2.16/2.19	MAYBE
2.16/2.19	
2.16/2.19	DP problem for innermost termination.
2.16/2.19	P =
2.16/2.19	  init#(x1, x2, x3) -> f1#(rnd1, rnd2, rnd3) 
2.16/2.19	  f3#(I0, I1, I2) -> f2#(I0, I0 - 1, I1 + 1) [I1 = I2 /\ -1 <= I0 - 1]
2.16/2.19	  f2#(I3, I4, I5) -> f3#(I3, I5, I5) [I5 <= I4]
2.16/2.19	  f2#(I6, I7, I8) -> f3#(I6, I7, I8) [I7 <= I8 - 1]
2.16/2.19	  f1#(I9, I10, I11) -> f2#(I12, I13, I14) [I12 - 1 = I13 /\ 0 <= I9 - 1 /\ -1 <= I14 - 1 /\ -1 <= I10 - 1 /\ -1 <= I12 - 1]
2.16/2.19	R = 
2.16/2.19	  init(x1, x2, x3) -> f1(rnd1, rnd2, rnd3) 
2.16/2.19	  f3(I0, I1, I2) -> f2(I0, I0 - 1, I1 + 1) [I1 = I2 /\ -1 <= I0 - 1]
2.16/2.19	  f2(I3, I4, I5) -> f3(I3, I5, I5) [I5 <= I4]
2.16/2.19	  f2(I6, I7, I8) -> f3(I6, I7, I8) [I7 <= I8 - 1]
2.16/2.19	  f1(I9, I10, I11) -> f2(I12, I13, I14) [I12 - 1 = I13 /\ 0 <= I9 - 1 /\ -1 <= I14 - 1 /\ -1 <= I10 - 1 /\ -1 <= I12 - 1]
2.16/2.19	
2.16/2.19	The dependency graph for this problem is:
2.16/2.19	  0 -> 4
2.16/2.19	  1 -> 2, 3
2.16/2.19	  2 -> 1
2.16/2.19	  3 -> 
2.16/2.19	  4 -> 2, 3
2.16/2.19	Where:
2.16/2.19	  0) init#(x1, x2, x3) -> f1#(rnd1, rnd2, rnd3) 
2.16/2.19	  1) f3#(I0, I1, I2) -> f2#(I0, I0 - 1, I1 + 1) [I1 = I2 /\ -1 <= I0 - 1]
2.16/2.19	  2) f2#(I3, I4, I5) -> f3#(I3, I5, I5) [I5 <= I4]
2.16/2.19	  3) f2#(I6, I7, I8) -> f3#(I6, I7, I8) [I7 <= I8 - 1]
2.16/2.19	  4) f1#(I9, I10, I11) -> f2#(I12, I13, I14) [I12 - 1 = I13 /\ 0 <= I9 - 1 /\ -1 <= I14 - 1 /\ -1 <= I10 - 1 /\ -1 <= I12 - 1]
2.16/2.19	
2.16/2.19	We have the following SCCs.
2.16/2.19	  { 1, 2 }
2.16/2.19	
2.16/2.19	DP problem for innermost termination.
2.16/2.19	P =
2.16/2.19	  f3#(I0, I1, I2) -> f2#(I0, I0 - 1, I1 + 1) [I1 = I2 /\ -1 <= I0 - 1]
2.16/2.19	  f2#(I3, I4, I5) -> f3#(I3, I5, I5) [I5 <= I4]
2.16/2.19	R = 
2.16/2.19	  init(x1, x2, x3) -> f1(rnd1, rnd2, rnd3) 
2.16/2.19	  f3(I0, I1, I2) -> f2(I0, I0 - 1, I1 + 1) [I1 = I2 /\ -1 <= I0 - 1]
2.16/2.19	  f2(I3, I4, I5) -> f3(I3, I5, I5) [I5 <= I4]
2.16/2.19	  f2(I6, I7, I8) -> f3(I6, I7, I8) [I7 <= I8 - 1]
2.16/2.19	  f1(I9, I10, I11) -> f2(I12, I13, I14) [I12 - 1 = I13 /\ 0 <= I9 - 1 /\ -1 <= I14 - 1 /\ -1 <= I10 - 1 /\ -1 <= I12 - 1]
2.16/2.19	
2.16/2.19	EOF