1.41/1.49 MAYBE 1.41/1.49 1.41/1.49 DP problem for innermost termination. 1.41/1.49 P = 1.41/1.49 f6#(x1, x2) -> f5#(x1, x2) 1.41/1.49 f5#(I0, I1) -> f1#(I0, I1) 1.41/1.49 f4#(I2, I3) -> f1#(I2, I3) 1.41/1.49 f3#(I4, I5) -> f4#(I4, 0) 1.41/1.49 f2#(I6, I7) -> f3#(I6, I7) [I6 = I6] 1.41/1.49 f1#(I8, I9) -> f2#(I8, 1) [0 <= I9] 1.41/1.49 R = 1.41/1.49 f6(x1, x2) -> f5(x1, x2) 1.41/1.49 f5(I0, I1) -> f1(I0, I1) 1.41/1.49 f4(I2, I3) -> f1(I2, I3) 1.41/1.49 f3(I4, I5) -> f4(I4, 0) 1.41/1.49 f2(I6, I7) -> f3(I6, I7) [I6 = I6] 1.41/1.49 f1(I8, I9) -> f2(I8, 1) [0 <= I9] 1.41/1.49 1.41/1.49 The dependency graph for this problem is: 1.41/1.49 0 -> 1 1.41/1.49 1 -> 5 1.41/1.49 2 -> 5 1.41/1.49 3 -> 2 1.41/1.49 4 -> 3 1.41/1.49 5 -> 4 1.41/1.49 Where: 1.41/1.49 0) f6#(x1, x2) -> f5#(x1, x2) 1.41/1.49 1) f5#(I0, I1) -> f1#(I0, I1) 1.41/1.49 2) f4#(I2, I3) -> f1#(I2, I3) 1.41/1.49 3) f3#(I4, I5) -> f4#(I4, 0) 1.41/1.49 4) f2#(I6, I7) -> f3#(I6, I7) [I6 = I6] 1.41/1.49 5) f1#(I8, I9) -> f2#(I8, 1) [0 <= I9] 1.41/1.49 1.41/1.49 We have the following SCCs. 1.41/1.49 { 2, 3, 4, 5 } 1.41/1.49 1.41/1.49 DP problem for innermost termination. 1.41/1.49 P = 1.41/1.49 f4#(I2, I3) -> f1#(I2, I3) 1.41/1.49 f3#(I4, I5) -> f4#(I4, 0) 1.41/1.49 f2#(I6, I7) -> f3#(I6, I7) [I6 = I6] 1.41/1.49 f1#(I8, I9) -> f2#(I8, 1) [0 <= I9] 1.41/1.49 R = 1.41/1.49 f6(x1, x2) -> f5(x1, x2) 1.41/1.49 f5(I0, I1) -> f1(I0, I1) 1.41/1.49 f4(I2, I3) -> f1(I2, I3) 1.41/1.49 f3(I4, I5) -> f4(I4, 0) 1.41/1.49 f2(I6, I7) -> f3(I6, I7) [I6 = I6] 1.41/1.49 f1(I8, I9) -> f2(I8, 1) [0 <= I9] 1.41/1.49 1.41/4.47 EOF