44.80/44.19	MAYBE
44.80/44.19	
44.80/44.19	DP problem for innermost termination.
44.80/44.19	P =
44.80/44.19	  f8#(x1, x2, x3, x4, x5, x6, x7, x8, x9) -> f1#(x1, x2, x3, x4, x5, x6, x7, x8, x9) 
44.80/44.19	  f7#(I0, I1, I2, I3, I4, I5, I6, I7, I8) -> f2#(I0, I1, I2, I3, I4, I5, I6, I7, I8) 
44.80/44.19	  f6#(I9, I10, I11, I12, I13, I14, I15, I16, I17) -> f7#(I9, I10, I11, I12, rnd5, I14, I15, I16, I17) [y1 = I10 /\ rnd5 = rnd5]
44.80/44.19	  f5#(I18, I19, I20, I21, I22, I23, I24, I25, I26) -> f6#(I18, I19, I20, I21, I22, I23, I24, I25, I26) [1 <= I24]
44.80/44.19	  f5#(I27, I28, I29, I30, I31, I32, I33, I34, I35) -> f6#(I27, I28, I29, I30, I31, I32, I33, I34, I35) [1 + I33 <= 0]
44.80/44.19	  f2#(I36, I37, I38, I39, I40, I41, I42, I43, I44) -> f5#(I36, I37, I38, rnd4, I40, rnd6, rnd7, I43, I44) [y2 = I37 /\ I45 = I38 /\ 0 <= -1 + I45 - y2 /\ rnd6 = rnd6 /\ rnd4 = rnd4 /\ rnd7 = rnd7]
44.80/44.19	  f4#(I46, I47, I48, I49, I50, I51, I52, I53, I54) -> f2#(I46, I47, I48, I49, I50, I51, I52, I53, I54) 
44.80/44.19	  f2#(I55, I56, I57, I58, I59, I60, I61, I62, I63) -> f4#(I55, I56, I57, I64, I59, I65, I66, I62, I63) [I67 = I56 /\ I68 = I57 /\ 0 <= -1 + I68 - I67 /\ I65 = I65 /\ I64 = I64 /\ I66 = I66 /\ I66 <= 0 /\ 0 <= I66]
44.80/44.19	  f1#(I82, I83, I84, I85, I86, I87, I88, I89, I90) -> f2#(I82, I83, I84, I85, I86, I87, I88, rnd8, rnd9) [rnd8 = rnd8 /\ rnd9 = rnd9]
44.80/44.19	R = 
44.80/44.19	  f8(x1, x2, x3, x4, x5, x6, x7, x8, x9) -> f1(x1, x2, x3, x4, x5, x6, x7, x8, x9) 
44.80/44.19	  f7(I0, I1, I2, I3, I4, I5, I6, I7, I8) -> f2(I0, I1, I2, I3, I4, I5, I6, I7, I8) 
44.80/44.19	  f6(I9, I10, I11, I12, I13, I14, I15, I16, I17) -> f7(I9, I10, I11, I12, rnd5, I14, I15, I16, I17) [y1 = I10 /\ rnd5 = rnd5]
44.80/44.19	  f5(I18, I19, I20, I21, I22, I23, I24, I25, I26) -> f6(I18, I19, I20, I21, I22, I23, I24, I25, I26) [1 <= I24]
44.80/44.19	  f5(I27, I28, I29, I30, I31, I32, I33, I34, I35) -> f6(I27, I28, I29, I30, I31, I32, I33, I34, I35) [1 + I33 <= 0]
44.80/44.19	  f2(I36, I37, I38, I39, I40, I41, I42, I43, I44) -> f5(I36, I37, I38, rnd4, I40, rnd6, rnd7, I43, I44) [y2 = I37 /\ I45 = I38 /\ 0 <= -1 + I45 - y2 /\ rnd6 = rnd6 /\ rnd4 = rnd4 /\ rnd7 = rnd7]
44.80/44.19	  f4(I46, I47, I48, I49, I50, I51, I52, I53, I54) -> f2(I46, I47, I48, I49, I50, I51, I52, I53, I54) 
