0.00/0.44 MAYBE 0.00/0.44 0.00/0.44 DP problem for innermost termination. 0.00/0.44 P = 0.00/0.44 init#(x1, x2) -> f1#(rnd1, rnd2) 0.00/0.44 f4#(I0, I1) -> f2#(I0 + 1, I2) [14 <= I1 - 1] 0.00/0.44 f4#(I3, I4) -> f4#(I3, I4 + 1) [I4 <= 14] 0.00/0.44 f2#(I5, I6) -> f4#(I5, 0) [I5 <= 99 /\ I5 <= 9] 0.00/0.44 f2#(I7, I8) -> f3#(I7, I9) [49 <= I7 - 1 /\ I7 <= 99] 0.00/0.44 f3#(I10, I11) -> f3#(I10, I12) 0.00/0.44 f2#(I13, I14) -> f2#(I13 + 1, I15) [I13 <= 99 /\ 9 <= I13 - 1 /\ I13 <= 49] 0.00/0.44 f1#(I16, I17) -> f2#(0, I18) 0.00/0.44 R = 0.00/0.44 init(x1, x2) -> f1(rnd1, rnd2) 0.00/0.44 f4(I0, I1) -> f2(I0 + 1, I2) [14 <= I1 - 1] 0.00/0.44 f4(I3, I4) -> f4(I3, I4 + 1) [I4 <= 14] 0.00/0.44 f2(I5, I6) -> f4(I5, 0) [I5 <= 99 /\ I5 <= 9] 0.00/0.44 f2(I7, I8) -> f3(I7, I9) [49 <= I7 - 1 /\ I7 <= 99] 0.00/0.44 f3(I10, I11) -> f3(I10, I12) 0.00/0.44 f2(I13, I14) -> f2(I13 + 1, I15) [I13 <= 99 /\ 9 <= I13 - 1 /\ I13 <= 49] 0.00/0.44 f1(I16, I17) -> f2(0, I18) 0.00/0.44 0.00/0.44 The dependency graph for this problem is: 0.00/0.44 0 -> 7 0.00/0.44 1 -> 3, 4, 6 0.00/0.44 2 -> 1, 2 0.00/0.44 3 -> 2 0.00/0.44 4 -> 5 0.00/0.44 5 -> 5 0.00/0.44 6 -> 4, 6 0.00/0.44 7 -> 3 0.00/0.44 Where: 0.00/0.44 0) init#(x1, x2) -> f1#(rnd1, rnd2) 0.00/0.44 1) f4#(I0, I1) -> f2#(I0 + 1, I2) [14 <= I1 - 1] 0.00/0.44 2) f4#(I3, I4) -> f4#(I3, I4 + 1) [I4 <= 14] 0.00/0.44 3) f2#(I5, I6) -> f4#(I5, 0) [I5 <= 99 /\ I5 <= 9] 0.00/0.44 4) f2#(I7, I8) -> f3#(I7, I9) [49 <= I7 - 1 /\ I7 <= 99] 0.00/0.44 5) f3#(I10, I11) -> f3#(I10, I12) 0.00/0.44 6) f2#(I13, I14) -> f2#(I13 + 1, I15) [I13 <= 99 /\ 9 <= I13 - 1 /\ I13 <= 49] 0.00/0.44 7) f1#(I16, I17) -> f2#(0, I18) 0.00/0.44 0.00/0.44 We have the following SCCs. 0.00/0.44 { 1, 2, 3 } 0.00/0.44 { 6 } 0.00/0.44 { 5 } 0.00/0.44 0.00/0.44 DP problem for innermost termination. 0.00/0.44 P = 0.00/0.44 f3#(I10, I11) -> f3#(I10, I12) 0.00/0.44 R = 0.00/0.44 init(x1, x2) -> f1(rnd1, rnd2) 0.00/0.44 f4(I0, I1) -> f2(I0 + 1, I2) [14 <= I1 - 1] 0.00/0.44 f4(I3, I4) -> f4(I3, I4 + 1) [I4 <= 14] 0.00/0.44 f2(I5, I6) -> f4(I5, 0) [I5 <= 99 /\ I5 <= 9] 0.00/0.44 f2(I7, I8) -> f3(I7, I9) [49 <= I7 - 1 /\ I7 <= 99] 0.00/0.44 f3(I10, I11) -> f3(I10, I12) 0.00/0.44 f2(I13, I14) -> f2(I13 + 1, I15) [I13 <= 99 /\ 9 <= I13 - 1 /\ I13 <= 49] 0.00/0.44 f1(I16, I17) -> f2(0, I18) 0.00/0.44 0.00/3.42 EOF