2.41/2.69 MAYBE 2.41/2.69 2.41/2.69 DP problem for innermost termination. 2.41/2.69 P = 2.41/2.69 f6#(x1, x2) -> f5#(x1, x2) 2.41/2.69 f5#(I0, I1) -> f1#(I0, I1) 2.41/2.69 f4#(I2, I3) -> f1#(-1 + I2, 1 + I3) 2.41/2.69 f4#(I4, I5) -> f1#(I4, 1 + I5) 2.41/2.69 f2#(I6, I7) -> f4#(I6, I7) 2.41/2.69 f3#(I8, I9) -> f2#(I8, I9) 2.41/2.69 f2#(I10, I11) -> f3#(I10, -1 + I11) [1 <= I11] 2.41/2.69 f1#(I12, I13) -> f2#(I12, I12) [1 <= I12] 2.41/2.69 R = 2.41/2.69 f6(x1, x2) -> f5(x1, x2) 2.41/2.69 f5(I0, I1) -> f1(I0, I1) 2.41/2.69 f4(I2, I3) -> f1(-1 + I2, 1 + I3) 2.41/2.69 f4(I4, I5) -> f1(I4, 1 + I5) 2.41/2.69 f2(I6, I7) -> f4(I6, I7) 2.41/2.69 f3(I8, I9) -> f2(I8, I9) 2.41/2.69 f2(I10, I11) -> f3(I10, -1 + I11) [1 <= I11] 2.41/2.69 f1(I12, I13) -> f2(I12, I12) [1 <= I12] 2.41/2.69 2.41/2.69 The dependency graph for this problem is: 2.41/2.69 0 -> 1 2.41/2.69 1 -> 7 2.41/2.69 2 -> 7 2.41/2.69 3 -> 7 2.41/2.69 4 -> 2, 3 2.41/2.69 5 -> 4, 6 2.41/2.69 6 -> 5 2.41/2.69 7 -> 4, 6 2.41/2.69 Where: 2.41/2.69 0) f6#(x1, x2) -> f5#(x1, x2) 2.41/2.69 1) f5#(I0, I1) -> f1#(I0, I1) 2.41/2.69 2) f4#(I2, I3) -> f1#(-1 + I2, 1 + I3) 2.41/2.69 3) f4#(I4, I5) -> f1#(I4, 1 + I5) 2.41/2.69 4) f2#(I6, I7) -> f4#(I6, I7) 2.41/2.69 5) f3#(I8, I9) -> f2#(I8, I9) 2.41/2.69 6) f2#(I10, I11) -> f3#(I10, -1 + I11) [1 <= I11] 2.41/2.69 7) f1#(I12, I13) -> f2#(I12, I12) [1 <= I12] 2.41/2.69 2.41/2.69 We have the following SCCs. 2.41/2.69 { 2, 3, 4, 5, 6, 7 } 2.41/2.69 2.41/2.69 DP problem for innermost termination. 2.41/2.69 P = 2.41/2.69 f4#(I2, I3) -> f1#(-1 + I2, 1 + I3) 2.41/2.69 f4#(I4, I5) -> f1#(I4, 1 + I5) 2.41/2.69 f2#(I6, I7) -> f4#(I6, I7) 2.41/2.69 f3#(I8, I9) -> f2#(I8, I9) 2.41/2.69 f2#(I10, I11) -> f3#(I10, -1 + I11) [1 <= I11] 2.41/2.69 f1#(I12, I13) -> f2#(I12, I12) [1 <= I12] 2.41/2.69 R = 2.41/2.69 f6(x1, x2) -> f5(x1, x2) 2.41/2.69 f5(I0, I1) -> f1(I0, I1) 2.41/2.69 f4(I2, I3) -> f1(-1 + I2, 1 + I3) 2.41/2.69 f4(I4, I5) -> f1(I4, 1 + I5) 2.41/2.69 f2(I6, I7) -> f4(I6, I7) 2.41/2.69 f3(I8, I9) -> f2(I8, I9) 2.41/2.69 f2(I10, I11) -> f3(I10, -1 + I11) [1 <= I11] 2.41/2.69 f1(I12, I13) -> f2(I12, I12) [1 <= I12] 2.41/2.69 2.41/5.67 EOF