6.88/6.81	MAYBE
6.88/6.81	
6.88/6.81	DP problem for innermost termination.
6.88/6.81	P =
6.88/6.81	  f11#(x1, x2, x3, x4, x5) -> f10#(x1, x2, x3, x4, x5) 
6.88/6.81	  f10#(I0, I1, I2, I3, I4) -> f3#(0, rnd2, rnd3, rnd4, I4) [rnd2 = rnd3 /\ rnd3 = rnd4 /\ rnd4 = rnd4]
6.88/6.81	  f5#(I5, I6, I7, I8, I9) -> f6#(I5, I6, I7, I8, I9) 
6.88/6.81	  f8#(I10, I11, I12, I13, I14) -> f5#(I10, I11, I12, I13, I14) 
6.88/6.81	  f8#(I15, I16, I17, I18, I19) -> f9#(I15, I16, I17, I18, I19) 
6.88/6.81	  f8#(I20, I21, I22, I23, I24) -> f9#(I20, I21, I22, I23, I24) 
6.88/6.81	  f9#(I25, I26, I27, I28, I29) -> f2#(I25, I26, I27, I28, I29) 
6.88/6.81	  f2#(I30, I31, I32, I33, I34) -> f8#(I30, I31, I32, I33, I34) 
6.88/6.81	  f6#(I35, I36, I37, I38, I39) -> f4#(I35, I36, I37, I38, I39) 
6.88/6.81	  f6#(I45, I46, I47, I48, I49) -> f4#(I45, I46, I47, I48, I49) 
6.88/6.81	  f4#(I50, I51, I52, I53, I54) -> f5#(I50, I51, I52, I53, I54) 
6.88/6.81	  f3#(I55, I56, I57, I58, I59) -> f1#(I55, I56, I57, I58, I59) 
6.88/6.81	  f1#(I60, I61, I62, I63, I64) -> f3#(1 + I60, I61, I62, I63, rnd5) [rnd5 = rnd5 /\ 1 + I60 <= I61]
6.88/6.81	  f1#(I65, I66, I67, I68, I69) -> f2#(I65, I66, I67, I68, I69) [I66 <= I65]
6.88/6.81	R = 
6.88/6.81	  f11(x1, x2, x3, x4, x5) -> f10(x1, x2, x3, x4, x5) 
6.88/6.81	  f10(I0, I1, I2, I3, I4) -> f3(0, rnd2, rnd3, rnd4, I4) [rnd2 = rnd3 /\ rnd3 = rnd4 /\ rnd4 = rnd4]
6.88/6.81	  f5(I5, I6, I7, I8, I9) -> f6(I5, I6, I7, I8, I9) 
6.88/6.81	  f8(I10, I11, I12, I13, I14) -> f5(I10, I11, I12, I13, I14) 
6.88/6.81	  f8(I15, I16, I17, I18, I19) -> f9(I15, I16, I17, I18, I19) 
6.88/6.81	  f8(I20, I21, I22, I23, I24) -> f9(I20, I21, I22, I23, I24) 
6.88/6.81	  f9(I25, I26, I27, I28, I29) -> f2(I25, I26, I27, I28, I29) 
6.88/6.81	  f2(I30, I31, I32, I33, I34) -> f8(I30, I31, I32, I33, I34) 
6.88/6.81	  f6(I35, I36, I37, I38, I39) -> f4(I35, I36, I37, I38, I39) 
6.88/6.81	  f6(I40, I41, I42, I43, I44) -> f7(I40, I41, I42, I43, I44) 
6.88/6.81	  f6(I45, I46, I47, I48, I49) -> f4(I45, I46, I47, I48, I49) 
6.88/6.81	  f4(I50, I51, I52, I53, I54) -> f5(I50, I51, I52, I53, I54) 
6.88/6.81	  f3(I55, I56, I57, I58, I59) -> f1(I55, I56, I57, I58, I59) 
6.88/6.81	  f1(I60, I61, I62, I63, I64) -> f3(1 + I60, I61, I62, I63, rnd5) [rnd5 = rnd5 /\ 1 + I60 <= I61]
6.88/6.81	  f1(I65, I66, I67, I68, I69) -> f2(I65, I66, I67, I68, I69) [I66 <= I65]
6.88/6.81	
6.88/6.81	The dependency graph for this problem is:
6.88/6.81	  0 -> 1
6.88/6.81	  1 -> 11
6.88/6.81	  2 -> 8, 9
6.88/6.81	  3 -> 2
6.88/6.81	  4 -> 6
6.88/6.81	  5 -> 6
6.88/6.81	  6 -> 7
6.88/6.81	  7 -> 3, 4, 5
6.88/6.81	  8 -> 10
6.88/6.81	  9 -> 10
6.88/6.81	  10 -> 2
6.88/6.81	  11 -> 12, 13
6.88/6.81	  12 -> 11
6.88/6.81	  13 -> 7
6.88/6.81	Where:
6.88/6.81	  0) f11#(x1, x2, x3, x4, x5) -> f10#(x1, x2, x3, x4, x5) 
