2.33/2.63 MAYBE 2.33/2.63 2.33/2.63 DP problem for innermost termination. 2.33/2.63 P = 2.33/2.63 f6#(x1, x2) -> f1#(x1, x2) 2.33/2.63 f5#(I0, I1) -> f2#(I0, I1) 2.33/2.63 f4#(I2, I3) -> f5#(I2 + I3, I3) 2.33/2.63 f3#(I4, I5) -> f4#(I4, I5) [1 <= I5] 2.33/2.63 f3#(I6, I7) -> f4#(I6, I7) [1 + I7 <= 0] 2.33/2.63 f2#(I8, I9) -> f3#(I8, I9) [1 <= I8] 2.33/2.63 f1#(I10, I11) -> f2#(I10, I11) 2.33/2.63 R = 2.33/2.63 f6(x1, x2) -> f1(x1, x2) 2.33/2.63 f5(I0, I1) -> f2(I0, I1) 2.33/2.63 f4(I2, I3) -> f5(I2 + I3, I3) 2.33/2.63 f3(I4, I5) -> f4(I4, I5) [1 <= I5] 2.33/2.63 f3(I6, I7) -> f4(I6, I7) [1 + I7 <= 0] 2.33/2.63 f2(I8, I9) -> f3(I8, I9) [1 <= I8] 2.33/2.63 f1(I10, I11) -> f2(I10, I11) 2.33/2.63 2.33/2.63 The dependency graph for this problem is: 2.33/2.63 0 -> 6 2.33/2.63 1 -> 5 2.33/2.63 2 -> 1 2.33/2.63 3 -> 2 2.33/2.63 4 -> 2 2.33/2.63 5 -> 3, 4 2.33/2.63 6 -> 5 2.33/2.63 Where: 2.33/2.63 0) f6#(x1, x2) -> f1#(x1, x2) 2.33/2.63 1) f5#(I0, I1) -> f2#(I0, I1) 2.33/2.63 2) f4#(I2, I3) -> f5#(I2 + I3, I3) 2.33/2.63 3) f3#(I4, I5) -> f4#(I4, I5) [1 <= I5] 2.33/2.63 4) f3#(I6, I7) -> f4#(I6, I7) [1 + I7 <= 0] 2.33/2.63 5) f2#(I8, I9) -> f3#(I8, I9) [1 <= I8] 2.33/2.63 6) f1#(I10, I11) -> f2#(I10, I11) 2.33/2.63 2.33/2.63 We have the following SCCs. 2.33/2.63 { 1, 2, 3, 4, 5 } 2.33/2.63 2.33/2.63 DP problem for innermost termination. 2.33/2.63 P = 2.33/2.63 f5#(I0, I1) -> f2#(I0, I1) 2.33/2.63 f4#(I2, I3) -> f5#(I2 + I3, I3) 2.33/2.63 f3#(I4, I5) -> f4#(I4, I5) [1 <= I5] 2.33/2.63 f3#(I6, I7) -> f4#(I6, I7) [1 + I7 <= 0] 2.33/2.63 f2#(I8, I9) -> f3#(I8, I9) [1 <= I8] 2.33/2.63 R = 2.33/2.63 f6(x1, x2) -> f1(x1, x2) 2.33/2.63 f5(I0, I1) -> f2(I0, I1) 2.33/2.63 f4(I2, I3) -> f5(I2 + I3, I3) 2.33/2.63 f3(I4, I5) -> f4(I4, I5) [1 <= I5] 2.33/2.63 f3(I6, I7) -> f4(I6, I7) [1 + I7 <= 0] 2.33/2.63 f2(I8, I9) -> f3(I8, I9) [1 <= I8] 2.33/2.63 f1(I10, I11) -> f2(I10, I11) 2.33/2.63 2.33/5.61 EOF