22.99/23.08	MAYBE
22.99/23.08	
22.99/23.08	DP problem for innermost termination.
22.99/23.08	P =
22.99/23.08	  f9#(x1, x2, x3, x4, x5, x6) -> f8#(x1, x2, x3, x4, x5, x6) 
22.99/23.08	  f8#(I0, I1, I2, I3, I4, I5) -> f3#(I0, I1, I2, I3, I4, I5) 
22.99/23.08	  f8#(I6, I7, I8, I9, I10, I11) -> f7#(I6, I7, I8, I9, I10, I11) 
22.99/23.08	  f8#(I12, I13, I14, I15, I16, I17) -> f6#(I12, I13, I14, I15, I16, I17) 
22.99/23.08	  f8#(I18, I19, I20, I21, I22, I23) -> f5#(I18, I19, I20, I21, I22, I23) 
22.99/23.08	  f8#(I30, I31, I32, I33, I34, I35) -> f4#(I30, I31, I32, I33, I34, I35) 
22.99/23.08	  f8#(I36, I37, I38, I39, I40, I41) -> f1#(I36, I37, I38, I39, I40, I41) 
22.99/23.08	  f3#(I42, I43, I44, I45, I46, I47) -> f7#(I46, I47, I44, I45, I46, I47) 
22.99/23.08	  f7#(I48, I49, I50, I51, I52, I53) -> f6#(I52, I53, I50, I51, I52, I53) [I52 <= 0]
22.99/23.08	  f7#(I54, I55, I56, I57, I58, I59) -> f5#(I58, I59, I56, I57, I58, I59) [1 <= I58]
22.99/23.08	  f5#(I66, I67, I68, I69, I70, I71) -> f4#(I70, I71, I68, I69, I70, I71) [I71 <= 0]
22.99/23.08	  f5#(I72, I73, I74, I75, I76, I77) -> f1#(I76, I77, I74, I75, I76, I77) [1 <= I77]
22.99/23.08	  f4#(I78, I79, I80, I81, I82, I83) -> f3#(I82, I83, I80, I81, -1 + I82, 1) 
22.99/23.08	  f1#(I94, I95, I96, I97, I98, I99) -> f3#(I98, I99, I96, I97, I98, -1 + I99) 
22.99/23.08	  f1#(I100, I101, I102, I103, I104, I105) -> f3#(I104, I105, I106, I103, -1 + I104, I107) [I107 = I106 /\ I106 = I106]
22.99/23.08	R = 
22.99/23.08	  f9(x1, x2, x3, x4, x5, x6) -> f8(x1, x2, x3, x4, x5, x6) 
22.99/23.08	  f8(I0, I1, I2, I3, I4, I5) -> f3(I0, I1, I2, I3, I4, I5) 
22.99/23.08	  f8(I6, I7, I8, I9, I10, I11) -> f7(I6, I7, I8, I9, I10, I11) 
22.99/23.08	  f8(I12, I13, I14, I15, I16, I17) -> f6(I12, I13, I14, I15, I16, I17) 
22.99/23.08	  f8(I18, I19, I20, I21, I22, I23) -> f5(I18, I19, I20, I21, I22, I23) 
22.99/23.08	  f8(I24, I25, I26, I27, I28, I29) -> f2(I24, I25, I26, I27, I28, I29) 
22.99/23.08	  f8(I30, I31, I32, I33, I34, I35) -> f4(I30, I31, I32, I33, I34, I35) 
22.99/23.08	  f8(I36, I37, I38, I39, I40, I41) -> f1(I36, I37, I38, I39, I40, I41) 
22.99/23.08	  f3(I42, I43, I44, I45, I46, I47) -> f7(I46, I47, I44, I45, I46, I47) 
22.99/23.08	  f7(I48, I49, I50, I51, I52, I53) -> f6(I52, I53, I50, I51, I52, I53) [I52 <= 0]
22.99/23.08	  f7(I54, I55, I56, I57, I58, I59) -> f5(I58, I59, I56, I57, I58, I59) [1 <= I58]
22.99/23.08	  f6(I60, I61, I62, I63, I64, I65) -> f2(I64, I65, rnd3, rnd4, rnd5, rnd6) [rnd6 = rnd4 /\ rnd5 = rnd3 /\ rnd4 = rnd4 /\ rnd3 = rnd3]
22.99/23.08	  f5(I66, I67, I68, I69, I70, I71) -> f4(I70, I71, I68, I69, I70, I71) [I71 <= 0]
