32.96/33.01	MAYBE
32.96/33.01	
32.96/33.01	DP problem for innermost termination.
32.96/33.01	P =
32.96/33.01	  f8#(x1, x2, x3, x4, x5, x6, x7, x8) -> f1#(x1, x2, x3, x4, x5, x6, x7, x8) 
32.96/33.01	  f7#(I0, I1, I2, I3, I4, I5, I6, I7) -> f2#(I0, I1, I2, I3, I4, I5, I6, I7) 
32.96/33.01	  f6#(I8, I9, I10, I11, I12, I13, I14, I15) -> f7#(I8, I9, I10, rnd4, I12, I13, I14, I15) [y1 = I9 /\ rnd4 = rnd4]
32.96/33.01	  f5#(I16, I17, I18, I19, I20, I21, I22, I23) -> f6#(I16, I17, I18, I19, I20, I21, I22, I23) [1 <= I21]
32.96/33.01	  f5#(I24, I25, I26, I27, I28, I29, I30, I31) -> f6#(I24, I25, I26, I27, I28, I29, I30, I31) [1 + I29 <= 0]
32.96/33.01	  f2#(I32, I33, I34, I35, I36, I37, I38, I39) -> f5#(I32, I33, rnd3, I35, I36, rnd6, I38, I39) [I40 = I33 /\ 0 <= -1 - I40 + I39 /\ rnd3 = rnd3 /\ rnd6 = rnd6]
32.96/33.01	  f4#(I41, I42, I43, I44, I45, I46, I47, I48) -> f2#(I41, I42, I43, I44, I45, I46, I47, I48) 
32.96/33.01	  f2#(I49, I50, I51, I52, I53, I54, I55, I56) -> f4#(I49, I50, I57, I52, I53, I58, I55, I56) [I59 = I50 /\ 0 <= -1 - I59 + I56 /\ I57 = I57 /\ I58 = I58 /\ I58 <= 0 /\ 0 <= I58]
32.96/33.01	  f1#(I70, I71, I72, I73, I74, I75, I76, I77) -> f2#(I70, I71, I72, I73, rnd5, I75, rnd7, I77) [rnd5 = rnd7 /\ rnd7 = rnd7]
32.96/33.01	R = 
32.96/33.01	  f8(x1, x2, x3, x4, x5, x6, x7, x8) -> f1(x1, x2, x3, x4, x5, x6, x7, x8) 
32.96/33.01	  f7(I0, I1, I2, I3, I4, I5, I6, I7) -> f2(I0, I1, I2, I3, I4, I5, I6, I7) 
32.96/33.01	  f6(I8, I9, I10, I11, I12, I13, I14, I15) -> f7(I8, I9, I10, rnd4, I12, I13, I14, I15) [y1 = I9 /\ rnd4 = rnd4]
32.96/33.01	  f5(I16, I17, I18, I19, I20, I21, I22, I23) -> f6(I16, I17, I18, I19, I20, I21, I22, I23) [1 <= I21]
32.96/33.01	  f5(I24, I25, I26, I27, I28, I29, I30, I31) -> f6(I24, I25, I26, I27, I28, I29, I30, I31) [1 + I29 <= 0]
32.96/33.01	  f2(I32, I33, I34, I35, I36, I37, I38, I39) -> f5(I32, I33, rnd3, I35, I36, rnd6, I38, I39) [I40 = I33 /\ 0 <= -1 - I40 + I39 /\ rnd3 = rnd3 /\ rnd6 = rnd6]
32.96/33.01	  f4(I41, I42, I43, I44, I45, I46, I47, I48) -> f2(I41, I42, I43, I44, I45, I46, I47, I48) 
32.96/33.01	  f2(I49, I50, I51, I52, I53, I54, I55, I56) -> f4(I49, I50, I57, I52, I53, I58, I55, I56) [I59 = I50 /\ 0 <= -1 - I59 + I56 /\ I57 = I57 /\ I58 = I58 /\ I58 <= 0 /\ 0 <= I58]
32.96/33.01	  f2(I60, I61, I62, I63, I64, I65, I66, I67) -> f3(rnd1, I61, I68, I63, I64, I65, I66, I67) [I69 = I61 /\ -1 * I69 + I67 <= 0 /\ I68 = I68 /\ rnd1 = rnd1]
32.96/33.01	  f1(I70, I71, I72, I73, I74, I75, I76, I77) -> f2(I70, I71, I72, I73, rnd5, I75, rnd7, I77) [rnd5 = rnd7 /\ rnd7 = rnd7]
32.96/33.01	
32.96/33.01	The dependency graph for this problem is:
32.96/33.01	  0 -> 8
32.96/33.01	  1 -> 5, 7
32.96/33.01	  2 -> 1
32.96/33.01	  3 -> 2
32.96/33.01	  4 -> 2
32.96/33.01	  5 -> 3, 4
32.96/33.01	  6 -> 5, 7
32.96/33.01	  7 -> 6
32.96/33.01	  8 -> 5, 7
32.96/33.01	Where:
32.96/33.01	  0) f8#(x1, x2, x3, x4, x5, x6, x7, x8) -> f1#(x1, x2, x3, x4, x5, x6, x7, x8) 
32.96/33.01	  1) f7#(I0, I1, I2, I3, I4, I5, I6, I7) -> f2#(I0, I1, I2, I3, I4, I5, I6, I7) 
32.96/33.01	  2) f6#(I8, I9, I10, I11, I12, I13, I14, I15) -> f7#(I8, I9, I10, rnd4, I12, I13, I14, I15) [y1 = I9 /\ rnd4 = rnd4]
32.96/33.01	  3) f5#(I16, I17, I18, I19, I20, I21, I22, I23) -> f6#(I16, I17, I18, I19, I20, I21, I22, I23) [1 <= I21]
32.96/33.01	  4) f5#(I24, I25, I26, I27, I28, I29, I30, I31) -> f6#(I24, I25, I26, I27, I28, I29, I30, I31) [1 + I29 <= 0]
32.96/33.01	  5) f2#(I32, I33, I34, I35, I36, I37, I38, I39) -> f5#(I32, I33, rnd3, I35, I36, rnd6, I38, I39) [I40 = I33 /\ 0 <= -1 - I40 + I39 /\ rnd3 = rnd3 /\ rnd6 = rnd6]
32.96/33.01	  6) f4#(I41, I42, I43, I44, I45, I46, I47, I48) -> f2#(I41, I42, I43, I44, I45, I46, I47, I48) 
32.96/33.01	  7) f2#(I49, I50, I51, I52, I53, I54, I55, I56) -> f4#(I49, I50, I57, I52, I53, I58, I55, I56) [I59 = I50 /\ 0 <= -1 - I59 + I56 /\ I57 = I57 /\ I58 = I58 /\ I58 <= 0 /\ 0 <= I58]
32.96/33.01	  8) f1#(I70, I71, I72, I73, I74, I75, I76, I77) -> f2#(I70, I71, I72, I73, rnd5, I75, rnd7, I77) [rnd5 = rnd7 /\ rnd7 = rnd7]
32.96/33.01	
32.96/33.01	We have the following SCCs.
