47.04/46.33	MAYBE
47.04/46.33	
47.04/46.33	DP problem for innermost termination.
47.04/46.33	P =
47.04/46.33	  f8#(x1, x2, x3, x4, x5, x6, x7, x8, x9) -> f1#(x1, x2, x3, x4, x5, x6, x7, x8, x9) 
47.04/46.33	  f7#(I0, I1, I2, I3, I4, I5, I6, I7, I8) -> f2#(I0, I1, I2, I3, I4, I5, I6, I7, I8) 
47.04/46.33	  f6#(I9, I10, I11, I12, I13, I14, I15, I16, I17) -> f7#(I9, rnd2, I11, I12, I13, I14, I15, I16, I17) [rnd2 = rnd2]
47.04/46.33	  f5#(I18, I19, I20, I21, I22, I23, I24, I25, I26) -> f6#(I18, I19, I20, I21, I22, I23, I24, I25, I26) [1 + I23 <= 0]
47.04/46.33	  f5#(I27, I28, I29, I30, I31, I32, I33, I34, I35) -> f6#(I27, I28, I29, I30, I31, I32, I33, I34, I35) [1 <= I32]
47.04/46.33	  f2#(I36, I37, I38, I39, I40, I41, I42, I43, I44) -> f5#(rnd1, I37, rnd3, I39, I40, rnd6, I42, I43, I44) [1 + I36 <= I44 /\ rnd1 = rnd1 /\ y1 = y1 /\ rnd6 = y1 /\ rnd3 = rnd3]
47.04/46.33	  f4#(I45, I46, I47, I48, I49, I50, I51, I52, I53) -> f2#(I45, I46, I47, I48, I49, I50, I51, I52, I53) 
47.04/46.33	  f2#(I54, I55, I56, I57, I58, I59, I60, I61, I62) -> f4#(I63, I55, I64, I57, I58, I65, I60, I61, I62) [1 + I54 <= I62 /\ I63 = I63 /\ I66 = I66 /\ I65 = I66 /\ I64 = I64 /\ 0 <= I65 /\ I65 <= 0]
47.04/46.34	  f1#(I77, I78, I79, I80, I81, I82, I83, I84, I85) -> f2#(I77, I78, I79, I84, I81, I82, I83, I84, I85) 
47.04/46.34	R = 
47.04/46.34	  f8(x1, x2, x3, x4, x5, x6, x7, x8, x9) -> f1(x1, x2, x3, x4, x5, x6, x7, x8, x9) 
47.04/46.34	  f7(I0, I1, I2, I3, I4, I5, I6, I7, I8) -> f2(I0, I1, I2, I3, I4, I5, I6, I7, I8) 
47.04/46.34	  f6(I9, I10, I11, I12, I13, I14, I15, I16, I17) -> f7(I9, rnd2, I11, I12, I13, I14, I15, I16, I17) [rnd2 = rnd2]
47.04/46.34	  f5(I18, I19, I20, I21, I22, I23, I24, I25, I26) -> f6(I18, I19, I20, I21, I22, I23, I24, I25, I26) [1 + I23 <= 0]
47.04/46.34	  f5(I27, I28, I29, I30, I31, I32, I33, I34, I35) -> f6(I27, I28, I29, I30, I31, I32, I33, I34, I35) [1 <= I32]
47.04/46.34	  f2(I36, I37, I38, I39, I40, I41, I42, I43, I44) -> f5(rnd1, I37, rnd3, I39, I40, rnd6, I42, I43, I44) [1 + I36 <= I44 /\ rnd1 = rnd1 /\ y1 = y1 /\ rnd6 = y1 /\ rnd3 = rnd3]
47.04/46.34	  f4(I45, I46, I47, I48, I49, I50, I51, I52, I53) -> f2(I45, I46, I47, I48, I49, I50, I51, I52, I53) 