6.88/6.81	  1) f10#(I0, I1, I2, I3, I4) -> f3#(0, rnd2, rnd3, rnd4, I4) [rnd2 = rnd3 /\ rnd3 = rnd4 /\ rnd4 = rnd4]
6.88/6.81	  2) f5#(I5, I6, I7, I8, I9) -> f6#(I5, I6, I7, I8, I9) 
6.88/6.81	  3) f8#(I10, I11, I12, I13, I14) -> f5#(I10, I11, I12, I13, I14) 
6.88/6.81	  4) f8#(I15, I16, I17, I18, I19) -> f9#(I15, I16, I17, I18, I19) 
6.88/6.81	  5) f8#(I20, I21, I22, I23, I24) -> f9#(I20, I21, I22, I23, I24) 
6.88/6.81	  6) f9#(I25, I26, I27, I28, I29) -> f2#(I25, I26, I27, I28, I29) 
6.88/6.81	  7) f2#(I30, I31, I32, I33, I34) -> f8#(I30, I31, I32, I33, I34) 
6.88/6.81	  8) f6#(I35, I36, I37, I38, I39) -> f4#(I35, I36, I37, I38, I39) 
6.88/6.81	  9) f6#(I45, I46, I47, I48, I49) -> f4#(I45, I46, I47, I48, I49) 
6.88/6.81	  10) f4#(I50, I51, I52, I53, I54) -> f5#(I50, I51, I52, I53, I54) 
6.88/6.81	  11) f3#(I55, I56, I57, I58, I59) -> f1#(I55, I56, I57, I58, I59) 
6.88/6.81	  12) f1#(I60, I61, I62, I63, I64) -> f3#(1 + I60, I61, I62, I63, rnd5) [rnd5 = rnd5 /\ 1 + I60 <= I61]
6.88/6.81	  13) f1#(I65, I66, I67, I68, I69) -> f2#(I65, I66, I67, I68, I69) [I66 <= I65]
6.88/6.81	
6.88/6.81	We have the following SCCs.
6.88/6.81	  { 11, 12 }
6.88/6.81	  { 4, 5, 6, 7 }
6.88/6.81	  { 2, 8, 9, 10 }
6.88/6.81	
6.88/6.81	DP problem for innermost termination.
6.88/6.81	P =
6.88/6.81	  f5#(I5, I6, I7, I8, I9) -> f6#(I5, I6, I7, I8, I9) 
6.88/6.81	  f6#(I35, I36, I37, I38, I39) -> f4#(I35, I36, I37, I38, I39) 
6.88/6.81	  f6#(I45, I46, I47, I48, I49) -> f4#(I45, I46, I47, I48, I49) 
6.88/6.81	  f4#(I50, I51, I52, I53, I54) -> f5#(I50, I51, I52, I53, I54) 
6.88/6.81	R = 
6.88/6.81	  f11(x1, x2, x3, x4, x5) -> f10(x1, x2, x3, x4, x5) 
6.88/6.81	  f10(I0, I1, I2, I3, I4) -> f3(0, rnd2, rnd3, rnd4, I4) [rnd2 = rnd3 /\ rnd3 = rnd4 /\ rnd4 = rnd4]
6.88/6.81	  f5(I5, I6, I7, I8, I9) -> f6(I5, I6, I7, I8, I9) 
6.88/6.81	  f8(I10, I11, I12, I13, I14) -> f5(I10, I11, I12, I13, I14) 
6.88/6.81	  f8(I15, I16, I17, I18, I19) -> f9(I15, I16, I17, I18, I19) 
6.88/6.81	  f8(I20, I21, I22, I23, I24) -> f9(I20, I21, I22, I23, I24) 
6.88/6.81	  f9(I25, I26, I27, I28, I29) -> f2(I25, I26, I27, I28, I29) 
6.88/6.81	  f2(I30, I31, I32, I33, I34) -> f8(I30, I31, I32, I33, I34) 
6.88/6.81	  f6(I35, I36, I37, I38, I39) -> f4(I35, I36, I37, I38, I39) 
6.88/6.81	  f6(I40, I41, I42, I43, I44) -> f7(I40, I41, I42, I43, I44) 
6.88/6.81	  f6(I45, I46, I47, I48, I49) -> f4(I45, I46, I47, I48, I49) 
6.88/6.81	  f4(I50, I51, I52, I53, I54) -> f5(I50, I51, I52, I53, I54) 
6.88/6.81	  f3(I55, I56, I57, I58, I59) -> f1(I55, I56, I57, I58, I59) 
6.88/6.81	  f1(I60, I61, I62, I63, I64) -> f3(1 + I60, I61, I62, I63, rnd5) [rnd5 = rnd5 /\ 1 + I60 <= I61]
6.88/6.81	  f1(I65, I66, I67, I68, I69) -> f2(I65, I66, I67, I68, I69) [I66 <= I65]
6.88/6.81	
6.88/9.79	EOF