22.99/23.08	  f5(I72, I73, I74, I75, I76, I77) -> f1(I76, I77, I74, I75, I76, I77) [1 <= I77]
22.99/23.08	  f4(I78, I79, I80, I81, I82, I83) -> f3(I82, I83, I80, I81, -1 + I82, 1) 
22.99/23.08	  f4(I84, I85, I86, I87, I88, I89) -> f2(I88, I89, I90, I91, I92, I93) [I93 = I91 /\ I92 = I90 /\ I91 = I91 /\ I90 = I90]
22.99/23.08	  f1(I94, I95, I96, I97, I98, I99) -> f3(I98, I99, I96, I97, I98, -1 + I99) 
22.99/23.08	  f1(I100, I101, I102, I103, I104, I105) -> f3(I104, I105, I106, I103, -1 + I104, I107) [I107 = I106 /\ I106 = I106]
22.99/23.08	  f1(I108, I109, I110, I111, I112, I113) -> f2(I112, I113, I114, I115, I116, I117) [I117 = I115 /\ I116 = I114 /\ I115 = I115 /\ I114 = I114]
22.99/23.08	
22.99/23.08	The dependency graph for this problem is:
22.99/23.08	  0 -> 1, 2, 3, 4, 5, 6
22.99/23.08	  1 -> 7
22.99/23.08	  2 -> 8, 9
22.99/23.08	  3 -> 
22.99/23.08	  4 -> 10, 11
22.99/23.08	  5 -> 12
22.99/23.08	  6 -> 13, 14
22.99/23.08	  7 -> 8, 9
22.99/23.08	  8 -> 
22.99/23.08	  9 -> 10, 11
22.99/23.08	  10 -> 12
22.99/23.08	  11 -> 13, 14
22.99/23.08	  12 -> 7
22.99/23.08	  13 -> 7
22.99/23.08	  14 -> 7
22.99/23.08	Where:
22.99/23.08	  0) f9#(x1, x2, x3, x4, x5, x6) -> f8#(x1, x2, x3, x4, x5, x6) 
22.99/23.08	  1) f8#(I0, I1, I2, I3, I4, I5) -> f3#(I0, I1, I2, I3, I4, I5) 
22.99/23.08	  2) f8#(I6, I7, I8, I9, I10, I11) -> f7#(I6, I7, I8, I9, I10, I11) 
22.99/23.08	  3) f8#(I12, I13, I14, I15, I16, I17) -> f6#(I12, I13, I14, I15, I16, I17) 
22.99/23.08	  4) f8#(I18, I19, I20, I21, I22, I23) -> f5#(I18, I19, I20, I21, I22, I23) 
22.99/23.08	  5) f8#(I30, I31, I32, I33, I34, I35) -> f4#(I30, I31, I32, I33, I34, I35) 
22.99/23.08	  6) f8#(I36, I37, I38, I39, I40, I41) -> f1#(I36, I37, I38, I39, I40, I41) 
22.99/23.08	  7) f3#(I42, I43, I44, I45, I46, I47) -> f7#(I46, I47, I44, I45, I46, I47) 
22.99/23.08	  8) f7#(I48, I49, I50, I51, I52, I53) -> f6#(I52, I53, I50, I51, I52, I53) [I52 <= 0]
22.99/23.08	  9) f7#(I54, I55, I56, I57, I58, I59) -> f5#(I58, I59, I56, I57, I58, I59) [1 <= I58]
22.99/23.08	  10) f5#(I66, I67, I68, I69, I70, I71) -> f4#(I70, I71, I68, I69, I70, I71) [I71 <= 0]
22.99/23.08	  11) f5#(I72, I73, I74, I75, I76, I77) -> f1#(I76, I77, I74, I75, I76, I77) [1 <= I77]
22.99/23.08	  12) f4#(I78, I79, I80, I81, I82, I83) -> f3#(I82, I83, I80, I81, -1 + I82, 1) 
22.99/23.08	  13) f1#(I94, I95, I96, I97, I98, I99) -> f3#(I98, I99, I96, I97, I98, -1 + I99) 
22.99/23.08	  14) f1#(I100, I101, I102, I103, I104, I105) -> f3#(I104, I105, I106, I103, -1 + I104, I107) [I107 = I106 /\ I106 = I106]
22.99/23.08	
22.99/23.08	We have the following SCCs.
