20.54/20.35	MAYBE
20.54/20.35	
20.54/20.35	DP problem for innermost termination.
20.54/20.35	P =
20.54/20.35	  f8#(x1, x2, x3, x4, x5) -> f7#(x1, x2, x3, x4, x5) 
20.54/20.35	  f7#(I0, I1, I2, I3, I4) -> f3#(I0, I1, I2, I3, I4) [I0 <= 0]
20.54/20.35	  f3#(I5, I6, I7, I8, I9) -> f6#(I5, I6, I7, I8, I9) [1 <= I9 /\ 1 <= I8]
20.54/20.35	  f6#(I10, I11, I12, I13, I14) -> f5#(I10, I11, I12, -1 + I13, I14) 
20.54/20.35	  f6#(I15, I16, I17, I18, I19) -> f5#(I15, I16, I17, I18, -1 + I19) 
20.54/20.35	  f5#(I20, I21, I22, I23, I24) -> f1#(I20, I21, I22, I23, I24) [1 <= I20]
20.54/20.35	  f5#(I25, I26, I27, I28, I29) -> f4#(I25, I26, I27, I28, I29) [I25 <= 0]
20.54/20.35	  f4#(I30, I31, I32, I33, I34) -> f3#(1, I33, I34, I33, I34) 
20.54/20.35	  f4#(I35, I36, I37, I38, I39) -> f3#(I35, I36, I37, I38, I39) [I35 <= 0]
20.54/20.35	  f1#(I40, I41, I42, I43, I44) -> f3#(I40, I41, I42, I43, I44) 
20.54/20.35	R = 
20.54/20.35	  f8(x1, x2, x3, x4, x5) -> f7(x1, x2, x3, x4, x5) 
20.54/20.35	  f7(I0, I1, I2, I3, I4) -> f3(I0, I1, I2, I3, I4) [I0 <= 0]
20.54/20.35	  f3(I5, I6, I7, I8, I9) -> f6(I5, I6, I7, I8, I9) [1 <= I9 /\ 1 <= I8]
20.54/20.35	  f6(I10, I11, I12, I13, I14) -> f5(I10, I11, I12, -1 + I13, I14) 
20.54/20.35	  f6(I15, I16, I17, I18, I19) -> f5(I15, I16, I17, I18, -1 + I19) 
20.54/20.35	  f5(I20, I21, I22, I23, I24) -> f1(I20, I21, I22, I23, I24) [1 <= I20]
20.54/20.35	  f5(I25, I26, I27, I28, I29) -> f4(I25, I26, I27, I28, I29) [I25 <= 0]
20.54/20.35	  f4(I30, I31, I32, I33, I34) -> f3(1, I33, I34, I33, I34) 
20.54/20.35	  f4(I35, I36, I37, I38, I39) -> f3(I35, I36, I37, I38, I39) [I35 <= 0]
20.54/20.35	  f1(I40, I41, I42, I43, I44) -> f3(I40, I41, I42, I43, I44) 
20.54/20.35	  f1(I45, I46, I47, I48, I49) -> f2(I45, I46, I47, I48, I49) [I47 <= I49 /\ I46 <= I48]
20.54/20.35	
20.54/20.35	The dependency graph for this problem is:
20.54/20.35	  0 -> 1
20.54/20.35	  1 -> 2
20.54/20.35	  2 -> 3, 4
20.54/20.35	  3 -> 5, 6
20.54/20.35	  4 -> 5, 6
20.54/20.35	  5 -> 9
20.54/20.35	  6 -> 7, 8
20.54/20.35	  7 -> 2
20.54/20.35	  8 -> 2
20.54/20.35	  9 -> 2
20.54/20.35	Where:
20.54/20.35	  0) f8#(x1, x2, x3, x4, x5) -> f7#(x1, x2, x3, x4, x5) 
20.54/20.35	  1) f7#(I0, I1, I2, I3, I4) -> f3#(I0, I1, I2, I3, I4) [I0 <= 0]
20.54/20.35	  2) f3#(I5, I6, I7, I8, I9) -> f6#(I5, I6, I7, I8, I9) [1 <= I9 /\ 1 <= I8]
20.54/20.35	  3) f6#(I10, I11, I12, I13, I14) -> f5#(I10, I11, I12, -1 + I13, I14) 
20.54/20.35	  4) f6#(I15, I16, I17, I18, I19) -> f5#(I15, I16, I17, I18, -1 + I19) 
20.54/20.35	  5) f5#(I20, I21, I22, I23, I24) -> f1#(I20, I21, I22, I23, I24) [1 <= I20]
20.54/20.35	  6) f5#(I25, I26, I27, I28, I29) -> f4#(I25, I26, I27, I28, I29) [I25 <= 0]
20.54/20.35	  7) f4#(I30, I31, I32, I33, I34) -> f3#(1, I33, I34, I33, I34) 
20.54/20.35	  8) f4#(I35, I36, I37, I38, I39) -> f3#(I35, I36, I37, I38, I39) [I35 <= 0]
20.54/20.35	  9) f1#(I40, I41, I42, I43, I44) -> f3#(I40, I41, I42, I43, I44) 
20.54/20.35	
20.54/20.35	We have the following SCCs.