44.80/44.19	  f2(I55, I56, I57, I58, I59, I60, I61, I62, I63) -> f4(I55, I56, I57, I64, I59, I65, I66, I62, I63) [I67 = I56 /\ I68 = I57 /\ 0 <= -1 + I68 - I67 /\ I65 = I65 /\ I64 = I64 /\ I66 = I66 /\ I66 <= 0 /\ 0 <= I66]
44.80/44.19	  f2(I69, I70, I71, I72, I73, I74, I75, I76, I77) -> f3(rnd1, I70, I71, I78, I73, I79, I75, I76, I77) [I80 = I70 /\ I81 = I71 /\ I81 - I80 <= 0 /\ I79 = I79 /\ I78 = I78 /\ rnd1 = rnd1]
44.80/44.19	  f1(I82, I83, I84, I85, I86, I87, I88, I89, I90) -> f2(I82, I83, I84, I85, I86, I87, I88, rnd8, rnd9) [rnd8 = rnd8 /\ rnd9 = rnd9]
44.80/44.19	
44.80/44.19	The dependency graph for this problem is:
44.80/44.19	  0 -> 8
44.80/44.19	  1 -> 5, 7
44.80/44.19	  2 -> 1
44.80/44.19	  3 -> 2
44.80/44.19	  4 -> 2
44.80/44.19	  5 -> 3, 4
44.80/44.19	  6 -> 5, 7
44.80/44.19	  7 -> 6
44.80/44.19	  8 -> 5, 7
44.80/44.19	Where:
44.80/44.19	  0) f8#(x1, x2, x3, x4, x5, x6, x7, x8, x9) -> f1#(x1, x2, x3, x4, x5, x6, x7, x8, x9) 
44.80/44.19	  1) f7#(I0, I1, I2, I3, I4, I5, I6, I7, I8) -> f2#(I0, I1, I2, I3, I4, I5, I6, I7, I8) 
44.80/44.19	  2) f6#(I9, I10, I11, I12, I13, I14, I15, I16, I17) -> f7#(I9, I10, I11, I12, rnd5, I14, I15, I16, I17) [y1 = I10 /\ rnd5 = rnd5]
44.80/44.19	  3) f5#(I18, I19, I20, I21, I22, I23, I24, I25, I26) -> f6#(I18, I19, I20, I21, I22, I23, I24, I25, I26) [1 <= I24]
44.80/44.19	  4) f5#(I27, I28, I29, I30, I31, I32, I33, I34, I35) -> f6#(I27, I28, I29, I30, I31, I32, I33, I34, I35) [1 + I33 <= 0]
44.80/44.19	  5) f2#(I36, I37, I38, I39, I40, I41, I42, I43, I44) -> f5#(I36, I37, I38, rnd4, I40, rnd6, rnd7, I43, I44) [y2 = I37 /\ I45 = I38 /\ 0 <= -1 + I45 - y2 /\ rnd6 = rnd6 /\ rnd4 = rnd4 /\ rnd7 = rnd7]
44.80/44.19	  6) f4#(I46, I47, I48, I49, I50, I51, I52, I53, I54) -> f2#(I46, I47, I48, I49, I50, I51, I52, I53, I54) 
44.80/44.19	  7) f2#(I55, I56, I57, I58, I59, I60, I61, I62, I63) -> f4#(I55, I56, I57, I64, I59, I65, I66, I62, I63) [I67 = I56 /\ I68 = I57 /\ 0 <= -1 + I68 - I67 /\ I65 = I65 /\ I64 = I64 /\ I66 = I66 /\ I66 <= 0 /\ 0 <= I66]
44.80/44.19	  8) f1#(I82, I83, I84, I85, I86, I87, I88, I89, I90) -> f2#(I82, I83, I84, I85, I86, I87, I88, rnd8, rnd9) [rnd8 = rnd8 /\ rnd9 = rnd9]
44.80/44.19	
44.80/44.19	We have the following SCCs.
44.80/44.19	  { 1, 2, 3, 4, 5, 6, 7 }
44.80/44.19	
44.80/44.19	DP problem for innermost termination.