32.96/33.01	  { 1, 2, 3, 4, 5, 6, 7 }
32.96/33.01	
32.96/33.01	DP problem for innermost termination.
32.96/33.01	P =
32.96/33.01	  f7#(I0, I1, I2, I3, I4, I5, I6, I7) -> f2#(I0, I1, I2, I3, I4, I5, I6, I7) 
32.96/33.01	  f6#(I8, I9, I10, I11, I12, I13, I14, I15) -> f7#(I8, I9, I10, rnd4, I12, I13, I14, I15) [y1 = I9 /\ rnd4 = rnd4]
32.96/33.01	  f5#(I16, I17, I18, I19, I20, I21, I22, I23) -> f6#(I16, I17, I18, I19, I20, I21, I22, I23) [1 <= I21]
32.96/33.01	  f5#(I24, I25, I26, I27, I28, I29, I30, I31) -> f6#(I24, I25, I26, I27, I28, I29, I30, I31) [1 + I29 <= 0]
32.96/33.01	  f2#(I32, I33, I34, I35, I36, I37, I38, I39) -> f5#(I32, I33, rnd3, I35, I36, rnd6, I38, I39) [I40 = I33 /\ 0 <= -1 - I40 + I39 /\ rnd3 = rnd3 /\ rnd6 = rnd6]
32.96/33.01	  f4#(I41, I42, I43, I44, I45, I46, I47, I48) -> f2#(I41, I42, I43, I44, I45, I46, I47, I48) 
32.96/33.01	  f2#(I49, I50, I51, I52, I53, I54, I55, I56) -> f4#(I49, I50, I57, I52, I53, I58, I55, I56) [I59 = I50 /\ 0 <= -1 - I59 + I56 /\ I57 = I57 /\ I58 = I58 /\ I58 <= 0 /\ 0 <= I58]
32.96/33.01	R = 
32.96/33.01	  f8(x1, x2, x3, x4, x5, x6, x7, x8) -> f1(x1, x2, x3, x4, x5, x6, x7, x8) 
32.96/33.01	  f7(I0, I1, I2, I3, I4, I5, I6, I7) -> f2(I0, I1, I2, I3, I4, I5, I6, I7) 
32.96/33.01	  f6(I8, I9, I10, I11, I12, I13, I14, I15) -> f7(I8, I9, I10, rnd4, I12, I13, I14, I15) [y1 = I9 /\ rnd4 = rnd4]
32.96/33.01	  f5(I16, I17, I18, I19, I20, I21, I22, I23) -> f6(I16, I17, I18, I19, I20, I21, I22, I23) [1 <= I21]
32.96/33.01	  f5(I24, I25, I26, I27, I28, I29, I30, I31) -> f6(I24, I25, I26, I27, I28, I29, I30, I31) [1 + I29 <= 0]
32.96/33.01	  f2(I32, I33, I34, I35, I36, I37, I38, I39) -> f5(I32, I33, rnd3, I35, I36, rnd6, I38, I39) [I40 = I33 /\ 0 <= -1 - I40 + I39 /\ rnd3 = rnd3 /\ rnd6 = rnd6]
32.96/33.01	  f4(I41, I42, I43, I44, I45, I46, I47, I48) -> f2(I41, I42, I43, I44, I45, I46, I47, I48) 
32.96/33.01	  f2(I49, I50, I51, I52, I53, I54, I55, I56) -> f4(I49, I50, I57, I52, I53, I58, I55, I56) [I59 = I50 /\ 0 <= -1 - I59 + I56 /\ I57 = I57 /\ I58 = I58 /\ I58 <= 0 /\ 0 <= I58]
32.96/33.01	  f2(I60, I61, I62, I63, I64, I65, I66, I67) -> f3(rnd1, I61, I68, I63, I64, I65, I66, I67) [I69 = I61 /\ -1 * I69 + I67 <= 0 /\ I68 = I68 /\ rnd1 = rnd1]
32.96/33.01	  f1(I70, I71, I72, I73, I74, I75, I76, I77) -> f2(I70, I71, I72, I73, rnd5, I75, rnd7, I77) [rnd5 = rnd7 /\ rnd7 = rnd7]
32.96/33.01	
32.96/35.99	EOF