1.03/1.07	MAYBE
1.03/1.07	
1.03/1.07	DP problem for innermost termination.
1.03/1.07	P =
1.03/1.07	  init#(x1, x2, x3) -> f1#(rnd1, rnd2, rnd3) 
1.03/1.07	  f2#(I0, I1, I2) -> f2#(I1 + 1, I1 + 1, -1 * I2 - 1) [0 <= I1 - 1 /\ I1 + 1 <= I2 /\ -1 * I2 <= 1 /\ 0 <= I0 - 1 /\ I1 <= I2 - 1 /\ 1 <= I2 - 1 /\ 0 - I1 <= I2]
1.03/1.07	  f2#(I3, I4, I5) -> f2#(I4 + 1, I4 + 1, -1 * I5 + 1) [0 <= I4 - 1 /\ 0 <= I3 - 1 /\ I5 <= 0 - I4 - 1 /\ 0 <= I5 - 1]
1.03/1.07	  f2#(I6, I7, I8) -> f2#(I7 + 1, I7 + 1, -1 * I8 + 1) [0 <= I7 - 1 /\ 0 <= I6 - 1 /\ I8 <= 0 - I7 - 1 /\ I8 <= -1]
1.03/1.07	  f2#(I9, I10, I11) -> f2#(I10 + 1, I10 + 1, 0) [0 <= I9 - 1 /\ I11 <= I10 + 1 - 1 /\ 0 <= I10 - 1 /\ I11 <= I10 /\ 0 - I10 <= I11 /\ 0 <= I11 - 1]
1.03/1.07	  f2#(I12, I13, I14) -> f2#(I13 + 1, I13 + 1, 0) [0 <= I12 - 1 /\ I14 <= I13 + 1 - 1 /\ 0 <= I13 - 1 /\ I14 <= I13 /\ 0 - I13 <= I14 /\ I14 <= -1]
1.03/1.07	  f1#(I15, I16, I17) -> f2#(1, 1, I16) [-1 <= I16 - 1 /\ 0 <= I15 - 1]
1.03/1.07	R = 
1.03/1.07	  init(x1, x2, x3) -> f1(rnd1, rnd2, rnd3) 
1.03/1.07	  f2(I0, I1, I2) -> f2(I1 + 1, I1 + 1, -1 * I2 - 1) [0 <= I1 - 1 /\ I1 + 1 <= I2 /\ -1 * I2 <= 1 /\ 0 <= I0 - 1 /\ I1 <= I2 - 1 /\ 1 <= I2 - 1 /\ 0 - I1 <= I2]
1.03/1.07	  f2(I3, I4, I5) -> f2(I4 + 1, I4 + 1, -1 * I5 + 1) [0 <= I4 - 1 /\ 0 <= I3 - 1 /\ I5 <= 0 - I4 - 1 /\ 0 <= I5 - 1]
1.03/1.07	  f2(I6, I7, I8) -> f2(I7 + 1, I7 + 1, -1 * I8 + 1) [0 <= I7 - 1 /\ 0 <= I6 - 1 /\ I8 <= 0 - I7 - 1 /\ I8 <= -1]
1.03/1.07	  f2(I9, I10, I11) -> f2(I10 + 1, I10 + 1, 0) [0 <= I9 - 1 /\ I11 <= I10 + 1 - 1 /\ 0 <= I10 - 1 /\ I11 <= I10 /\ 0 - I10 <= I11 /\ 0 <= I11 - 1]
1.03/1.07	  f2(I12, I13, I14) -> f2(I13 + 1, I13 + 1, 0) [0 <= I12 - 1 /\ I14 <= I13 + 1 - 1 /\ 0 <= I13 - 1 /\ I14 <= I13 /\ 0 - I13 <= I14 /\ I14 <= -1]
1.03/1.07	  f1(I15, I16, I17) -> f2(1, 1, I16) [-1 <= I16 - 1 /\ 0 <= I15 - 1]
1.03/1.07	
1.03/1.07	The dependency graph for this problem is:
1.03/1.07	  0 -> 6
1.03/1.07	  1 -> 3
1.03/1.07	  2 -> 
1.03/1.07	  3 -> 1
1.03/1.07	  4 -> 
1.03/1.07	  5 -> 
1.03/1.07	  6 -> 1, 4
1.03/1.07	Where:
1.03/1.07	  0) init#(x1, x2, x3) -> f1#(rnd1, rnd2, rnd3) 
