1.56/1.66 MAYBE 1.56/1.66 1.56/1.66 DP problem for innermost termination. 1.56/1.66 P = 1.56/1.66 f4#(x1, x2, x3) -> f3#(x1, x2, x3) 1.56/1.66 f3#(I0, I1, I2) -> f1#(I0, 1, 1) 1.56/1.66 f2#(I3, I4, I5) -> f1#(I3, I4, I5) 1.56/1.66 f1#(I6, I7, I8) -> f2#(I6, I8, 1 + I8) [1 + I7 <= I6] 1.56/1.66 R = 1.56/1.66 f4(x1, x2, x3) -> f3(x1, x2, x3) 1.56/1.66 f3(I0, I1, I2) -> f1(I0, 1, 1) 1.56/1.66 f2(I3, I4, I5) -> f1(I3, I4, I5) 1.56/1.66 f1(I6, I7, I8) -> f2(I6, I8, 1 + I8) [1 + I7 <= I6] 1.56/1.66 1.56/1.66 The dependency graph for this problem is: 1.56/1.66 0 -> 1 1.56/1.66 1 -> 3 1.56/1.66 2 -> 3 1.56/1.66 3 -> 2 1.56/1.66 Where: 1.56/1.66 0) f4#(x1, x2, x3) -> f3#(x1, x2, x3) 1.56/1.66 1) f3#(I0, I1, I2) -> f1#(I0, 1, 1) 1.56/1.66 2) f2#(I3, I4, I5) -> f1#(I3, I4, I5) 1.56/1.66 3) f1#(I6, I7, I8) -> f2#(I6, I8, 1 + I8) [1 + I7 <= I6] 1.56/1.66 1.56/1.66 We have the following SCCs. 1.56/1.66 { 2, 3 } 1.56/1.66 1.56/1.66 DP problem for innermost termination. 1.56/1.66 P = 1.56/1.66 f2#(I3, I4, I5) -> f1#(I3, I4, I5) 1.56/1.66 f1#(I6, I7, I8) -> f2#(I6, I8, 1 + I8) [1 + I7 <= I6] 1.56/1.66 R = 1.56/1.66 f4(x1, x2, x3) -> f3(x1, x2, x3) 1.56/1.66 f3(I0, I1, I2) -> f1(I0, 1, 1) 1.56/1.66 f2(I3, I4, I5) -> f1(I3, I4, I5) 1.56/1.66 f1(I6, I7, I8) -> f2(I6, I8, 1 + I8) [1 + I7 <= I6] 1.56/1.66 1.66/1.67 EOF