0.75/0.81	MAYBE
0.75/0.81	
0.75/0.81	DP problem for innermost termination.
0.75/0.81	P =
0.75/0.81	  init#(x1, x2, x3) -> f1#(rnd1, rnd2, rnd3) 
0.75/0.81	  f2#(I0, I1, I2) -> f2#(I0 - 1, I0, I0 - 1 + I0) [I0 = I1 /\ 0 <= I2 - 1]
0.75/0.81	  f2#(I3, I4, I5) -> f2#(I3, I4 - 1, I3 + I4 - 1) [I3 <= I4 - 1 /\ 0 <= I5 - 1]
0.75/0.81	  f2#(I6, I7, I8) -> f2#(I6 - 1, I7, I6 - 1 + I7) [I7 <= I6 - 1 /\ 0 <= I8 - 1]
0.75/0.81	  f1#(I9, I10, I11) -> f2#(I12, I13, I14) [I12 + I13 = I14 /\ 0 <= I9 - 1 /\ -1 <= I12 - 1 /\ -1 <= I10 - 1 /\ -1 <= I13 - 1]
0.75/0.81	R = 
0.75/0.81	  init(x1, x2, x3) -> f1(rnd1, rnd2, rnd3) 
0.75/0.81	  f2(I0, I1, I2) -> f2(I0 - 1, I0, I0 - 1 + I0) [I0 = I1 /\ 0 <= I2 - 1]
0.75/0.81	  f2(I3, I4, I5) -> f2(I3, I4 - 1, I3 + I4 - 1) [I3 <= I4 - 1 /\ 0 <= I5 - 1]
0.75/0.81	  f2(I6, I7, I8) -> f2(I6 - 1, I7, I6 - 1 + I7) [I7 <= I6 - 1 /\ 0 <= I8 - 1]
0.75/0.81	  f1(I9, I10, I11) -> f2(I12, I13, I14) [I12 + I13 = I14 /\ 0 <= I9 - 1 /\ -1 <= I12 - 1 /\ -1 <= I10 - 1 /\ -1 <= I13 - 1]
0.75/0.81	
0.75/0.81	The dependency graph for this problem is:
0.75/0.81	  0 -> 4
0.75/0.81	  1 -> 2
0.75/0.81	  2 -> 1, 2
0.75/0.81	  3 -> 1, 3
0.75/0.81	  4 -> 1, 2, 3
0.75/0.81	Where:
0.75/0.81	  0) init#(x1, x2, x3) -> f1#(rnd1, rnd2, rnd3) 
0.75/0.81	  1) f2#(I0, I1, I2) -> f2#(I0 - 1, I0, I0 - 1 + I0) [I0 = I1 /\ 0 <= I2 - 1]
0.75/0.81	  2) f2#(I3, I4, I5) -> f2#(I3, I4 - 1, I3 + I4 - 1) [I3 <= I4 - 1 /\ 0 <= I5 - 1]
0.75/0.81	  3) f2#(I6, I7, I8) -> f2#(I6 - 1, I7, I6 - 1 + I7) [I7 <= I6 - 1 /\ 0 <= I8 - 1]
0.75/0.81	  4) f1#(I9, I10, I11) -> f2#(I12, I13, I14) [I12 + I13 = I14 /\ 0 <= I9 - 1 /\ -1 <= I12 - 1 /\ -1 <= I10 - 1 /\ -1 <= I13 - 1]
0.75/0.81	
0.75/0.81	We have the following SCCs.
0.75/0.81	  { 3 }
0.75/0.81	  { 1, 2 }
0.75/0.81	
0.75/0.81	DP problem for innermost termination.
0.75/0.81	P =
0.75/0.81	  f2#(I0, I1, I2) -> f2#(I0 - 1, I0, I0 - 1 + I0) [I0 = I1 /\ 0 <= I2 - 1]
0.75/0.81	  f2#(I3, I4, I5) -> f2#(I3, I4 - 1, I3 + I4 - 1) [I3 <= I4 - 1 /\ 0 <= I5 - 1]
0.75/0.81	R = 
0.75/0.81	  init(x1, x2, x3) -> f1(rnd1, rnd2, rnd3) 
0.75/0.81	  f2(I0, I1, I2) -> f2(I0 - 1, I0, I0 - 1 + I0) [I0 = I1 /\ 0 <= I2 - 1]
0.75/0.81	  f2(I3, I4, I5) -> f2(I3, I4 - 1, I3 + I4 - 1) [I3 <= I4 - 1 /\ 0 <= I5 - 1]
0.75/0.81	  f2(I6, I7, I8) -> f2(I6 - 1, I7, I6 - 1 + I7) [I7 <= I6 - 1 /\ 0 <= I8 - 1]
0.75/0.81	  f1(I9, I10, I11) -> f2(I12, I13, I14) [I12 + I13 = I14 /\ 0 <= I9 - 1 /\ -1 <= I12 - 1 /\ -1 <= I10 - 1 /\ -1 <= I13 - 1]
0.75/0.81	
0.75/3.79	EOF