124.24/122.25	MAYBE
124.24/122.25	
124.24/122.25	DP problem for innermost termination.
124.24/122.25	P =
124.24/122.25	  f7#(x1, x2, x3, x4, x5, x6, x7, x8, x9) -> f6#(x1, x2, x3, x4, x5, x6, x7, x8, x9) 
124.24/122.25	  f6#(I0, I1, I2, I3, I4, I5, I6, I7, I8) -> f3#(I0, I1, I2, I3, I4, I5, I6, I7, I8) [I2 <= 3 /\ 0 <= I2 /\ I8 <= 3 /\ 0 <= I8 /\ I6 <= 3 /\ 0 <= I4 /\ I7 <= 3 /\ 0 <= I7]
124.24/122.25	  f3#(I9, I10, I11, I12, I13, I14, I15, I16, I17) -> f5#(I9, I10, I11, I12, I13, 1 + I13, I15, I16, I17) [1 + 2 * I13 <= 2 + I16]
124.24/122.25	  f3#(I18, I19, I20, I21, I22, I23, I24, I25, I26) -> f5#(I18, I19, I20, I21, I22, -1 + I22, I24, I25, I26) [3 + I25 <= -1 + 2 * I22]
124.24/122.25	  f3#(I27, I28, I29, I30, I31, I32, I33, I34, I35) -> f5#(I27, I28, I29, I30, I31, I31, I33, I34, I35) [2 * I31 <= 2 + I34 /\ 2 + I34 <= 2 * I31]
124.24/122.25	  f3#(I36, I37, I38, I39, I40, I41, I42, I43, I44) -> f5#(I36, I37, I38, I39, I40, I40, I42, I43, I44) [-1 + 2 * I40 <= 2 + I43 /\ 2 + I43 <= -1 + 2 * I40]
124.24/122.25	  f5#(I45, I46, I47, I48, I49, I50, I51, I52, I53) -> f1#(I45, I46, I47, 1 + I47, I49, I50, I51, I52, I53) [1 + 2 * I47 <= I49 + I53]
124.24/122.25	  f5#(I54, I55, I56, I57, I58, I59, I60, I61, I62) -> f1#(I54, I55, I56, -1 + I56, I58, I59, I60, I61, I62) [1 + I58 + I62 <= -1 + 2 * I56]
124.24/122.25	  f5#(I63, I64, I65, I66, I67, I68, I69, I70, I71) -> f1#(I63, I64, I65, I65, I67, I68, I69, I70, I71) [2 * I65 <= I67 + I71 /\ I67 + I71 <= 2 * I65]
124.24/122.25	  f5#(I72, I73, I74, I75, I76, I77, I78, I79, I80) -> f1#(I72, I73, I74, I74, I76, I77, I78, I79, I80) [-1 + 2 * I74 <= I76 + I80 /\ I76 + I80 <= -1 + 2 * I74]
124.24/122.25	  f4#(I81, I82, I83, I84, I85, I86, I87, I88, I89) -> f3#(I81, I82, I84, I84, I86, I86, I87, I88, I89) 
124.24/122.25	  f1#(I90, I91, I92, I93, I94, I95, I96, I97, I98) -> f4#(I90, I91, I92, I93, I94, I95, I96, I97, I98) [I91 = I91]
124.24/122.25	  f2#(I99, I100, I101, I102, I103, I104, I105, I106, I107) -> f3#(I99, I100, I102, I102, I104, I104, I105, I106, I107) 
124.24/122.25	  f1#(I108, I109, I110, I111, I112, I113, I114, I115, I116) -> f2#(I108, I109, I110, I111, I112, I113, I114, I115, I116) [I108 = I108]
124.24/122.25	R = 
124.24/122.25	  f7(x1, x2, x3, x4, x5, x6, x7, x8, x9) -> f6(x1, x2, x3, x4, x5, x6, x7, x8, x9) 
