0.53/0.60 MAYBE 0.53/0.60 0.53/0.60 DP problem for innermost termination. 0.53/0.60 P = 0.53/0.60 init#(x1, x2, x3) -> f1#(rnd1, rnd2, rnd3) 0.53/0.60 f2#(I0, I1, I2) -> f2#(I3, I4, 0) [0 = I2 /\ 0 <= I4 - 1 /\ 3 <= I3 - 1 /\ 0 <= I1 - 1 /\ 0 <= I0 - 1 /\ I4 <= I1 /\ I3 - 3 <= I1 /\ I3 - 3 <= I0] 0.53/0.60 f2#(I5, I6, I7) -> f2#(I8, I9, I7) [3 <= I9 - 1 /\ 0 <= I8 - 1 /\ 0 <= I6 - 1 /\ 0 <= I5 - 1 /\ I9 - 3 <= I6 /\ I9 - 3 <= I5 /\ 0 <= I7 - 1 /\ I8 <= I5] 0.53/0.60 f1#(I10, I11, I12) -> f2#(I13, I14, 0) [1 <= I14 - 1 /\ 3 <= I13 - 1 /\ 0 <= I10 - 1 /\ I14 - 1 <= I10 /\ -1 <= I11 - 1 /\ I13 - 3 <= I10] 0.53/0.60 f1#(I15, I16, I17) -> f2#(I18, I19, I20) [3 <= I19 - 1 /\ 1 <= I18 - 1 /\ 0 <= I15 - 1 /\ I19 - 3 <= I15 /\ I18 - 1 <= I15 /\ -1 <= I16 - 1 /\ 0 <= I20 - 1] 0.53/0.60 R = 0.53/0.60 init(x1, x2, x3) -> f1(rnd1, rnd2, rnd3) 0.53/0.60 f2(I0, I1, I2) -> f2(I3, I4, 0) [0 = I2 /\ 0 <= I4 - 1 /\ 3 <= I3 - 1 /\ 0 <= I1 - 1 /\ 0 <= I0 - 1 /\ I4 <= I1 /\ I3 - 3 <= I1 /\ I3 - 3 <= I0] 0.53/0.60 f2(I5, I6, I7) -> f2(I8, I9, I7) [3 <= I9 - 1 /\ 0 <= I8 - 1 /\ 0 <= I6 - 1 /\ 0 <= I5 - 1 /\ I9 - 3 <= I6 /\ I9 - 3 <= I5 /\ 0 <= I7 - 1 /\ I8 <= I5] 0.53/0.60 f1(I10, I11, I12) -> f2(I13, I14, 0) [1 <= I14 - 1 /\ 3 <= I13 - 1 /\ 0 <= I10 - 1 /\ I14 - 1 <= I10 /\ -1 <= I11 - 1 /\ I13 - 3 <= I10] 0.53/0.60 f1(I15, I16, I17) -> f2(I18, I19, I20) [3 <= I19 - 1 /\ 1 <= I18 - 1 /\ 0 <= I15 - 1 /\ I19 - 3 <= I15 /\ I18 - 1 <= I15 /\ -1 <= I16 - 1 /\ 0 <= I20 - 1] 0.53/0.60 0.53/0.60 The dependency graph for this problem is: 0.53/0.60 0 -> 3, 4 0.53/0.60 1 -> 1 0.53/0.60 2 -> 2 0.53/0.60 3 -> 1 0.53/0.60 4 -> 2 0.53/0.60 Where: 0.53/0.60 0) init#(x1, x2, x3) -> f1#(rnd1, rnd2, rnd3) 0.53/0.60 1) f2#(I0, I1, I2) -> f2#(I3, I4, 0) [0 = I2 /\ 0 <= I4 - 1 /\ 3 <= I3 - 1 /\ 0 <= I1 - 1 /\ 0 <= I0 - 1 /\ I4 <= I1 /\ I3 - 3 <= I1 /\ I3 - 3 <= I0] 0.53/0.60 2) f2#(I5, I6, I7) -> f2#(I8, I9, I7) [3 <= I9 - 1 /\ 0 <= I8 - 1 /\ 0 <= I6 - 1 /\ 0 <= I5 - 1 /\ I9 - 3 <= I6 /\ I9 - 3 <= I5 /\ 0 <= I7 - 1 /\ I8 <= I5] 0.53/0.60 3) f1#(I10, I11, I12) -> f2#(I13, I14, 0) [1 <= I14 - 1 /\ 3 <= I13 - 1 /\ 0 <= I10 - 1 /\ I14 - 1 <= I10 /\ -1 <= I11 - 1 /\ I13 - 3 <= I10] 0.53/0.60 4) f1#(I15, I16, I17) -> f2#(I18, I19, I20) [3 <= I19 - 1 /\ 1 <= I18 - 1 /\ 0 <= I15 - 1 /\ I19 - 3 <= I15 /\ I18 - 1 <= I15 /\ -1 <= I16 - 1 /\ 0 <= I20 - 1] 0.53/0.60 0.53/0.60 We have the following SCCs. 0.53/0.60 { 1 } 0.53/0.60 { 2 } 0.53/0.60 0.53/0.60 DP problem for innermost termination. 0.53/0.60 P = 0.53/0.60 f2#(I5, I6, I7) -> f2#(I8, I9, I7) [3 <= I9 - 1 /\ 0 <= I8 - 1 /\ 0 <= I6 - 1 /\ 0 <= I5 - 1 /\ I9 - 3 <= I6 /\ I9 - 3 <= I5 /\ 0 <= I7 - 1 /\ I8 <= I5] 0.53/0.60 R = 0.53/0.60 init(x1, x2, x3) -> f1(rnd1, rnd2, rnd3) 0.53/0.60 f2(I0, I1, I2) -> f2(I3, I4, 0) [0 = I2 /\ 0 <= I4 - 1 /\ 3 <= I3 - 1 /\ 0 <= I1 - 1 /\ 0 <= I0 - 1 /\ I4 <= I1 /\ I3 - 3 <= I1 /\ I3 - 3 <= I0] 0.53/0.60 f2(I5, I6, I7) -> f2(I8, I9, I7) [3 <= I9 - 1 /\ 0 <= I8 - 1 /\ 0 <= I6 - 1 /\ 0 <= I5 - 1 /\ I9 - 3 <= I6 /\ I9 - 3 <= I5 /\ 0 <= I7 - 1 /\ I8 <= I5] 0.53/0.60 f1(I10, I11, I12) -> f2(I13, I14, 0) [1 <= I14 - 1 /\ 3 <= I13 - 1 /\ 0 <= I10 - 1 /\ I14 - 1 <= I10 /\ -1 <= I11 - 1 /\ I13 - 3 <= I10] 0.53/0.60 f1(I15, I16, I17) -> f2(I18, I19, I20) [3 <= I19 - 1 /\ 1 <= I18 - 1 /\ 0 <= I15 - 1 /\ I19 - 3 <= I15 /\ I18 - 1 <= I15 /\ -1 <= I16 - 1 /\ 0 <= I20 - 1] 0.53/0.60 0.53/3.58 EOF