2.16/2.23	MAYBE
2.16/2.23	
2.16/2.23	DP problem for innermost termination.
2.16/2.23	P =
2.16/2.23	  f5#(x1, x2, x3, x4) -> f3#(x1, x2, x3, x4) 
2.16/2.23	  f3#(I0, I1, I2, I3) -> f1#(I0, I1, I2, I3) [-1 * I1 + I3 <= 0 /\ 0 <= -1 - I2 + I3 /\ 0 <= -1 - I1 + I2]
2.16/2.23	  f2#(I18, I19, I20, I21) -> f1#(I18, I19, I20, I21) 
2.16/2.23	  f1#(I22, I23, I24, I25) -> f2#(I22, 1 + I23, 1 + I24, -1 + I25) 
2.16/2.23	R = 
2.16/2.23	  f5(x1, x2, x3, x4) -> f3(x1, x2, x3, x4) 
2.16/2.23	  f3(I0, I1, I2, I3) -> f1(I0, I1, I2, I3) [-1 * I1 + I3 <= 0 /\ 0 <= -1 - I2 + I3 /\ 0 <= -1 - I1 + I2]
2.16/2.23	  f3(I4, I5, I6, I7) -> f4(rnd1, I5, I6, I7) [rnd1 = rnd1 /\ 0 <= -1 - I5 + I7 /\ 0 <= -1 - I6 + I7 /\ 0 <= -1 - I5 + I6]
2.16/2.23	  f3(I8, I9, I10, I11) -> f4(I12, I9, I10, I11) [I12 = I12 /\ -1 * I10 + I11 <= 0 /\ 0 <= -1 - I9 + I10]
2.16/2.23	  f3(I13, I14, I15, I16) -> f4(I17, I14, I15, I16) [I17 = I17 /\ -1 * I14 + I15 <= 0]
2.16/2.23	  f2(I18, I19, I20, I21) -> f1(I18, I19, I20, I21) 
2.16/2.23	  f1(I22, I23, I24, I25) -> f2(I22, 1 + I23, 1 + I24, -1 + I25) 
2.16/2.23	
2.16/2.23	The dependency graph for this problem is:
2.16/2.23	  0 -> 
2.16/2.23	  1 -> 
2.16/2.23	  2 -> 3
2.16/2.23	  3 -> 2
2.16/2.23	Where:
2.16/2.23	  0) f5#(x1, x2, x3, x4) -> f3#(x1, x2, x3, x4) 
2.16/2.24	  1) f3#(I0, I1, I2, I3) -> f1#(I0, I1, I2, I3) [-1 * I1 + I3 <= 0 /\ 0 <= -1 - I2 + I3 /\ 0 <= -1 - I1 + I2]
2.16/2.24	  2) f2#(I18, I19, I20, I21) -> f1#(I18, I19, I20, I21) 
2.16/2.24	  3) f1#(I22, I23, I24, I25) -> f2#(I22, 1 + I23, 1 + I24, -1 + I25) 
2.16/2.24	
2.16/2.24	We have the following SCCs.
2.16/2.24	  { 2, 3 }
2.16/2.24	
2.16/2.24	DP problem for innermost termination.
2.16/2.24	P =
2.16/2.24	  f2#(I18, I19, I20, I21) -> f1#(I18, I19, I20, I21) 
2.16/2.24	  f1#(I22, I23, I24, I25) -> f2#(I22, 1 + I23, 1 + I24, -1 + I25) 
2.16/2.24	R = 
2.16/2.24	  f5(x1, x2, x3, x4) -> f3(x1, x2, x3, x4) 
2.16/2.24	  f3(I0, I1, I2, I3) -> f1(I0, I1, I2, I3) [-1 * I1 + I3 <= 0 /\ 0 <= -1 - I2 + I3 /\ 0 <= -1 - I1 + I2]
2.16/2.24	  f3(I4, I5, I6, I7) -> f4(rnd1, I5, I6, I7) [rnd1 = rnd1 /\ 0 <= -1 - I5 + I7 /\ 0 <= -1 - I6 + I7 /\ 0 <= -1 - I5 + I6]
2.16/2.24	  f3(I8, I9, I10, I11) -> f4(I12, I9, I10, I11) [I12 = I12 /\ -1 * I10 + I11 <= 0 /\ 0 <= -1 - I9 + I10]
2.16/2.24	  f3(I13, I14, I15, I16) -> f4(I17, I14, I15, I16) [I17 = I17 /\ -1 * I14 + I15 <= 0]
2.16/2.24	  f2(I18, I19, I20, I21) -> f1(I18, I19, I20, I21) 
2.16/2.24	  f1(I22, I23, I24, I25) -> f2(I22, 1 + I23, 1 + I24, -1 + I25) 
2.16/2.24	
2.16/5.21	EOF