124.24/122.25	  f6(I0, I1, I2, I3, I4, I5, I6, I7, I8) -> f3(I0, I1, I2, I3, I4, I5, I6, I7, I8) [I2 <= 3 /\ 0 <= I2 /\ I8 <= 3 /\ 0 <= I8 /\ I6 <= 3 /\ 0 <= I4 /\ I7 <= 3 /\ 0 <= I7]
124.24/122.25	  f3(I9, I10, I11, I12, I13, I14, I15, I16, I17) -> f5(I9, I10, I11, I12, I13, 1 + I13, I15, I16, I17) [1 + 2 * I13 <= 2 + I16]
124.24/122.25	  f3(I18, I19, I20, I21, I22, I23, I24, I25, I26) -> f5(I18, I19, I20, I21, I22, -1 + I22, I24, I25, I26) [3 + I25 <= -1 + 2 * I22]
124.24/122.25	  f3(I27, I28, I29, I30, I31, I32, I33, I34, I35) -> f5(I27, I28, I29, I30, I31, I31, I33, I34, I35) [2 * I31 <= 2 + I34 /\ 2 + I34 <= 2 * I31]
124.24/122.25	  f3(I36, I37, I38, I39, I40, I41, I42, I43, I44) -> f5(I36, I37, I38, I39, I40, I40, I42, I43, I44) [-1 + 2 * I40 <= 2 + I43 /\ 2 + I43 <= -1 + 2 * I40]
124.24/122.25	  f5(I45, I46, I47, I48, I49, I50, I51, I52, I53) -> f1(I45, I46, I47, 1 + I47, I49, I50, I51, I52, I53) [1 + 2 * I47 <= I49 + I53]
124.24/122.25	  f5(I54, I55, I56, I57, I58, I59, I60, I61, I62) -> f1(I54, I55, I56, -1 + I56, I58, I59, I60, I61, I62) [1 + I58 + I62 <= -1 + 2 * I56]
124.24/122.25	  f5(I63, I64, I65, I66, I67, I68, I69, I70, I71) -> f1(I63, I64, I65, I65, I67, I68, I69, I70, I71) [2 * I65 <= I67 + I71 /\ I67 + I71 <= 2 * I65]
124.24/122.25	  f5(I72, I73, I74, I75, I76, I77, I78, I79, I80) -> f1(I72, I73, I74, I74, I76, I77, I78, I79, I80) [-1 + 2 * I74 <= I76 + I80 /\ I76 + I80 <= -1 + 2 * I74]
124.24/122.25	  f4(I81, I82, I83, I84, I85, I86, I87, I88, I89) -> f3(I81, I82, I84, I84, I86, I86, I87, I88, I89) 
124.24/122.25	  f1(I90, I91, I92, I93, I94, I95, I96, I97, I98) -> f4(I90, I91, I92, I93, I94, I95, I96, I97, I98) [I91 = I91]
124.24/122.25	  f2(I99, I100, I101, I102, I103, I104, I105, I106, I107) -> f3(I99, I100, I102, I102, I104, I104, I105, I106, I107) 
124.24/122.25	  f1(I108, I109, I110, I111, I112, I113, I114, I115, I116) -> f2(I108, I109, I110, I111, I112, I113, I114, I115, I116) [I108 = I108]
124.24/122.25	
124.24/122.25	The dependency graph for this problem is:
124.24/122.25	  0 -> 1
124.24/122.25	  1 -> 2, 3, 4, 5
124.24/122.25	  2 -> 6, 7, 8, 9
124.24/122.25	  3 -> 6, 7, 8, 9
124.24/122.25	  4 -> 6, 7, 8, 9
124.24/122.25	  5 -> 6, 7, 8, 9
124.24/122.25	  6 -> 11, 13
124.24/122.25	  7 -> 11, 13
124.24/122.25	  8 -> 11, 13
124.24/122.25	  9 -> 11, 13
124.24/122.25	  10 -> 2, 3, 4, 5
124.24/122.25	  11 -> 10
124.24/122.25	  12 -> 2, 3, 4, 5