20.54/20.35	  { 2, 3, 4, 5, 6, 7, 8, 9 }
20.54/20.35	
20.54/20.35	DP problem for innermost termination.
20.54/20.35	P =
20.54/20.35	  f3#(I5, I6, I7, I8, I9) -> f6#(I5, I6, I7, I8, I9) [1 <= I9 /\ 1 <= I8]
20.54/20.35	  f6#(I10, I11, I12, I13, I14) -> f5#(I10, I11, I12, -1 + I13, I14) 
20.54/20.35	  f6#(I15, I16, I17, I18, I19) -> f5#(I15, I16, I17, I18, -1 + I19) 
20.54/20.35	  f5#(I20, I21, I22, I23, I24) -> f1#(I20, I21, I22, I23, I24) [1 <= I20]
20.54/20.35	  f5#(I25, I26, I27, I28, I29) -> f4#(I25, I26, I27, I28, I29) [I25 <= 0]
20.54/20.35	  f4#(I30, I31, I32, I33, I34) -> f3#(1, I33, I34, I33, I34) 
20.54/20.35	  f4#(I35, I36, I37, I38, I39) -> f3#(I35, I36, I37, I38, I39) [I35 <= 0]
20.54/20.35	  f1#(I40, I41, I42, I43, I44) -> f3#(I40, I41, I42, I43, I44) 
20.54/20.35	R = 
20.54/20.35	  f8(x1, x2, x3, x4, x5) -> f7(x1, x2, x3, x4, x5) 
20.54/20.35	  f7(I0, I1, I2, I3, I4) -> f3(I0, I1, I2, I3, I4) [I0 <= 0]
20.54/20.35	  f3(I5, I6, I7, I8, I9) -> f6(I5, I6, I7, I8, I9) [1 <= I9 /\ 1 <= I8]
20.54/20.35	  f6(I10, I11, I12, I13, I14) -> f5(I10, I11, I12, -1 + I13, I14) 
20.54/20.35	  f6(I15, I16, I17, I18, I19) -> f5(I15, I16, I17, I18, -1 + I19) 
20.54/20.35	  f5(I20, I21, I22, I23, I24) -> f1(I20, I21, I22, I23, I24) [1 <= I20]
20.54/20.35	  f5(I25, I26, I27, I28, I29) -> f4(I25, I26, I27, I28, I29) [I25 <= 0]
20.54/20.35	  f4(I30, I31, I32, I33, I34) -> f3(1, I33, I34, I33, I34) 
20.54/20.35	  f4(I35, I36, I37, I38, I39) -> f3(I35, I36, I37, I38, I39) [I35 <= 0]
20.54/20.35	  f1(I40, I41, I42, I43, I44) -> f3(I40, I41, I42, I43, I44) 
20.54/20.35	  f1(I45, I46, I47, I48, I49) -> f2(I45, I46, I47, I48, I49) [I47 <= I49 /\ I46 <= I48]
20.54/20.35	
20.54/23.33	EOF