3.39/3.41 MAYBE 3.39/3.41 3.39/3.41 DP problem for innermost termination. 3.39/3.41 P = 3.39/3.41 f6#(x1, x2) -> f1#(x1, x2) 3.39/3.41 f5#(I0, I1) -> f2#(I0, I1) 3.39/3.41 f2#(I2, I3) -> f5#(I2, rnd2) [0 <= -1 - I3 /\ y1 = y1 /\ rnd2 = -1 + y1] 3.39/3.41 f4#(I4, I5) -> f2#(I4, I5) 3.39/3.41 f2#(I6, I7) -> f4#(I6, I8) [-1 * I7 <= 0 /\ 0 <= -1 + I7 /\ I9 = I9 /\ I8 = 1 + I9] 3.39/3.41 f1#(I12, I13) -> f2#(I12, I13) 3.39/3.41 R = 3.39/3.41 f6(x1, x2) -> f1(x1, x2) 3.39/3.41 f5(I0, I1) -> f2(I0, I1) 3.39/3.41 f2(I2, I3) -> f5(I2, rnd2) [0 <= -1 - I3 /\ y1 = y1 /\ rnd2 = -1 + y1] 3.39/3.41 f4(I4, I5) -> f2(I4, I5) 3.39/3.41 f2(I6, I7) -> f4(I6, I8) [-1 * I7 <= 0 /\ 0 <= -1 + I7 /\ I9 = I9 /\ I8 = 1 + I9] 3.39/3.41 f2(I10, I11) -> f3(rnd1, I11) [rnd1 = rnd1 /\ I11 <= 0 /\ -1 * I11 <= 0] 3.39/3.41 f1(I12, I13) -> f2(I12, I13) 3.39/3.41 3.39/3.41 The dependency graph for this problem is: 3.39/3.41 0 -> 5 3.39/3.41 1 -> 2, 4 3.39/3.41 2 -> 1 3.39/3.41 3 -> 2, 4 3.39/3.41 4 -> 3 3.39/3.41 5 -> 2, 4 3.39/3.41 Where: 3.39/3.41 0) f6#(x1, x2) -> f1#(x1, x2) 3.39/3.41 1) f5#(I0, I1) -> f2#(I0, I1) 3.39/3.41 2) f2#(I2, I3) -> f5#(I2, rnd2) [0 <= -1 - I3 /\ y1 = y1 /\ rnd2 = -1 + y1] 3.39/3.41 3) f4#(I4, I5) -> f2#(I4, I5) 3.39/3.41 4) f2#(I6, I7) -> f4#(I6, I8) [-1 * I7 <= 0 /\ 0 <= -1 + I7 /\ I9 = I9 /\ I8 = 1 + I9] 3.39/3.41 5) f1#(I12, I13) -> f2#(I12, I13) 3.39/3.41 3.39/3.41 We have the following SCCs. 3.39/3.41 { 1, 2, 3, 4 } 3.39/3.41 3.39/3.41 DP problem for innermost termination. 3.39/3.41 P = 3.39/3.41 f5#(I0, I1) -> f2#(I0, I1) 3.39/3.41 f2#(I2, I3) -> f5#(I2, rnd2) [0 <= -1 - I3 /\ y1 = y1 /\ rnd2 = -1 + y1] 3.39/3.41 f4#(I4, I5) -> f2#(I4, I5) 3.39/3.41 f2#(I6, I7) -> f4#(I6, I8) [-1 * I7 <= 0 /\ 0 <= -1 + I7 /\ I9 = I9 /\ I8 = 1 + I9] 3.39/3.41 R = 3.39/3.41 f6(x1, x2) -> f1(x1, x2) 3.39/3.41 f5(I0, I1) -> f2(I0, I1) 3.39/3.41 f2(I2, I3) -> f5(I2, rnd2) [0 <= -1 - I3 /\ y1 = y1 /\ rnd2 = -1 + y1] 3.39/3.41 f4(I4, I5) -> f2(I4, I5) 3.39/3.41 f2(I6, I7) -> f4(I6, I8) [-1 * I7 <= 0 /\ 0 <= -1 + I7 /\ I9 = I9 /\ I8 = 1 + I9] 3.39/3.41 f2(I10, I11) -> f3(rnd1, I11) [rnd1 = rnd1 /\ I11 <= 0 /\ -1 * I11 <= 0] 3.39/3.41 f1(I12, I13) -> f2(I12, I13) 3.39/3.41 3.39/6.38 EOF