0.00/1.04 MAYBE 0.00/1.04 0.00/1.04 DP problem for innermost termination. 0.00/1.04 P = 0.00/1.04 init#(x1, x2, x3, x4) -> f1#(rnd1, rnd2, rnd3, rnd4) 0.00/1.04 f2#(I0, I1, I2, I3) -> f2#(I4, I5, I6, I3 + 2) [-1 <= I3 - 1 /\ 0 <= I2 - 1 /\ -1 <= y1 - 1 /\ -1 <= y2 - 1 /\ -1 <= I1 - 1 /\ 0 <= I1 + y2 + 1 /\ I0 - y1 = I4 /\ I1 + y2 + 1 = I5 /\ I0 - y1 - (I1 + y2 + 1) = I6] 0.00/1.04 f1#(I7, I8, I9, I10) -> f2#(I11, I12, I13, 2) [I11 - I12 = I13 /\ 0 <= I7 - 1 /\ -1 <= I12 - 1 /\ -1 <= I8 - 1 /\ -1 <= I11 - 1] 0.00/1.04 R = 0.00/1.04 init(x1, x2, x3, x4) -> f1(rnd1, rnd2, rnd3, rnd4) 0.00/1.04 f2(I0, I1, I2, I3) -> f2(I4, I5, I6, I3 + 2) [-1 <= I3 - 1 /\ 0 <= I2 - 1 /\ -1 <= y1 - 1 /\ -1 <= y2 - 1 /\ -1 <= I1 - 1 /\ 0 <= I1 + y2 + 1 /\ I0 - y1 = I4 /\ I1 + y2 + 1 = I5 /\ I0 - y1 - (I1 + y2 + 1) = I6] 0.00/1.04 f1(I7, I8, I9, I10) -> f2(I11, I12, I13, 2) [I11 - I12 = I13 /\ 0 <= I7 - 1 /\ -1 <= I12 - 1 /\ -1 <= I8 - 1 /\ -1 <= I11 - 1] 0.00/1.04 0.00/1.04 The dependency graph for this problem is: 0.00/1.04 0 -> 2 0.00/1.04 1 -> 1 0.00/1.04 2 -> 1 0.00/1.04 Where: 0.00/1.04 0) init#(x1, x2, x3, x4) -> f1#(rnd1, rnd2, rnd3, rnd4) 0.00/1.04 1) f2#(I0, I1, I2, I3) -> f2#(I4, I5, I6, I3 + 2) [-1 <= I3 - 1 /\ 0 <= I2 - 1 /\ -1 <= y1 - 1 /\ -1 <= y2 - 1 /\ -1 <= I1 - 1 /\ 0 <= I1 + y2 + 1 /\ I0 - y1 = I4 /\ I1 + y2 + 1 = I5 /\ I0 - y1 - (I1 + y2 + 1) = I6] 0.00/1.04 2) f1#(I7, I8, I9, I10) -> f2#(I11, I12, I13, 2) [I11 - I12 = I13 /\ 0 <= I7 - 1 /\ -1 <= I12 - 1 /\ -1 <= I8 - 1 /\ -1 <= I11 - 1] 0.00/1.04 0.00/1.04 We have the following SCCs. 0.00/1.04 { 1 } 0.00/1.04 0.00/1.04 DP problem for innermost termination. 0.00/1.04 P = 0.00/1.04 f2#(I0, I1, I2, I3) -> f2#(I4, I5, I6, I3 + 2) [-1 <= I3 - 1 /\ 0 <= I2 - 1 /\ -1 <= y1 - 1 /\ -1 <= y2 - 1 /\ -1 <= I1 - 1 /\ 0 <= I1 + y2 + 1 /\ I0 - y1 = I4 /\ I1 + y2 + 1 = I5 /\ I0 - y1 - (I1 + y2 + 1) = I6] 0.00/1.04 R = 0.00/1.04 init(x1, x2, x3, x4) -> f1(rnd1, rnd2, rnd3, rnd4) 0.00/1.04 f2(I0, I1, I2, I3) -> f2(I4, I5, I6, I3 + 2) [-1 <= I3 - 1 /\ 0 <= I2 - 1 /\ -1 <= y1 - 1 /\ -1 <= y2 - 1 /\ -1 <= I1 - 1 /\ 0 <= I1 + y2 + 1 /\ I0 - y1 = I4 /\ I1 + y2 + 1 = I5 /\ I0 - y1 - (I1 + y2 + 1) = I6] 0.00/1.04 f1(I7, I8, I9, I10) -> f2(I11, I12, I13, 2) [I11 - I12 = I13 /\ 0 <= I7 - 1 /\ -1 <= I12 - 1 /\ -1 <= I8 - 1 /\ -1 <= I11 - 1] 0.00/1.04 0.61/1.04 EOF