0.79/0.82 MAYBE 0.79/0.82 0.79/0.82 DP problem for innermost termination. 0.79/0.82 P = 0.79/0.82 f5#(x1, x2) -> f4#(x1, x2) 0.79/0.82 f4#(I0, I1) -> f1#(I0, I1) [1 <= I1] 0.79/0.82 f3#(I2, I3) -> f1#(I2, I3) 0.79/0.82 f2#(I4, I5) -> f3#(I4, I5) [I4 = I4] 0.79/0.82 f1#(I6, I7) -> f2#(I6, -1 + I7) 0.79/0.82 R = 0.79/0.82 f5(x1, x2) -> f4(x1, x2) 0.79/0.82 f4(I0, I1) -> f1(I0, I1) [1 <= I1] 0.79/0.82 f3(I2, I3) -> f1(I2, I3) 0.79/0.82 f2(I4, I5) -> f3(I4, I5) [I4 = I4] 0.79/0.82 f1(I6, I7) -> f2(I6, -1 + I7) 0.79/0.82 0.79/0.82 The dependency graph for this problem is: 0.79/0.82 0 -> 1 0.79/0.82 1 -> 4 0.79/0.82 2 -> 4 0.79/0.82 3 -> 2 0.79/0.82 4 -> 3 0.79/0.82 Where: 0.79/0.82 0) f5#(x1, x2) -> f4#(x1, x2) 0.79/0.82 1) f4#(I0, I1) -> f1#(I0, I1) [1 <= I1] 0.79/0.82 2) f3#(I2, I3) -> f1#(I2, I3) 0.79/0.82 3) f2#(I4, I5) -> f3#(I4, I5) [I4 = I4] 0.79/0.82 4) f1#(I6, I7) -> f2#(I6, -1 + I7) 0.79/0.82 0.79/0.82 We have the following SCCs. 0.79/0.82 { 2, 3, 4 } 0.79/0.82 0.79/0.82 DP problem for innermost termination. 0.79/0.82 P = 0.79/0.82 f3#(I2, I3) -> f1#(I2, I3) 0.79/0.82 f2#(I4, I5) -> f3#(I4, I5) [I4 = I4] 0.79/0.82 f1#(I6, I7) -> f2#(I6, -1 + I7) 0.79/0.82 R = 0.79/0.82 f5(x1, x2) -> f4(x1, x2) 0.79/0.82 f4(I0, I1) -> f1(I0, I1) [1 <= I1] 0.79/0.82 f3(I2, I3) -> f1(I2, I3) 0.79/0.82 f2(I4, I5) -> f3(I4, I5) [I4 = I4] 0.79/0.82 f1(I6, I7) -> f2(I6, -1 + I7) 0.79/0.82 0.79/3.80 EOF