.77 0) init#(x1, x2) -> f1#(rnd1, rnd2) 0.75/0.77 1) f2#(I0, I1) -> f2#(-1 * I0 - 1, I2) [-1 * I0 <= 1 /\ 4 <= I0 - 1] 0.75/0.77 2) f2#(I3, I4) -> f2#(-1 * I3 + 1, I5) [I3 <= 4 /\ 0 <= I3 - 1] 0.75/0.77 3) f2#(I6, I7) -> f2#(-1 * I6 + 1, I8) [I6 <= 4 /\ I6 <= -1] 0.75/0.77 4) f1#(I9, I10) -> f2#(I10, I11) [-1 <= I10 - 1 /\ 0 <= I9 - 1] 0.75/0.77 0.75/0.77 We have the following SCCs. 0.75/0.77 { 1, 2, 3 } 0.75/0.77 0.75/0.77 DP problem for innermost termination. 0.75/0.77 P = 0.75/0.77 f2#(I0, I1) -> f2#(-1 * I0 - 1, I2) [-1 * I0 <= 1 /\ 4 <= I0 - 1] 0.75/0.77 f2#(I3, I4) -> f2#(-1 * I3 + 1, I5) [I3 <= 4 /\ 0 <= I3 - 1] 0.75/0.77 f2#(I6, I7) -> f2#(-1 * I6 + 1, I8) [I6 <= 4 /\ I6 <= -1] 0.75/0.77 R = 0.75/0.77 init(x1, x2) -> f1(rnd1, rnd2) 0.75/0.77 f2(I0, I1) -> f2(-1 * I0 - 1, I2) [-1 * I0 <= 1 /\ 4 <= I0 - 1] 0.75/0.77 f2(I3, I4) -> f2(-1 * I3 + 1, I5) [I3 <= 4 /\ 0 <= I3 - 1] 0.75/0.77 f2(I6, I7) -> f2(-1 * I6 + 1, I8) [I6 <= 4 /\ I6 <= -1] 0.75/0.77 f1(I9, I10) -> f2(I10, I11) [-1 <= I10 - 1 /\ 0 <= I9 - 1] 0.75/0.77 0.75/3.75 EOF