3.61/3.70 MAYBE 3.61/3.70 3.61/3.70 DP problem for innermost termination. 3.61/3.70 P = 3.61/3.70 f6#(x1, x2) -> f1#(x1, x2) 3.61/3.70 f5#(I0, I1) -> f2#(I0, I1) 3.61/3.70 f2#(I2, I3) -> f5#(I2, rnd2) [0 <= -1 - I3 /\ y1 = y1 /\ rnd2 = -2 + y1] 3.61/3.70 f4#(I4, I5) -> f2#(I4, I5) 3.61/3.70 f2#(I6, I7) -> f4#(I6, I8) [-1 * I7 <= 0 /\ 0 <= -1 + I7 /\ I9 = I9 /\ I8 = 2 + I9] 3.61/3.70 f1#(I12, I13) -> f2#(I12, I13) 3.61/3.70 R = 3.61/3.70 f6(x1, x2) -> f1(x1, x2) 3.61/3.70 f5(I0, I1) -> f2(I0, I1) 3.61/3.70 f2(I2, I3) -> f5(I2, rnd2) [0 <= -1 - I3 /\ y1 = y1 /\ rnd2 = -2 + y1] 3.61/3.70 f4(I4, I5) -> f2(I4, I5) 3.61/3.70 f2(I6, I7) -> f4(I6, I8) [-1 * I7 <= 0 /\ 0 <= -1 + I7 /\ I9 = I9 /\ I8 = 2 + I9] 3.61/3.70 f2(I10, I11) -> f3(rnd1, I11) [rnd1 = rnd1 /\ I11 <= 0 /\ -1 * I11 <= 0] 3.61/3.70 f1(I12, I13) -> f2(I12, I13) 3.61/3.70 3.61/3.70 The dependency graph for this problem is: 3.61/3.70 0 -> 5 3.61/3.70 1 -> 2, 4 3.61/3.70 2 -> 1 3.61/3.70 3 -> 2, 4 3.61/3.70 4 -> 3 3.61/3.70 5 -> 2, 4 3.61/3.70 Where: 3.61/3.70 0) f6#(x1, x2) -> f1#(x1, x2) 3.61/3.70 1) f5#(I0, I1) -> f2#(I0, I1) 3.61/3.70 2) f2#(I2, I3) -> f5#(I2, rnd2) [0 <= -1 - I3 /\ y1 = y1 /\ rnd2 = -2 + y1] 3.61/3.70 3) f4#(I4, I5) -> f2#(I4, I5) 3.61/3.70 4) f2#(I6, I7) -> f4#(I6, I8) [-1 * I7 <= 0 /\ 0 <= -1 + I7 /\ I9 = I9 /\ I8 = 2 + I9] 3.61/3.70 5) f1#(I12, I13) -> f2#(I12, I13) 3.61/3.70 3.61/3.70 We have the following SCCs. 3.61/3.70 { 1, 2, 3, 4 } 3.61/3.70 3.61/3.70 DP problem for innermost termination. 3.61/3.70 P = 3.61/3.70 f5#(I0, I1) -> f2#(I0, I1) 3.61/3.70 f2#(I2, I3) -> f5#(I2, rnd2) [0 <= -1 - I3 /\ y1 = y1 /\ rnd2 = -2 + y1] 3.61/3.70 f4#(I4, I5) -> f2#(I4, I5) 3.61/3.70 f2#(I6, I7) -> f4#(I6, I8) [-1 * I7 <= 0 /\ 0 <= -1 + I7 /\ I9 = I9 /\ I8 = 2 + I9] 3.61/3.70 R = 3.61/3.70 f6(x1, x2) -> f1(x1, x2) 3.61/3.70 f5(I0, I1) -> f2(I0, I1) 3.61/3.70 f2(I2, I3) -> f5(I2, rnd2) [0 <= -1 - I3 /\ y1 = y1 /\ rnd2 = -2 + y1] 3.61/3.70 f4(I4, I5) -> f2(I4, I5) 3.61/3.70 f2(I6, I7) -> f4(I6, I8) [-1 * I7 <= 0 /\ 0 <= -1 + I7 /\ I9 = I9 /\ I8 = 2 + I9] 3.61/3.70 f2(I10, I11) -> f3(rnd1, I11) [rnd1 = rnd1 /\ I11 <= 0 /\ -1 * I11 <= 0] 3.61/3.70 f1(I12, I13) -> f2(I12, I13) 3.61/3.70 3.61/6.68 EOF