0.85/0.91 MAYBE 0.85/0.91 0.85/0.91 DP problem for innermost termination. 0.85/0.91 P = 0.85/0.91 init#(x1, x2) -> f1#(rnd1, rnd2) 0.85/0.91 f2#(I0, I1) -> f2#(I0 + 1, -1 * I1 - 1) [0 - I0 <= I1 /\ 0 <= I1 - 1 /\ I0 <= I1 - 1] 0.85/0.91 f2#(I2, I3) -> f2#(I2 + 1, -1 * I3 - 1) [0 - I2 <= I3 /\ I3 <= -1 /\ I2 <= I3 - 1] 0.85/0.91 f2#(I4, I5) -> f2#(I4 + 1, 0) [0 - I4 <= I5 /\ 0 <= I5 - 1 /\ I5 <= I4] 0.85/0.91 f2#(I6, I7) -> f2#(I6 + 1, 0) [0 - I6 <= I7 /\ I7 <= -1 /\ I7 <= I6] 0.85/0.91 f2#(I8, I9) -> f2#(I8 + 1, -1 * I9 + 1) [I9 <= 0 - I8 - 1 /\ 0 <= I9 - 1] 0.85/0.91 f2#(I10, I11) -> f2#(I10 + 1, -1 * I11 + 1) [I11 <= 0 - I10 - 1 /\ I11 <= -1] 0.85/0.91 f1#(I12, I13) -> f2#(5, I13) [-1 <= I13 - 1 /\ 0 <= I12 - 1] 0.85/0.91 R = 0.85/0.91 init(x1, x2) -> f1(rnd1, rnd2) 0.85/0.91 f2(I0, I1) -> f2(I0 + 1, -1 * I1 - 1) [0 - I0 <= I1 /\ 0 <= I1 - 1 /\ I0 <= I1 - 1] 0.85/0.91 f2(I2, I3) -> f2(I2 + 1, -1 * I3 - 1) [0 - I2 <= I3 /\ I3 <= -1 /\ I2 <= I3 - 1] 0.85/0.91 f2(I4, I5) -> f2(I4 + 1, 0) [0 - I4 <= I5 /\ 0 <= I5 - 1 /\ I5 <= I4] 0.85/0.91 f2(I6, I7) -> f2(I6 + 1, 0) [0 - I6 <= I7 /\ I7 <= -1 /\ I7 <= I6] 0.85/0.91 f2(I8, I9) -> f2(I8 + 1, -1 * I9 + 1) [I9 <= 0 - I8 - 1 /\ 0 <= I9 - 1] 0.85/0.91 f2(I10, I11) -> f2(I10 + 1, -1 * I11 + 1) [I11 <= 0 - I10 - 1 /\ I11 <= -1] 0.85/0.91 f1(I12, I13) -> f2(5, I13) [-1 <= I13 - 1 /\ 0 <= I12 - 1] 0.85/0.91 0.85/0.91 The dependency graph for this problem is: 0.85/0.91 0 -> 7 0.85/0.91 1 -> 6 0.85/0.91 2 -> 0.85/0.91 3 -> 0.85/0.91 4 -> 0.85/0.91 5 -> 6 0.85/0.91 6 -> 1, 5 0.85/0.91 7 -> 1, 3 0.85/0.91 Where: 0.85/0.91 0) init#(x1, x2) -> f1#(rnd1, rnd2) 0.85/0.91 1) f2#(I0, I1) -> f2#(I0 + 1, -1 * I1 - 1) [0 - I0 <= I1 /\ 0 <= I1 - 1 /\ I0 <= I1 - 1] 0.85/0.91 2) f2#(I2, I3) -> f2#(I2 + 1, -1 * I3 - 1) [0 - I2 <= I3 /\ I3 <= -1 /\ I2 <= I3 - 1] 0.85/0.91 3) f2#(I4, I5) -> f2#(I4 + 1, 0) [0 - I4 <= I5 /\ 0 <= I5 - 1 /\ I5 <= I4] 0.85/0.91 4) f2#(I6, I7) -> f2#(I6 + 1, 0) [0 - I6 <= I7 /\ I7 <= -1 /\ I7 <= I6] 0.85/0.91 5) f2#(I8, I9) -> f2#(I8 + 1, -1 * I9 + 1) [I9 <= 0 - I8 - 1 /\ 0 <= I9 - 1] 0.85/0.91 6) f2#(I10, I11) -> f2#(I10 + 1, -1 * I11 + 1) [I11 <= 0 - I10 - 1 /\ I11 <= -1] 0.85/0.91 7) f1#(I12, I13) -> f2#(5, I13) [-1 <= I13 - 1 /\ 0 <= I12 - 1] 0.85/0.91 0.85/0.91 We have the following SCCs. 0.85/0.91 { 1, 5, 6 } 0.85/0.91 0.85/0.91 DP problem for innermost termination. 0.85/0.91 P = 0.85/0.91 f2#(I0, I1) -> f2#(I0 + 1, -1 * I1 - 1) [0 - I0 <= I1 /\ 0 <= I1 - 1 /\ I0 <= I1 - 1] 0.85/0.91 f2#(I8, I9) -> f2#(I8 + 1, -1 * I9 + 1) [I9 <= 0 - I8 - 1 /\ 0 <= I9 - 1] 0.85/0.91 f2#(I10, I11) -> f2#(I10 + 1, -1 * I11 + 1) [I11 <= 0 - I10 - 1 /\ I11 <= -1] 0.85/0.91 R = 0.85/0.91 init(x1, x2) -> f1(rnd1, rnd2) 0.85/0.91 f2(I0, I1) -> f2(I0 + 1, -1 * I1 - 1) [0 - I0 <= I1 /\ 0 <= I1 - 1 /\ I0 <= I1 - 1] 0.85/0.91 f2(I2, I3) -> f2(I2 + 1, -1 * I3 - 1) [0 - I2 <= I3 /\ I3 <= -1 /\ I2 <= I3 - 1] 0.85/0.91 f2(I4, I5) -> f2(I4 + 1, 0) [0 - I4 <= I5 /\ 0 <= I5 - 1 /\ I5 <= I4] 0.85/0.91 f2(I6, I7) -> f2(I6 + 1, 0) [0 - I6 <= I7 /\ I7 <= -1 /\ I7 <= I6] 0.85/0.91 f2(I8, I9) -> f2(I8 + 1, -1 * I9 + 1) [I9 <= 0 - I8 - 1 /\ 0 <= I9 - 1] 0.85/0.91 f2(I10, I11) -> f2(I10 + 1, -1 * I11 + 1) [I11 <= 0 - I10 - 1 /\ I11 <= -1] 0.85/0.91 f1(I12, I13) -> f2(5, I13) [-1 <= I13 - 1 /\ 0 <= I12 - 1] 0.85/0.91 0.85/3.89 EOF