10.88/10.78	MAYBE
10.88/10.78	
10.88/10.78	DP problem for innermost termination.
10.88/10.78	P =
10.88/10.78	  f5#(x1, x2, x3, x4, x5) -> f4#(x1, x2, x3, x4, x5) 
10.88/10.78	  f4#(I0, I1, I2, I3, I4) -> f1#(I0, I1, I2, 1, rnd5) [rnd5 = rnd5]
10.88/10.78	  f3#(I5, I6, I7, I8, I9) -> f1#(I5, I6, I7, I8, I9) 
10.88/10.78	  f1#(I10, I11, I12, I13, I14) -> f3#(I10, I11, I12, -1 + I13, -1 * I11 + I14) [1 + I10 <= I14 /\ 1 <= I13]
10.88/10.78	  f2#(I15, I16, I17, I18, I19) -> f1#(I15, I16, I17, I18, I19) 
10.88/10.78	  f1#(I20, I21, I22, I23, I24) -> f2#(I20, I21, I22, 1 + I23, I22 + I24) [I24 <= I20 /\ 1 <= I23]
10.88/10.78	R = 
10.88/10.78	  f5(x1, x2, x3, x4, x5) -> f4(x1, x2, x3, x4, x5) 
10.88/10.78	  f4(I0, I1, I2, I3, I4) -> f1(I0, I1, I2, 1, rnd5) [rnd5 = rnd5]
10.88/10.78	  f3(I5, I6, I7, I8, I9) -> f1(I5, I6, I7, I8, I9) 
10.88/10.78	  f1(I10, I11, I12, I13, I14) -> f3(I10, I11, I12, -1 + I13, -1 * I11 + I14) [1 + I10 <= I14 /\ 1 <= I13]
10.88/10.78	  f2(I15, I16, I17, I18, I19) -> f1(I15, I16, I17, I18, I19) 
10.88/10.78	  f1(I20, I21, I22, I23, I24) -> f2(I20, I21, I22, 1 + I23, I22 + I24) [I24 <= I20 /\ 1 <= I23]
10.88/10.78	
10.88/10.78	The dependency graph for this problem is:
10.88/10.78	  0 -> 1
10.88/10.78	  1 -> 3, 5
10.88/10.78	  2 -> 3, 5
10.88/10.78	  3 -> 2
10.88/10.78	  4 -> 3, 5
10.88/10.78	  5 -> 4
10.88/10.78	Where:
10.88/10.78	  0) f5#(x1, x2, x3, x4, x5) -> f4#(x1, x2, x3, x4, x5) 
10.88/10.78	  1) f4#(I0, I1, I2, I3, I4) -> f1#(I0, I1, I2, 1, rnd5) [rnd5 = rnd5]
10.88/10.78	  2) f3#(I5, I6, I7, I8, I9) -> f1#(I5, I6, I7, I8, I9) 
10.88/10.78	  3) f1#(I10, I11, I12, I13, I14) -> f3#(I10, I11, I12, -1 + I13, -1 * I11 + I14) [1 + I10 <= I14 /\ 1 <= I13]
10.88/10.78	  4) f2#(I15, I16, I17, I18, I19) -> f1#(I15, I16, I17, I18, I19) 
10.88/10.78	  5) f1#(I20, I21, I22, I23, I24) -> f2#(I20, I21, I22, 1 + I23, I22 + I24) [I24 <= I20 /\ 1 <= I23]
10.88/10.78	
10.88/10.78	We have the following SCCs.
10.88/10.78	  { 2, 3, 4, 5 }
10.88/10.78	
10.88/10.78	DP problem for innermost termination.
10.88/10.78	P =
10.88/10.78	  f3#(I5, I6, I7, I8, I9) -> f1#(I5, I6, I7, I8, I9) 
10.88/10.78	  f1#(I10, I11, I12, I13, I14) -> f3#(I10, I11, I12, -1 + I13, -1 * I11 + I14) [1 + I10 <= I14 /\ 1 <= I13]
10.88/10.78	  f2#(I15, I16, I17, I18, I19) -> f1#(I15, I16, I17, I18, I19) 
10.88/10.78	  f1#(I20, I21, I22, I23, I24) -> f2#(I20, I21, I22, 1 + I23, I22 + I24) [I24 <= I20 /\ 1 <= I23]
10.88/10.78	R = 
10.88/10.78	  f5(x1, x2, x3, x4, x5) -> f4(x1, x2, x3, x4, x5) 
10.88/10.78	  f4(I0, I1, I2, I3, I4) -> f1(I0, I1, I2, 1, rnd5) [rnd5 = rnd5]
10.88/10.78	  f3(I5, I6, I7, I8, I9) -> f1(I5, I6, I7, I8, I9) 
10.88/10.78	  f1(I10, I11, I12, I13, I14) -> f3(I10, I11, I12, -1 + I13, -1 * I11 + I14) [1 + I10 <= I14 /\ 1 <= I13]
10.88/10.78	  f2(I15, I16, I17, I18, I19) -> f1(I15, I16, I17, I18, I19) 
10.88/10.78	  f1(I20, I21, I22, I23, I24) -> f2(I20, I21, I22, 1 + I23, I22 + I24) [I24 <= I20 /\ 1 <= I23]
10.88/10.78	
10.88/13.75	EOF