47.04/46.34	  f2(I54, I55, I56, I57, I58, I59, I60, I61, I62) -> f4(I63, I55, I64, I57, I58, I65, I60, I61, I62) [1 + I54 <= I62 /\ I63 = I63 /\ I66 = I66 /\ I65 = I66 /\ I64 = I64 /\ 0 <= I65 /\ I65 <= 0]
47.04/46.34	  f2(I67, I68, I69, I70, I71, I72, I73, I74, I75) -> f3(I76, I68, I69, I70, I73, I72, I73, I74, I75) [I76 = I76 /\ I75 <= I67]
47.04/46.34	  f1(I77, I78, I79, I80, I81, I82, I83, I84, I85) -> f2(I77, I78, I79, I84, I81, I82, I83, I84, I85) 
47.04/46.34	
47.04/46.34	The dependency graph for this problem is:
47.04/46.34	  0 -> 8
47.04/46.34	  1 -> 5, 7
47.04/46.34	  2 -> 1
47.04/46.34	  3 -> 2
47.04/46.34	  4 -> 2
47.04/46.34	  5 -> 3, 4
47.04/46.34	  6 -> 5, 7
47.04/46.34	  7 -> 6
47.04/46.34	  8 -> 5, 7
47.04/46.34	Where:
47.04/46.34	  0) f8#(x1, x2, x3, x4, x5, x6, x7, x8, x9) -> f1#(x1, x2, x3, x4, x5, x6, x7, x8, x9) 
47.04/46.34	  1) f7#(I0, I1, I2, I3, I4, I5, I6, I7, I8) -> f2#(I0, I1, I2, I3, I4, I5, I6, I7, I8) 
47.04/46.34	  2) f6#(I9, I10, I11, I12, I13, I14, I15, I16, I17) -> f7#(I9, rnd2, I11, I12, I13, I14, I15, I16, I17) [rnd2 = rnd2]
47.04/46.34	  3) f5#(I18, I19, I20, I21, I22, I23, I24, I25, I26) -> f6#(I18, I19, I20, I21, I22, I23, I24, I25, I26) [1 + I23 <= 0]
47.04/46.34	  4) f5#(I27, I28, I29, I30, I31, I32, I33, I34, I35) -> f6#(I27, I28, I29, I30, I31, I32, I33, I34, I35) [1 <= I32]
47.04/46.34	  5) f2#(I36, I37, I38, I39, I40, I41, I42, I43, I44) -> f5#(rnd1, I37, rnd3, I39, I40, rnd6, I42, I43, I44) [1 + I36 <= I44 /\ rnd1 = rnd1 /\ y1 = y1 /\ rnd6 = y1 /\ rnd3 = rnd3]
47.04/46.34	  6) f4#(I45, I46, I47, I48, I49, I50, I51, I52, I53) -> f2#(I45, I46, I47, I48, I49, I50, I51, I52, I53) 
47.04/46.34	  7) f2#(I54, I55, I56, I57, I58, I59, I60, I61, I62) -> f4#(I63, I55, I64, I57, I58, I65, I60, I61, I62) [1 + I54 <= I62 /\ I63 = I63 /\ I66 = I66 /\ I65 = I66 /\ I64 = I64 /\ 0 <= I65 /\ I65 <= 0]
47.04/46.34	  8) f1#(I77, I78, I79, I80, I81, I82, I83, I84, I85) -> f2#(I77, I78, I79, I84, I81, I82, I83, I84, I85) 
47.04/46.34	
47.04/46.34	We have the following SCCs.
47.04/46.34	  { 1, 2, 3, 4, 5, 6, 7 }
47.04/46.34	
47.04/46.34	DP problem for innermost termination.
