2.72/2.71 MAYBE 2.72/2.71 2.72/2.71 DP problem for innermost termination. 2.72/2.71 P = 2.72/2.71 f4#(x1, x2, x3) -> f3#(x1, x2, x3) 2.72/2.71 f3#(I0, I1, I2) -> f1#(I0, I1, I2) 2.72/2.71 f2#(I3, I4, I5) -> f1#(-1 + I3, I4, I5) 2.72/2.71 f2#(I6, I7, I8) -> f1#(I8, -1 + I7, I8) 2.72/2.71 f1#(I9, I10, I11) -> f2#(I9, I10, I11) [1 <= I9] 2.72/2.71 R = 2.72/2.71 f4(x1, x2, x3) -> f3(x1, x2, x3) 2.72/2.71 f3(I0, I1, I2) -> f1(I0, I1, I2) 2.72/2.71 f2(I3, I4, I5) -> f1(-1 + I3, I4, I5) 2.72/2.71 f2(I6, I7, I8) -> f1(I8, -1 + I7, I8) 2.72/2.71 f1(I9, I10, I11) -> f2(I9, I10, I11) [1 <= I9] 2.72/2.71 2.72/2.71 The dependency graph for this problem is: 2.72/2.71 0 -> 1 2.72/2.71 1 -> 4 2.72/2.71 2 -> 4 2.72/2.71 3 -> 4 2.72/2.71 4 -> 2, 3 2.72/2.71 Where: 2.72/2.71 0) f4#(x1, x2, x3) -> f3#(x1, x2, x3) 2.72/2.71 1) f3#(I0, I1, I2) -> f1#(I0, I1, I2) 2.72/2.71 2) f2#(I3, I4, I5) -> f1#(-1 + I3, I4, I5) 2.72/2.71 3) f2#(I6, I7, I8) -> f1#(I8, -1 + I7, I8) 2.72/2.71 4) f1#(I9, I10, I11) -> f2#(I9, I10, I11) [1 <= I9] 2.72/2.71 2.72/2.71 We have the following SCCs. 2.72/2.71 { 2, 3, 4 } 2.72/2.71 2.72/2.71 DP problem for innermost termination. 2.72/2.71 P = 2.72/2.71 f2#(I3, I4, I5) -> f1#(-1 + I3, I4, I5) 2.72/2.71 f2#(I6, I7, I8) -> f1#(I8, -1 + I7, I8) 2.72/2.71 f1#(I9, I10, I11) -> f2#(I9, I10, I11) [1 <= I9] 2.72/2.71 R = 2.72/2.71 f4(x1, x2, x3) -> f3(x1, x2, x3) 2.72/2.71 f3(I0, I1, I2) -> f1(I0, I1, I2) 2.72/2.71 f2(I3, I4, I5) -> f1(-1 + I3, I4, I5) 2.72/2.71 f2(I6, I7, I8) -> f1(I8, -1 + I7, I8) 2.72/2.71 f1(I9, I10, I11) -> f2(I9, I10, I11) [1 <= I9] 2.72/2.71 2.72/2.72 EOF