1.03/1.07	  1) f2#(I0, I1, I2) -> f2#(I1 + 1, I1 + 1, -1 * I2 - 1) [0 <= I1 - 1 /\ I1 + 1 <= I2 /\ -1 * I2 <= 1 /\ 0 <= I0 - 1 /\ I1 <= I2 - 1 /\ 1 <= I2 - 1 /\ 0 - I1 <= I2]
1.03/1.07	  2) f2#(I3, I4, I5) -> f2#(I4 + 1, I4 + 1, -1 * I5 + 1) [0 <= I4 - 1 /\ 0 <= I3 - 1 /\ I5 <= 0 - I4 - 1 /\ 0 <= I5 - 1]
1.03/1.07	  3) f2#(I6, I7, I8) -> f2#(I7 + 1, I7 + 1, -1 * I8 + 1) [0 <= I7 - 1 /\ 0 <= I6 - 1 /\ I8 <= 0 - I7 - 1 /\ I8 <= -1]
1.03/1.07	  4) f2#(I9, I10, I11) -> f2#(I10 + 1, I10 + 1, 0) [0 <= I9 - 1 /\ I11 <= I10 + 1 - 1 /\ 0 <= I10 - 1 /\ I11 <= I10 /\ 0 - I10 <= I11 /\ 0 <= I11 - 1]
1.03/1.07	  5) f2#(I12, I13, I14) -> f2#(I13 + 1, I13 + 1, 0) [0 <= I12 - 1 /\ I14 <= I13 + 1 - 1 /\ 0 <= I13 - 1 /\ I14 <= I13 /\ 0 - I13 <= I14 /\ I14 <= -1]
1.03/1.07	  6) f1#(I15, I16, I17) -> f2#(1, 1, I16) [-1 <= I16 - 1 /\ 0 <= I15 - 1]
1.03/1.07	
1.03/1.07	We have the following SCCs.
1.03/1.07	  { 1, 3 }
1.03/1.07	
1.03/1.07	DP problem for innermost termination.
1.03/1.07	P =
1.03/1.07	  f2#(I0, I1, I2) -> f2#(I1 + 1, I1 + 1, -1 * I2 - 1) [0 <= I1 - 1 /\ I1 + 1 <= I2 /\ -1 * I2 <= 1 /\ 0 <= I0 - 1 /\ I1 <= I2 - 1 /\ 1 <= I2 - 1 /\ 0 - I1 <= I2]
1.03/1.07	  f2#(I6, I7, I8) -> f2#(I7 + 1, I7 + 1, -1 * I8 + 1) [0 <= I7 - 1 /\ 0 <= I6 - 1 /\ I8 <= 0 - I7 - 1 /\ I8 <= -1]
1.03/1.07	R = 
1.03/1.07	  init(x1, x2, x3) -> f1(rnd1, rnd2, rnd3) 
1.03/1.07	  f2(I0, I1, I2) -> f2(I1 + 1, I1 + 1, -1 * I2 - 1) [0 <= I1 - 1 /\ I1 + 1 <= I2 /\ -1 * I2 <= 1 /\ 0 <= I0 - 1 /\ I1 <= I2 - 1 /\ 1 <= I2 - 1 /\ 0 - I1 <= I2]
1.03/1.07	  f2(I3, I4, I5) -> f2(I4 + 1, I4 + 1, -1 * I5 + 1) [0 <= I4 - 1 /\ 0 <= I3 - 1 /\ I5 <= 0 - I4 - 1 /\ 0 <= I5 - 1]
1.03/1.07	  f2(I6, I7, I8) -> f2(I7 + 1, I7 + 1, -1 * I8 + 1) [0 <= I7 - 1 /\ 0 <= I6 - 1 /\ I8 <= 0 - I7 - 1 /\ I8 <= -1]
1.03/1.07	  f2(I9, I10, I11) -> f2(I10 + 1, I10 + 1, 0) [0 <= I9 - 1 /\ I11 <= I10 + 1 - 1 /\ 0 <= I10 - 1 /\ I11 <= I10 /\ 0 - I10 <= I11 /\ 0 <= I11 - 1]
1.03/1.07	  f2(I12, I13, I14) -> f2(I13 + 1, I13 + 1, 0) [0 <= I12 - 1 /\ I14 <= I13 + 1 - 1 /\ 0 <= I13 - 1 /\ I14 <= I13 /\ 0 - I13 <= I14 /\ I14 <= -1]
1.03/1.07	  f1(I15, I16, I17) -> f2(1, 1, I16) [-1 <= I16 - 1 /\ 0 <= I15 - 1]
1.03/1.07	
1.03/4.05	EOF