124.24/122.25	  13 -> 12
124.24/122.25	Where:
124.24/122.25	  0) f7#(x1, x2, x3, x4, x5, x6, x7, x8, x9) -> f6#(x1, x2, x3, x4, x5, x6, x7, x8, x9) 
124.24/122.25	  1) f6#(I0, I1, I2, I3, I4, I5, I6, I7, I8) -> f3#(I0, I1, I2, I3, I4, I5, I6, I7, I8) [I2 <= 3 /\ 0 <= I2 /\ I8 <= 3 /\ 0 <= I8 /\ I6 <= 3 /\ 0 <= I4 /\ I7 <= 3 /\ 0 <= I7]
124.24/122.25	  2) f3#(I9, I10, I11, I12, I13, I14, I15, I16, I17) -> f5#(I9, I10, I11, I12, I13, 1 + I13, I15, I16, I17) [1 + 2 * I13 <= 2 + I16]
124.24/122.25	  3) f3#(I18, I19, I20, I21, I22, I23, I24, I25, I26) -> f5#(I18, I19, I20, I21, I22, -1 + I22, I24, I25, I26) [3 + I25 <= -1 + 2 * I22]
124.24/122.25	  4) f3#(I27, I28, I29, I30, I31, I32, I33, I34, I35) -> f5#(I27, I28, I29, I30, I31, I31, I33, I34, I35) [2 * I31 <= 2 + I34 /\ 2 + I34 <= 2 * I31]
124.24/122.25	  5) f3#(I36, I37, I38, I39, I40, I41, I42, I43, I44) -> f5#(I36, I37, I38, I39, I40, I40, I42, I43, I44) [-1 + 2 * I40 <= 2 + I43 /\ 2 + I43 <= -1 + 2 * I40]
124.24/122.25	  6) f5#(I45, I46, I47, I48, I49, I50, I51, I52, I53) -> f1#(I45, I46, I47, 1 + I47, I49, I50, I51, I52, I53) [1 + 2 * I47 <= I49 + I53]
124.24/122.25	  7) f5#(I54, I55, I56, I57, I58, I59, I60, I61, I62) -> f1#(I54, I55, I56, -1 + I56, I58, I59, I60, I61, I62) [1 + I58 + I62 <= -1 + 2 * I56]
124.24/122.25	  8) f5#(I63, I64, I65, I66, I67, I68, I69, I70, I71) -> f1#(I63, I64, I65, I65, I67, I68, I69, I70, I71) [2 * I65 <= I67 + I71 /\ I67 + I71 <= 2 * I65]
124.24/122.25	  9) f5#(I72, I73, I74, I75, I76, I77, I78, I79, I80) -> f1#(I72, I73, I74, I74, I76, I77, I78, I79, I80) [-1 + 2 * I74 <= I76 + I80 /\ I76 + I80 <= -1 + 2 * I74]
124.24/122.25	  10) f4#(I81, I82, I83, I84, I85, I86, I87, I88, I89) -> f3#(I81, I82, I84, I84, I86, I86, I87, I88, I89) 
124.24/122.25	  11) f1#(I90, I91, I92, I93, I94, I95, I96, I97, I98) -> f4#(I90, I91, I92, I93, I94, I95, I96, I97, I98) [I91 = I91]
124.24/122.25	  12) f2#(I99, I100, I101, I102, I103, I104, I105, I106, I107) -> f3#(I99, I100, I102, I102, I104, I104, I105, I106, I107) 
124.24/122.25	  13) f1#(I108, I109, I110, I111, I112, I113, I114, I115, I116) -> f2#(I108, I109, I110, I111, I112, I113, I114, I115, I116) [I108 = I108]
124.24/122.25	
124.24/122.25	We have the following SCCs.
124.24/122.25	  { 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13 }
124.24/122.25	
124.24/122.25	DP problem for innermost termination.
