0.00/0.50 MAYBE 0.00/0.50 0.00/0.50 DP problem for innermost termination. 0.00/0.50 P = 0.00/0.50 f5#(x1, x2) -> f1#(x1, x2) 0.00/0.50 f4#(I0, I1) -> f2#(I0, I1) 0.00/0.50 f2#(I2, I3) -> f4#(1 + I2, 1 + I3) 0.00/0.50 f1#(I6, I7) -> f2#(0, 0) 0.00/0.50 R = 0.00/0.50 f5(x1, x2) -> f1(x1, x2) 0.00/0.50 f4(I0, I1) -> f2(I0, I1) 0.00/0.50 f2(I2, I3) -> f4(1 + I2, 1 + I3) 0.00/0.50 f2(I4, I5) -> f3(I4, I5) [1 + I5 <= I4] 0.00/0.50 f1(I6, I7) -> f2(0, 0) 0.00/0.50 0.00/0.50 The dependency graph for this problem is: 0.00/0.50 0 -> 3 0.00/0.50 1 -> 2 0.00/0.50 2 -> 1 0.00/0.50 3 -> 2 0.00/0.50 Where: 0.00/0.50 0) f5#(x1, x2) -> f1#(x1, x2) 0.00/0.50 1) f4#(I0, I1) -> f2#(I0, I1) 0.00/0.50 2) f2#(I2, I3) -> f4#(1 + I2, 1 + I3) 0.00/0.50 3) f1#(I6, I7) -> f2#(0, 0) 0.00/0.50 0.00/0.50 We have the following SCCs. 0.00/0.50 { 1, 2 } 0.00/0.50 0.00/0.50 DP problem for innermost termination. 0.00/0.50 P = 0.00/0.50 f4#(I0, I1) -> f2#(I0, I1) 0.00/0.50 f2#(I2, I3) -> f4#(1 + I2, 1 + I3) 0.00/0.50 R = 0.00/0.50 f5(x1, x2) -> f1(x1, x2) 0.00/0.50 f4(I0, I1) -> f2(I0, I1) 0.00/0.50 f2(I2, I3) -> f4(1 + I2, 1 + I3) 0.00/0.50 f2(I4, I5) -> f3(I4, I5) [1 + I5 <= I4] 0.00/0.50 f1(I6, I7) -> f2(0, 0) 0.00/0.50 0.00/3.48 EOF