0.00/0.49 MAYBE 0.00/0.49 0.00/0.49 DP problem for innermost termination. 0.00/0.49 P = 0.00/0.49 init#(x1, x2, x3) -> f1#(rnd1, rnd2, rnd3) 0.00/0.49 f3#(I0, I1, I2) -> f3#(I0, I1 + 1, I1 + 1) [I1 = I2 /\ 0 <= I1 - 1] 0.00/0.49 f3#(I3, I4, I5) -> f2#(I3 + 1, I6, I7) [0 = I5 /\ 0 = I4] 0.00/0.49 f2#(I8, I9, I10) -> f3#(I8, I8, I8) [I8 <= 9] 0.00/0.49 f1#(I11, I12, I13) -> f2#(I12, I14, I15) [-1 <= I12 - 1 /\ 0 <= I11 - 1] 0.00/0.49 R = 0.00/0.49 init(x1, x2, x3) -> f1(rnd1, rnd2, rnd3) 0.00/0.49 f3(I0, I1, I2) -> f3(I0, I1 + 1, I1 + 1) [I1 = I2 /\ 0 <= I1 - 1] 0.00/0.49 f3(I3, I4, I5) -> f2(I3 + 1, I6, I7) [0 = I5 /\ 0 = I4] 0.00/0.49 f2(I8, I9, I10) -> f3(I8, I8, I8) [I8 <= 9] 0.00/0.49 f1(I11, I12, I13) -> f2(I12, I14, I15) [-1 <= I12 - 1 /\ 0 <= I11 - 1] 0.00/0.49 0.00/0.49 The dependency graph for this problem is: 0.00/0.49 0 -> 4 0.00/0.49 1 -> 1 0.00/0.49 2 -> 3 0.00/0.49 3 -> 1, 2 0.00/0.49 4 -> 3 0.00/0.49 Where: 0.00/0.49 0) init#(x1, x2, x3) -> f1#(rnd1, rnd2, rnd3) 0.00/0.49 1) f3#(I0, I1, I2) -> f3#(I0, I1 + 1, I1 + 1) [I1 = I2 /\ 0 <= I1 - 1] 0.00/0.49 2) f3#(I3, I4, I5) -> f2#(I3 + 1, I6, I7) [0 = I5 /\ 0 = I4] 0.00/0.49 3) f2#(I8, I9, I10) -> f3#(I8, I8, I8) [I8 <= 9] 0.00/0.49 4) f1#(I11, I12, I13) -> f2#(I12, I14, I15) [-1 <= I12 - 1 /\ 0 <= I11 - 1] 0.00/0.49 0.00/0.49 We have the following SCCs. 0.00/0.49 { 2, 3 } 0.00/0.49 { 1 } 0.00/0.49 0.00/0.49 DP problem for innermost termination. 0.00/0.49 P = 0.00/0.49 f3#(I0, I1, I2) -> f3#(I0, I1 + 1, I1 + 1) [I1 = I2 /\ 0 <= I1 - 1] 0.00/0.49 R = 0.00/0.49 init(x1, x2, x3) -> f1(rnd1, rnd2, rnd3) 0.00/0.49 f3(I0, I1, I2) -> f3(I0, I1 + 1, I1 + 1) [I1 = I2 /\ 0 <= I1 - 1] 0.00/0.49 f3(I3, I4, I5) -> f2(I3 + 1, I6, I7) [0 = I5 /\ 0 = I4] 0.00/0.49 f2(I8, I9, I10) -> f3(I8, I8, I8) [I8 <= 9] 0.00/0.49 f1(I11, I12, I13) -> f2(I12, I14, I15) [-1 <= I12 - 1 /\ 0 <= I11 - 1] 0.00/0.49 0.00/3.47 EOF