1.83/1.84 MAYBE 1.83/1.84 1.83/1.84 DP problem for innermost termination. 1.83/1.84 P = 1.83/1.84 f5#(x1, x2, x3) -> f4#(x1, x2, x3) 1.83/1.84 f4#(I0, I1, I2) -> f1#(I0, I1, I0) 1.83/1.84 f3#(I3, I4, I5) -> f1#(I3, I4, I5) 1.83/1.84 f2#(I6, I7, I8) -> f3#(I6, I7, I8) [I7 = I7] 1.83/1.84 f1#(I9, I10, I11) -> f2#(I9, I10, -1 + I11) 1.83/1.84 R = 1.83/1.84 f5(x1, x2, x3) -> f4(x1, x2, x3) 1.83/1.84 f4(I0, I1, I2) -> f1(I0, I1, I0) 1.83/1.84 f3(I3, I4, I5) -> f1(I3, I4, I5) 1.83/1.84 f2(I6, I7, I8) -> f3(I6, I7, I8) [I7 = I7] 1.83/1.84 f1(I9, I10, I11) -> f2(I9, I10, -1 + I11) 1.83/1.84 1.83/1.84 The dependency graph for this problem is: 1.83/1.84 0 -> 1 1.83/1.84 1 -> 4 1.83/1.84 2 -> 4 1.83/1.84 3 -> 2 1.83/1.84 4 -> 3 1.83/1.84 Where: 1.83/1.84 0) f5#(x1, x2, x3) -> f4#(x1, x2, x3) 1.83/1.84 1) f4#(I0, I1, I2) -> f1#(I0, I1, I0) 1.83/1.84 2) f3#(I3, I4, I5) -> f1#(I3, I4, I5) 1.83/1.84 3) f2#(I6, I7, I8) -> f3#(I6, I7, I8) [I7 = I7] 1.83/1.84 4) f1#(I9, I10, I11) -> f2#(I9, I10, -1 + I11) 1.83/1.84 1.83/1.84 We have the following SCCs. 1.83/1.84 { 2, 3, 4 } 1.83/1.84 1.83/1.84 DP problem for innermost termination. 1.83/1.84 P = 1.83/1.84 f3#(I3, I4, I5) -> f1#(I3, I4, I5) 1.83/1.84 f2#(I6, I7, I8) -> f3#(I6, I7, I8) [I7 = I7] 1.83/1.84 f1#(I9, I10, I11) -> f2#(I9, I10, -1 + I11) 1.83/1.84 R = 1.83/1.84 f5(x1, x2, x3) -> f4(x1, x2, x3) 1.83/1.84 f4(I0, I1, I2) -> f1(I0, I1, I0) 1.83/1.84 f3(I3, I4, I5) -> f1(I3, I4, I5) 1.83/1.84 f2(I6, I7, I8) -> f3(I6, I7, I8) [I7 = I7] 1.83/1.84 f1(I9, I10, I11) -> f2(I9, I10, -1 + I11) 1.83/1.84 1.83/4.82 EOF