44.80/44.19	P =
44.80/44.19	  f7#(I0, I1, I2, I3, I4, I5, I6, I7, I8) -> f2#(I0, I1, I2, I3, I4, I5, I6, I7, I8) 
44.80/44.19	  f6#(I9, I10, I11, I12, I13, I14, I15, I16, I17) -> f7#(I9, I10, I11, I12, rnd5, I14, I15, I16, I17) [y1 = I10 /\ rnd5 = rnd5]
44.80/44.19	  f5#(I18, I19, I20, I21, I22, I23, I24, I25, I26) -> f6#(I18, I19, I20, I21, I22, I23, I24, I25, I26) [1 <= I24]
44.80/44.19	  f5#(I27, I28, I29, I30, I31, I32, I33, I34, I35) -> f6#(I27, I28, I29, I30, I31, I32, I33, I34, I35) [1 + I33 <= 0]
44.80/44.19	  f2#(I36, I37, I38, I39, I40, I41, I42, I43, I44) -> f5#(I36, I37, I38, rnd4, I40, rnd6, rnd7, I43, I44) [y2 = I37 /\ I45 = I38 /\ 0 <= -1 + I45 - y2 /\ rnd6 = rnd6 /\ rnd4 = rnd4 /\ rnd7 = rnd7]
44.80/44.19	  f4#(I46, I47, I48, I49, I50, I51, I52, I53, I54) -> f2#(I46, I47, I48, I49, I50, I51, I52, I53, I54) 
44.80/44.19	  f2#(I55, I56, I57, I58, I59, I60, I61, I62, I63) -> f4#(I55, I56, I57, I64, I59, I65, I66, I62, I63) [I67 = I56 /\ I68 = I57 /\ 0 <= -1 + I68 - I67 /\ I65 = I65 /\ I64 = I64 /\ I66 = I66 /\ I66 <= 0 /\ 0 <= I66]
44.80/44.19	R = 
44.80/44.19	  f8(x1, x2, x3, x4, x5, x6, x7, x8, x9) -> f1(x1, x2, x3, x4, x5, x6, x7, x8, x9) 
44.80/44.19	  f7(I0, I1, I2, I3, I4, I5, I6, I7, I8) -> f2(I0, I1, I2, I3, I4, I5, I6, I7, I8) 
44.80/44.19	  f6(I9, I10, I11, I12, I13, I14, I15, I16, I17) -> f7(I9, I10, I11, I12, rnd5, I14, I15, I16, I17) [y1 = I10 /\ rnd5 = rnd5]
44.80/44.19	  f5(I18, I19, I20, I21, I22, I23, I24, I25, I26) -> f6(I18, I19, I20, I21, I22, I23, I24, I25, I26) [1 <= I24]
44.80/44.19	  f5(I27, I28, I29, I30, I31, I32, I33, I34, I35) -> f6(I27, I28, I29, I30, I31, I32, I33, I34, I35) [1 + I33 <= 0]
44.80/44.19	  f2(I36, I37, I38, I39, I40, I41, I42, I43, I44) -> f5(I36, I37, I38, rnd4, I40, rnd6, rnd7, I43, I44) [y2 = I37 /\ I45 = I38 /\ 0 <= -1 + I45 - y2 /\ rnd6 = rnd6 /\ rnd4 = rnd4 /\ rnd7 = rnd7]
44.80/44.19	  f4(I46, I47, I48, I49, I50, I51, I52, I53, I54) -> f2(I46, I47, I48, I49, I50, I51, I52, I53, I54) 
44.80/44.19	  f2(I55, I56, I57, I58, I59, I60, I61, I62, I63) -> f4(I55, I56, I57, I64, I59, I65, I66, I62, I63) [I67 = I56 /\ I68 = I57 /\ 0 <= -1 + I68 - I67 /\ I65 = I65 /\ I64 = I64 /\ I66 = I66 /\ I66 <= 0 /\ 0 <= I66]
44.80/44.19	  f2(I69, I70, I71, I72, I73, I74, I75, I76, I77) -> f3(rnd1, I70, I71, I78, I73, I79, I75, I76, I77) [I80 = I70 /\ I81 = I71 /\ I81 - I80 <= 0 /\ I79 = I79 /\ I78 = I78 /\ rnd1 = rnd1]
44.80/44.19	  f1(I82, I83, I84, I85, I86, I87, I88, I89, I90) -> f2(I82, I83, I84, I85, I86, I87, I88, rnd8, rnd9) [rnd8 = rnd8 /\ rnd9 = rnd9]
44.80/44.19	
44.80/47.17	EOF