0.00/0.58 MAYBE 0.00/0.58 0.00/0.58 DP problem for innermost termination. 0.00/0.58 P = 0.00/0.58 init#(x1, x2, x3) -> f1#(rnd1, rnd2, rnd3) 0.00/0.58 f2#(I0, I1, I2) -> f2#(I0 + I1, I1 - 1, I0 + I1) [I0 = I2 /\ I1 - 1 <= I1 - 1 /\ 0 <= I0 - 1] 0.00/0.58 f1#(I3, I4, I5) -> f2#(I6, I7, I8) [I6 = I8 /\ 0 <= I3 - 1 /\ -1 <= I6 - 1 /\ 1 <= I4 - 1 /\ -1 <= I7 - 1] 0.00/0.58 f1#(I9, I10, I11) -> f2#(I12, 0, I13) [I12 = I13 /\ 1 = I10 /\ -1 <= I12 - 1 /\ 0 <= I9 - 1] 0.00/0.58 f1#(I14, I15, I16) -> f2#(0, 0, 0) [0 = I15 /\ 0 <= I14 - 1] 0.00/0.58 R = 0.00/0.58 init(x1, x2, x3) -> f1(rnd1, rnd2, rnd3) 0.00/0.58 f2(I0, I1, I2) -> f2(I0 + I1, I1 - 1, I0 + I1) [I0 = I2 /\ I1 - 1 <= I1 - 1 /\ 0 <= I0 - 1] 0.00/0.58 f1(I3, I4, I5) -> f2(I6, I7, I8) [I6 = I8 /\ 0 <= I3 - 1 /\ -1 <= I6 - 1 /\ 1 <= I4 - 1 /\ -1 <= I7 - 1] 0.00/0.58 f1(I9, I10, I11) -> f2(I12, 0, I13) [I12 = I13 /\ 1 = I10 /\ -1 <= I12 - 1 /\ 0 <= I9 - 1] 0.00/0.58 f1(I14, I15, I16) -> f2(0, 0, 0) [0 = I15 /\ 0 <= I14 - 1] 0.00/0.58 0.00/0.58 The dependency graph for this problem is: 0.00/0.58 0 -> 2, 3, 4 0.00/0.58 1 -> 1 0.00/0.58 2 -> 1 0.00/0.58 3 -> 1 0.00/0.58 4 -> 0.00/0.58 Where: 0.00/0.58 0) init#(x1, x2, x3) -> f1#(rnd1, rnd2, rnd3) 0.00/0.58 1) f2#(I0, I1, I2) -> f2#(I0 + I1, I1 - 1, I0 + I1) [I0 = I2 /\ I1 - 1 <= I1 - 1 /\ 0 <= I0 - 1] 0.00/0.58 2) f1#(I3, I4, I5) -> f2#(I6, I7, I8) [I6 = I8 /\ 0 <= I3 - 1 /\ -1 <= I6 - 1 /\ 1 <= I4 - 1 /\ -1 <= I7 - 1] 0.00/0.58 3) f1#(I9, I10, I11) -> f2#(I12, 0, I13) [I12 = I13 /\ 1 = I10 /\ -1 <= I12 - 1 /\ 0 <= I9 - 1] 0.00/0.58 4) f1#(I14, I15, I16) -> f2#(0, 0, 0) [0 = I15 /\ 0 <= I14 - 1] 0.00/0.58 0.00/0.58 We have the following SCCs. 0.00/0.58 { 1 } 0.00/0.58 0.00/0.58 DP problem for innermost termination. 0.00/0.58 P = 0.00/0.58 f2#(I0, I1, I2) -> f2#(I0 + I1, I1 - 1, I0 + I1) [I0 = I2 /\ I1 - 1 <= I1 - 1 /\ 0 <= I0 - 1] 0.00/0.58 R = 0.00/0.58 init(x1, x2, x3) -> f1(rnd1, rnd2, rnd3) 0.00/0.58 f2(I0, I1, I2) -> f2(I0 + I1, I1 - 1, I0 + I1) [I0 = I2 /\ I1 - 1 <= I1 - 1 /\ 0 <= I0 - 1] 0.00/0.58 f1(I3, I4, I5) -> f2(I6, I7, I8) [I6 = I8 /\ 0 <= I3 - 1 /\ -1 <= I6 - 1 /\ 1 <= I4 - 1 /\ -1 <= I7 - 1] 0.00/0.58 f1(I9, I10, I11) -> f2(I12, 0, I13) [I12 = I13 /\ 1 = I10 /\ -1 <= I12 - 1 /\ 0 <= I9 - 1] 0.00/0.58 f1(I14, I15, I16) -> f2(0, 0, 0) [0 = I15 /\ 0 <= I14 - 1] 0.00/0.58 0.00/3.56 EOF