1.37/1.41 MAYBE 1.37/1.41 1.37/1.41 DP problem for innermost termination. 1.37/1.41 P = 1.37/1.41 f4#(x1, x2) -> f3#(x1, x2) 1.37/1.41 f3#(I0, I1) -> f1#(I0, I1) 1.37/1.41 f2#(I2, I3) -> f1#(-1 + I2, I3) 1.37/1.41 f2#(I4, I5) -> f1#(rnd1, -1 + I5) [rnd1 = rnd1] 1.37/1.41 f1#(I6, I7) -> f2#(I6, I7) [1 <= I6] 1.37/1.41 R = 1.37/1.41 f4(x1, x2) -> f3(x1, x2) 1.37/1.41 f3(I0, I1) -> f1(I0, I1) 1.37/1.41 f2(I2, I3) -> f1(-1 + I2, I3) 1.37/1.41 f2(I4, I5) -> f1(rnd1, -1 + I5) [rnd1 = rnd1] 1.37/1.41 f1(I6, I7) -> f2(I6, I7) [1 <= I6] 1.37/1.41 1.37/1.41 The dependency graph for this problem is: 1.37/1.41 0 -> 1 1.37/1.41 1 -> 4 1.37/1.41 2 -> 4 1.37/1.41 3 -> 4 1.37/1.41 4 -> 2, 3 1.37/1.41 Where: 1.37/1.41 0) f4#(x1, x2) -> f3#(x1, x2) 1.37/1.41 1) f3#(I0, I1) -> f1#(I0, I1) 1.37/1.41 2) f2#(I2, I3) -> f1#(-1 + I2, I3) 1.37/1.41 3) f2#(I4, I5) -> f1#(rnd1, -1 + I5) [rnd1 = rnd1] 1.37/1.41 4) f1#(I6, I7) -> f2#(I6, I7) [1 <= I6] 1.37/1.41 1.37/1.41 We have the following SCCs. 1.37/1.41 { 2, 3, 4 } 1.37/1.41 1.37/1.41 DP problem for innermost termination. 1.37/1.41 P = 1.37/1.41 f2#(I2, I3) -> f1#(-1 + I2, I3) 1.37/1.41 f2#(I4, I5) -> f1#(rnd1, -1 + I5) [rnd1 = rnd1] 1.37/1.41 f1#(I6, I7) -> f2#(I6, I7) [1 <= I6] 1.37/1.41 R = 1.37/1.41 f4(x1, x2) -> f3(x1, x2) 1.37/1.41 f3(I0, I1) -> f1(I0, I1) 1.37/1.41 f2(I2, I3) -> f1(-1 + I2, I3) 1.37/1.41 f2(I4, I5) -> f1(rnd1, -1 + I5) [rnd1 = rnd1] 1.37/1.41 f1(I6, I7) -> f2(I6, I7) [1 <= I6] 1.37/1.41 1.37/4.39 EOF