22.99/23.08	  { 7, 9, 10, 11, 12, 13, 14 }
22.99/23.08	
22.99/23.08	DP problem for innermost termination.
22.99/23.08	P =
22.99/23.08	  f3#(I42, I43, I44, I45, I46, I47) -> f7#(I46, I47, I44, I45, I46, I47) 
22.99/23.08	  f7#(I54, I55, I56, I57, I58, I59) -> f5#(I58, I59, I56, I57, I58, I59) [1 <= I58]
22.99/23.08	  f5#(I66, I67, I68, I69, I70, I71) -> f4#(I70, I71, I68, I69, I70, I71) [I71 <= 0]
22.99/23.08	  f5#(I72, I73, I74, I75, I76, I77) -> f1#(I76, I77, I74, I75, I76, I77) [1 <= I77]
22.99/23.08	  f4#(I78, I79, I80, I81, I82, I83) -> f3#(I82, I83, I80, I81, -1 + I82, 1) 
22.99/23.08	  f1#(I94, I95, I96, I97, I98, I99) -> f3#(I98, I99, I96, I97, I98, -1 + I99) 
22.99/23.08	  f1#(I100, I101, I102, I103, I104, I105) -> f3#(I104, I105, I106, I103, -1 + I104, I107) [I107 = I106 /\ I106 = I106]
22.99/23.08	R = 
22.99/23.08	  f9(x1, x2, x3, x4, x5, x6) -> f8(x1, x2, x3, x4, x5, x6) 
22.99/23.08	  f8(I0, I1, I2, I3, I4, I5) -> f3(I0, I1, I2, I3, I4, I5) 
22.99/23.08	  f8(I6, I7, I8, I9, I10, I11) -> f7(I6, I7, I8, I9, I10, I11) 
22.99/23.08	  f8(I12, I13, I14, I15, I16, I17) -> f6(I12, I13, I14, I15, I16, I17) 
22.99/23.08	  f8(I18, I19, I20, I21, I22, I23) -> f5(I18, I19, I20, I21, I22, I23) 
22.99/23.08	  f8(I24, I25, I26, I27, I28, I29) -> f2(I24, I25, I26, I27, I28, I29) 
22.99/23.08	  f8(I30, I31, I32, I33, I34, I35) -> f4(I30, I31, I32, I33, I34, I35) 
22.99/23.08	  f8(I36, I37, I38, I39, I40, I41) -> f1(I36, I37, I38, I39, I40, I41) 
22.99/23.08	  f3(I42, I43, I44, I45, I46, I47) -> f7(I46, I47, I44, I45, I46, I47) 
22.99/23.08	  f7(I48, I49, I50, I51, I52, I53) -> f6(I52, I53, I50, I51, I52, I53) [I52 <= 0]
22.99/23.08	  f7(I54, I55, I56, I57, I58, I59) -> f5(I58, I59, I56, I57, I58, I59) [1 <= I58]
22.99/23.08	  f6(I60, I61, I62, I63, I64, I65) -> f2(I64, I65, rnd3, rnd4, rnd5, rnd6) [rnd6 = rnd4 /\ rnd5 = rnd3 /\ rnd4 = rnd4 /\ rnd3 = rnd3]
22.99/23.08	  f5(I66, I67, I68, I69, I70, I71) -> f4(I70, I71, I68, I69, I70, I71) [I71 <= 0]
22.99/23.08	  f5(I72, I73, I74, I75, I76, I77) -> f1(I76, I77, I74, I75, I76, I77) [1 <= I77]
22.99/23.08	  f4(I78, I79, I80, I81, I82, I83) -> f3(I82, I83, I80, I81, -1 + I82, 1) 
22.99/23.08	  f4(I84, I85, I86, I87, I88, I89) -> f2(I88, I89, I90, I91, I92, I93) [I93 = I91 /\ I92 = I90 /\ I91 = I91 /\ I90 = I90]
22.99/23.08	  f1(I94, I95, I96, I97, I98, I99) -> f3(I98, I99, I96, I97, I98, -1 + I99) 
22.99/23.08	  f1(I100, I101, I102, I103, I104, I105) -> f3(I104, I105, I106, I103, -1 + I104, I107) [I107 = I106 /\ I106 = I106]
22.99/23.08	  f1(I108, I109, I110, I111, I112, I113) -> f2(I112, I113, I114, I115, I116, I117) [I117 = I115 /\ I116 = I114 /\ I115 = I115 /\ I114 = I114]
22.99/23.08	
22.99/26.06	EOF