47.04/46.34	P =
47.04/46.34	  f7#(I0, I1, I2, I3, I4, I5, I6, I7, I8) -> f2#(I0, I1, I2, I3, I4, I5, I6, I7, I8) 
47.04/46.34	  f6#(I9, I10, I11, I12, I13, I14, I15, I16, I17) -> f7#(I9, rnd2, I11, I12, I13, I14, I15, I16, I17) [rnd2 = rnd2]
47.04/46.34	  f5#(I18, I19, I20, I21, I22, I23, I24, I25, I26) -> f6#(I18, I19, I20, I21, I22, I23, I24, I25, I26) [1 + I23 <= 0]
47.04/46.34	  f5#(I27, I28, I29, I30, I31, I32, I33, I34, I35) -> f6#(I27, I28, I29, I30, I31, I32, I33, I34, I35) [1 <= I32]
47.04/46.34	  f2#(I36, I37, I38, I39, I40, I41, I42, I43, I44) -> f5#(rnd1, I37, rnd3, I39, I40, rnd6, I42, I43, I44) [1 + I36 <= I44 /\ rnd1 = rnd1 /\ y1 = y1 /\ rnd6 = y1 /\ rnd3 = rnd3]
47.04/46.34	  f4#(I45, I46, I47, I48, I49, I50, I51, I52, I53) -> f2#(I45, I46, I47, I48, I49, I50, I51, I52, I53) 
47.04/46.34	  f2#(I54, I55, I56, I57, I58, I59, I60, I61, I62) -> f4#(I63, I55, I64, I57, I58, I65, I60, I61, I62) [1 + I54 <= I62 /\ I63 = I63 /\ I66 = I66 /\ I65 = I66 /\ I64 = I64 /\ 0 <= I65 /\ I65 <= 0]
47.04/46.34	R = 
47.04/46.34	  f8(x1, x2, x3, x4, x5, x6, x7, x8, x9) -> f1(x1, x2, x3, x4, x5, x6, x7, x8, x9) 
47.04/46.34	  f7(I0, I1, I2, I3, I4, I5, I6, I7, I8) -> f2(I0, I1, I2, I3, I4, I5, I6, I7, I8) 
47.04/46.34	  f6(I9, I10, I11, I12, I13, I14, I15, I16, I17) -> f7(I9, rnd2, I11, I12, I13, I14, I15, I16, I17) [rnd2 = rnd2]
47.04/46.34	  f5(I18, I19, I20, I21, I22, I23, I24, I25, I26) -> f6(I18, I19, I20, I21, I22, I23, I24, I25, I26) [1 + I23 <= 0]
47.04/46.34	  f5(I27, I28, I29, I30, I31, I32, I33, I34, I35) -> f6(I27, I28, I29, I30, I31, I32, I33, I34, I35) [1 <= I32]
47.04/46.34	  f2(I36, I37, I38, I39, I40, I41, I42, I43, I44) -> f5(rnd1, I37, rnd3, I39, I40, rnd6, I42, I43, I44) [1 + I36 <= I44 /\ rnd1 = rnd1 /\ y1 = y1 /\ rnd6 = y1 /\ rnd3 = rnd3]
47.04/46.34	  f4(I45, I46, I47, I48, I49, I50, I51, I52, I53) -> f2(I45, I46, I47, I48, I49, I50, I51, I52, I53) 
47.04/46.34	  f2(I54, I55, I56, I57, I58, I59, I60, I61, I62) -> f4(I63, I55, I64, I57, I58, I65, I60, I61, I62) [1 + I54 <= I62 /\ I63 = I63 /\ I66 = I66 /\ I65 = I66 /\ I64 = I64 /\ 0 <= I65 /\ I65 <= 0]
47.04/46.34	  f2(I67, I68, I69, I70, I71, I72, I73, I74, I75) -> f3(I76, I68, I69, I70, I73, I72, I73, I74, I75) [I76 = I76 /\ I75 <= I67]
47.04/46.34	  f1(I77, I78, I79, I80, I81, I82, I83, I84, I85) -> f2(I77, I78, I79, I84, I81, I82, I83, I84, I85) 
47.04/46.34	
47.04/49.31	EOF