0.00/0.42 MAYBE 0.00/0.42 0.00/0.42 DP problem for innermost termination. 0.00/0.42 P = 0.00/0.42 init#(x1, x2) -> f1#(rnd1, rnd2) 0.00/0.42 f3#(I0, I1) -> f3#(I0 - 1, I1 + I0) [0 <= I1 - 1] 0.00/0.42 f2#(I2, I3) -> f2#(I2 - 1, I3 + I2) [0 <= I3 - 1] 0.00/0.42 f1#(I4, I5) -> f3#(I6, I7) [0 <= I4 - 1 /\ -1 <= I7 - 1 /\ 1 <= I5 - 1 /\ -1 <= I6 - 1] 0.00/0.42 f1#(I8, I9) -> f2#(0, I10) [1 = I9 /\ -1 <= I10 - 1 /\ 0 <= I8 - 1] 0.00/0.42 R = 0.00/0.42 init(x1, x2) -> f1(rnd1, rnd2) 0.00/0.42 f3(I0, I1) -> f3(I0 - 1, I1 + I0) [0 <= I1 - 1] 0.00/0.42 f2(I2, I3) -> f2(I2 - 1, I3 + I2) [0 <= I3 - 1] 0.00/0.42 f1(I4, I5) -> f3(I6, I7) [0 <= I4 - 1 /\ -1 <= I7 - 1 /\ 1 <= I5 - 1 /\ -1 <= I6 - 1] 0.00/0.42 f1(I8, I9) -> f2(0, I10) [1 = I9 /\ -1 <= I10 - 1 /\ 0 <= I8 - 1] 0.00/0.42 0.00/0.42 The dependency graph for this problem is: 0.00/0.42 0 -> 3, 4 0.00/0.42 1 -> 1 0.00/0.42 2 -> 2 0.00/0.42 3 -> 1 0.00/0.42 4 -> 2 0.00/0.42 Where: 0.00/0.42 0) init#(x1, x2) -> f1#(rnd1, rnd2) 0.00/0.42 1) f3#(I0, I1) -> f3#(I0 - 1, I1 + I0) [0 <= I1 - 1] 0.00/0.42 2) f2#(I2, I3) -> f2#(I2 - 1, I3 + I2) [0 <= I3 - 1] 0.00/0.42 3) f1#(I4, I5) -> f3#(I6, I7) [0 <= I4 - 1 /\ -1 <= I7 - 1 /\ 1 <= I5 - 1 /\ -1 <= I6 - 1] 0.00/0.42 4) f1#(I8, I9) -> f2#(0, I10) [1 = I9 /\ -1 <= I10 - 1 /\ 0 <= I8 - 1] 0.00/0.42 0.00/0.42 We have the following SCCs. 0.00/0.42 { 1 } 0.00/0.42 { 2 } 0.00/0.42 0.00/0.42 DP problem for innermost termination. 0.00/0.42 P = 0.00/0.42 f2#(I2, I3) -> f2#(I2 - 1, I3 + I2) [0 <= I3 - 1] 0.00/0.42 R = 0.00/0.42 init(x1, x2) -> f1(rnd1, rnd2) 0.00/0.42 f3(I0, I1) -> f3(I0 - 1, I1 + I0) [0 <= I1 - 1] 0.00/0.42 f2(I2, I3) -> f2(I2 - 1, I3 + I2) [0 <= I3 - 1] 0.00/0.42 f1(I4, I5) -> f3(I6, I7) [0 <= I4 - 1 /\ -1 <= I7 - 1 /\ 1 <= I5 - 1 /\ -1 <= I6 - 1] 0.00/0.42 f1(I8, I9) -> f2(0, I10) [1 = I9 /\ -1 <= I10 - 1 /\ 0 <= I8 - 1] 0.00/0.42 0.00/3.39 EOF