1.20/1.25 MAYBE 1.20/1.25 1.20/1.25 DP problem for innermost termination. 1.20/1.25 P = 1.20/1.25 f4#(x1, x2) -> f3#(x1, x2) 1.20/1.25 f3#(I0, I1) -> f1#(I0, 3000) 1.20/1.25 f2#(I2, I3) -> f1#(I2, I3) 1.20/1.25 f1#(I4, I5) -> f2#(1000 + I4, I5) [111 <= 1000 + I4 /\ 1 + I5 <= 2000] 1.20/1.25 R = 1.20/1.25 f4(x1, x2) -> f3(x1, x2) 1.20/1.25 f3(I0, I1) -> f1(I0, 3000) 1.20/1.25 f2(I2, I3) -> f1(I2, I3) 1.20/1.25 f1(I4, I5) -> f2(1000 + I4, I5) [111 <= 1000 + I4 /\ 1 + I5 <= 2000] 1.20/1.25 1.20/1.25 The dependency graph for this problem is: 1.20/1.25 0 -> 1 1.20/1.25 1 -> 1.20/1.25 2 -> 3 1.20/1.25 3 -> 2 1.20/1.25 Where: 1.20/1.25 0) f4#(x1, x2) -> f3#(x1, x2) 1.20/1.25 1) f3#(I0, I1) -> f1#(I0, 3000) 1.20/1.25 2) f2#(I2, I3) -> f1#(I2, I3) 1.20/1.25 3) f1#(I4, I5) -> f2#(1000 + I4, I5) [111 <= 1000 + I4 /\ 1 + I5 <= 2000] 1.20/1.25 1.20/1.25 We have the following SCCs. 1.20/1.25 { 2, 3 } 1.20/1.25 1.20/1.25 DP problem for innermost termination. 1.20/1.25 P = 1.20/1.25 f2#(I2, I3) -> f1#(I2, I3) 1.20/1.25 f1#(I4, I5) -> f2#(1000 + I4, I5) [111 <= 1000 + I4 /\ 1 + I5 <= 2000] 1.20/1.25 R = 1.20/1.25 f4(x1, x2) -> f3(x1, x2) 1.20/1.25 f3(I0, I1) -> f1(I0, 3000) 1.20/1.25 f2(I2, I3) -> f1(I2, I3) 1.20/1.25 f1(I4, I5) -> f2(1000 + I4, I5) [111 <= 1000 + I4 /\ 1 + I5 <= 2000] 1.20/1.25 1.20/4.23 EOF