0.91/0.94 MAYBE 0.91/0.94 0.91/0.94 DP problem for innermost termination. 0.91/0.94 P = 0.91/0.94 init#(x1, x2, x3) -> f1#(rnd1, rnd2, rnd3) 0.91/0.94 f2#(I0, I1, I2) -> f2#(I3, I4, I2) [0 <= I4 - 1 /\ 0 <= I3 - 1 /\ 0 <= I1 - 1 /\ 0 <= I0 - 1 /\ I4 <= I1 /\ I4 <= I0 /\ I3 <= I1 /\ I3 <= I0] 0.91/0.94 f2#(I5, I6, I7) -> f2#(I8, I9, I7) [0 <= I9 - 1 /\ 0 <= I8 - 1 /\ 0 <= I6 - 1 /\ 0 <= I5 - 1 /\ I9 <= I6 /\ I9 <= I5 /\ I8 <= I6 /\ I8 <= I5] 0.91/0.94 f1#(I10, I11, I12) -> f2#(I13, I14, 1) [1 = I11 /\ 0 <= I14 - 1 /\ 0 <= I13 - 1 /\ 0 <= I10 - 1 /\ I14 <= I10 /\ I13 <= I10] 0.91/0.94 f1#(I15, I16, I17) -> f2#(I18, I19, 2) [2 = I16 /\ 0 <= I19 - 1 /\ 0 <= I18 - 1 /\ 0 <= I15 - 1 /\ I19 <= I15 /\ I18 <= I15] 0.91/0.94 R = 0.91/0.94 init(x1, x2, x3) -> f1(rnd1, rnd2, rnd3) 0.91/0.94 f2(I0, I1, I2) -> f2(I3, I4, I2) [0 <= I4 - 1 /\ 0 <= I3 - 1 /\ 0 <= I1 - 1 /\ 0 <= I0 - 1 /\ I4 <= I1 /\ I4 <= I0 /\ I3 <= I1 /\ I3 <= I0] 0.91/0.94 f2(I5, I6, I7) -> f2(I8, I9, I7) [0 <= I9 - 1 /\ 0 <= I8 - 1 /\ 0 <= I6 - 1 /\ 0 <= I5 - 1 /\ I9 <= I6 /\ I9 <= I5 /\ I8 <= I6 /\ I8 <= I5] 0.91/0.94 f1(I10, I11, I12) -> f2(I13, I14, 1) [1 = I11 /\ 0 <= I14 - 1 /\ 0 <= I13 - 1 /\ 0 <= I10 - 1 /\ I14 <= I10 /\ I13 <= I10] 0.91/0.94 f1(I15, I16, I17) -> f2(I18, I19, 2) [2 = I16 /\ 0 <= I19 - 1 /\ 0 <= I18 - 1 /\ 0 <= I15 - 1 /\ I19 <= I15 /\ I18 <= I15] 0.91/0.94 0.91/0.94 The dependency graph for this problem is: 0.91/0.94 0 -> 3, 4 0.91/0.94 1 -> 1, 2 0.91/0.94 2 -> 1, 2 0.91/0.94 3 -> 1, 2 0.91/0.94 4 -> 1, 2 0.91/0.94 Where: 0.91/0.94 0) init#(x1, x2, x3) -> f1#(rnd1, rnd2, rnd3) 0.91/0.94 1) f2#(I0, I1, I2) -> f2#(I3, I4, I2) [0 <= I4 - 1 /\ 0 <= I3 - 1 /\ 0 <= I1 - 1 /\ 0 <= I0 - 1 /\ I4 <= I1 /\ I4 <= I0 /\ I3 <= I1 /\ I3 <= I0] 0.91/0.94 2) f2#(I5, I6, I7) -> f2#(I8, I9, I7) [0 <= I9 - 1 /\ 0 <= I8 - 1 /\ 0 <= I6 - 1 /\ 0 <= I5 - 1 /\ I9 <= I6 /\ I9 <= I5 /\ I8 <= I6 /\ I8 <= I5] 0.91/0.94 3) f1#(I10, I11, I12) -> f2#(I13, I14, 1) [1 = I11 /\ 0 <= I14 - 1 /\ 0 <= I13 - 1 /\ 0 <= I10 - 1 /\ I14 <= I10 /\ I13 <= I10] 0.91/0.94 4) f1#(I15, I16, I17) -> f2#(I18, I19, 2) [2 = I16 /\ 0 <= I19 - 1 /\ 0 <= I18 - 1 /\ 0 <= I15 - 1 /\ I19 <= I15 /\ I18 <= I15] 0.91/0.94 0.91/0.94 We have the following SCCs. 0.91/0.94 { 1, 2 } 0.91/0.94 0.91/0.94 DP problem for innermost termination. 0.91/0.94 P = 0.91/0.94 f2#(I0, I1, I2) -> f2#(I3, I4, I2) [0 <= I4 - 1 /\ 0 <= I3 - 1 /\ 0 <= I1 - 1 /\ 0 <= I0 - 1 /\ I4 <= I1 /\ I4 <= I0 /\ I3 <= I1 /\ I3 <= I0] 0.91/0.94 f2#(I5, I6, I7) -> f2#(I8, I9, I7) [0 <= I9 - 1 /\ 0 <= I8 - 1 /\ 0 <= I6 - 1 /\ 0 <= I5 - 1 /\ I9 <= I6 /\ I9 <= I5 /\ I8 <= I6 /\ I8 <= I5] 0.91/0.94 R = 0.91/0.94 init(x1, x2, x3) -> f1(rnd1, rnd2, rnd3) 0.91/0.94 f2(I0, I1, I2) -> f2(I3, I4, I2) [0 <= I4 - 1 /\ 0 <= I3 - 1 /\ 0 <= I1 - 1 /\ 0 <= I0 - 1 /\ I4 <= I1 /\ I4 <= I0 /\ I3 <= I1 /\ I3 <= I0] 0.91/0.94 f2(I5, I6, I7) -> f2(I8, I9, I7) [0 <= I9 - 1 /\ 0 <= I8 - 1 /\ 0 <= I6 - 1 /\ 0 <= I5 - 1 /\ I9 <= I6 /\ I9 <= I5 /\ I8 <= I6 /\ I8 <= I5] 0.91/0.94 f1(I10, I11, I12) -> f2(I13, I14, 1) [1 = I11 /\ 0 <= I14 - 1 /\ 0 <= I13 - 1 /\ 0 <= I10 - 1 /\ I14 <= I10 /\ I13 <= I10] 0.91/0.94 f1(I15, I16, I17) -> f2(I18, I19, 2) [2 = I16 /\ 0 <= I19 - 1 /\ 0 <= I18 - 1 /\ 0 <= I15 - 1 /\ I19 <= I15 /\ I18 <= I15] 0.91/0.94 0.91/3.92 EOF