0.49/0.62	MAYBE
0.49/0.62	
0.49/0.62	DP problem for innermost termination.
0.49/0.62	P =
0.49/0.62	  init#(x1, x2) -> f1#(rnd1, rnd2) 
0.49/0.62	  f2#(I0, I1) -> f2#(1, I1) [0 = I0 /\ 0 <= I1 - 1]
0.49/0.62	  f2#(I2, I3) -> f2#(0, I2 - 1) [I2 = I3 /\ 0 <= I2 - 1]
0.49/0.62	  f2#(I4, I5) -> f2#(I4 + 1, I5) [I4 <= I5 - 1 /\ 0 <= I4 - 1]
0.49/0.62	  f2#(I6, I7) -> f2#(0, 0) [0 = I7 /\ 0 = I6]
0.49/0.62	  f1#(I8, I9) -> f2#(I9, 20) [-1 <= I9 - 1 /\ 0 <= I8 - 1]
0.49/0.62	R = 
0.49/0.62	  init(x1, x2) -> f1(rnd1, rnd2) 
0.49/0.62	  f2(I0, I1) -> f2(1, I1) [0 = I0 /\ 0 <= I1 - 1]
0.49/0.62	  f2(I2, I3) -> f2(0, I2 - 1) [I2 = I3 /\ 0 <= I2 - 1]
0.49/0.62	  f2(I4, I5) -> f2(I4 + 1, I5) [I4 <= I5 - 1 /\ 0 <= I4 - 1]
0.49/0.62	  f2(I6, I7) -> f2(0, 0) [0 = I7 /\ 0 = I6]
0.49/0.62	  f1(I8, I9) -> f2(I9, 20) [-1 <= I9 - 1 /\ 0 <= I8 - 1]
0.49/0.62	
0.49/0.62	The dependency graph for this problem is:
0.49/0.62	  0 -> 5
0.49/0.62	  1 -> 2, 3
0.49/0.62	  2 -> 1, 4
0.49/0.62	  3 -> 2, 3
0.49/0.62	  4 -> 4
0.49/0.62	  5 -> 1, 2, 3
0.49/0.62	Where:
0.49/0.62	  0) init#(x1, x2) -> f1#(rnd1, rnd2) 
0.49/0.62	  1) f2#(I0, I1) -> f2#(1, I1) [0 = I0 /\ 0 <= I1 - 1]
0.49/0.62	  2) f2#(I2, I3) -> f2#(0, I2 - 1) [I2 = I3 /\ 0 <= I2 - 1]
0.49/0.62	  3) f2#(I4, I5) -> f2#(I4 + 1, I5) [I4 <= I5 - 1 /\ 0 <= I4 - 1]
0.49/0.62	  4) f2#(I6, I7) -> f2#(0, 0) [0 = I7 /\ 0 = I6]
0.49/0.62	  5) f1#(I8, I9) -> f2#(I9, 20) [-1 <= I9 - 1 /\ 0 <= I8 - 1]
0.49/0.62	
0.49/0.62	We have the following SCCs.
0.49/0.62	  { 1, 2, 3 }
0.49/0.62	  { 4 }
0.49/0.62	
0.49/0.62	DP problem for innermost termination.
0.49/0.62	P =
0.49/0.62	  f2#(I6, I7) -> f2#(0, 0) [0 = I7 /\ 0 = I6]
0.49/0.62	R = 
0.49/0.62	  init(x1, x2) -> f1(rnd1, rnd2) 
0.49/0.62	  f2(I0, I1) -> f2(1, I1) [0 = I0 /\ 0 <= I1 - 1]
0.49/0.62	  f2(I2, I3) -> f2(0, I2 - 1) [I2 = I3 /\ 0 <= I2 - 1]
0.49/0.62	  f2(I4, I5) -> f2(I4 + 1, I5) [I4 <= I5 - 1 /\ 0 <= I4 - 1]
0.49/0.62	  f2(I6, I7) -> f2(0, 0) [0 = I7 /\ 0 = I6]
0.49/0.62	  f1(I8, I9) -> f2(I9, 20) [-1 <= I9 - 1 /\ 0 <= I8 - 1]
0.49/0.62	
0.49/3.60	EOF