124.24/122.25	P =
124.24/122.25	  f3#(I9, I10, I11, I12, I13, I14, I15, I16, I17) -> f5#(I9, I10, I11, I12, I13, 1 + I13, I15, I16, I17) [1 + 2 * I13 <= 2 + I16]
124.24/122.25	  f3#(I18, I19, I20, I21, I22, I23, I24, I25, I26) -> f5#(I18, I19, I20, I21, I22, -1 + I22, I24, I25, I26) [3 + I25 <= -1 + 2 * I22]
124.24/122.25	  f3#(I27, I28, I29, I30, I31, I32, I33, I34, I35) -> f5#(I27, I28, I29, I30, I31, I31, I33, I34, I35) [2 * I31 <= 2 + I34 /\ 2 + I34 <= 2 * I31]
124.24/122.25	  f3#(I36, I37, I38, I39, I40, I41, I42, I43, I44) -> f5#(I36, I37, I38, I39, I40, I40, I42, I43, I44) [-1 + 2 * I40 <= 2 + I43 /\ 2 + I43 <= -1 + 2 * I40]
124.24/122.25	  f5#(I45, I46, I47, I48, I49, I50, I51, I52, I53) -> f1#(I45, I46, I47, 1 + I47, I49, I50, I51, I52, I53) [1 + 2 * I47 <= I49 + I53]
124.24/122.25	  f5#(I54, I55, I56, I57, I58, I59, I60, I61, I62) -> f1#(I54, I55, I56, -1 + I56, I58, I59, I60, I61, I62) [1 + I58 + I62 <= -1 + 2 * I56]
124.24/122.25	  f5#(I63, I64, I65, I66, I67, I68, I69, I70, I71) -> f1#(I63, I64, I65, I65, I67, I68, I69, I70, I71) [2 * I65 <= I67 + I71 /\ I67 + I71 <= 2 * I65]
124.24/122.25	  f5#(I72, I73, I74, I75, I76, I77, I78, I79, I80) -> f1#(I72, I73, I74, I74, I76, I77, I78, I79, I80) [-1 + 2 * I74 <= I76 + I80 /\ I76 + I80 <= -1 + 2 * I74]
124.24/122.25	  f4#(I81, I82, I83, I84, I85, I86, I87, I88, I89) -> f3#(I81, I82, I84, I84, I86, I86, I87, I88, I89) 
124.24/122.25	  f1#(I90, I91, I92, I93, I94, I95, I96, I97, I98) -> f4#(I90, I91, I92, I93, I94, I95, I96, I97, I98) [I91 = I91]
124.24/122.25	  f2#(I99, I100, I101, I102, I103, I104, I105, I106, I107) -> f3#(I99, I100, I102, I102, I104, I104, I105, I106, I107) 
124.24/122.25	  f1#(I108, I109, I110, I111, I112, I113, I114, I115, I116) -> f2#(I108, I109, I110, I111, I112, I113, I114, I115, I116) [I108 = I108]
124.24/122.25	R = 
124.24/122.25	  f7(x1, x2, x3, x4, x5, x6, x7, x8, x9) -> f6(x1, x2, x3, x4, x5, x6, x7, x8, x9) 
124.24/122.25	  f6(I0, I1, I2, I3, I4, I5, I6, I7, I8) -> f3(I0, I1, I2, I3, I4, I5, I6, I7, I8) [I2 <= 3 /\ 0 <= I2 /\ I8 <= 3 /\ 0 <= I8 /\ I6 <= 3 /\ 0 <= I4 /\ I7 <= 3 /\ 0 <= I7]
124.24/122.25	  f3(I9, I10, I11, I12, I13, I14, I15, I16, I17) -> f5(I9, I10, I11, I12, I13, 1 + I13, I15, I16, I17) [1 + 2 * I13 <= 2 + I16]
124.24/122.25	  f3(I18, I19, I20, I21, I22, I23, I24, I25, I26) -> f5(I18, I19, I20, I21, I22, -1 + I22, I24, I25, I26) [3 + I25 <= -1 + 2 * I22]
124.24/122.25	  f3(I27, I28, I29, I30, I31, I32, I33, I34, I35) -> f5(I27, I28, I29, I30, I31, I31, I33, I34, I35) [2 * I31 <= 2 + I34 /\ 2 + I34 <= 2 * I31]
124.24/122.25	  f3(I36, I37, I38, I39, I40, I41, I42, I43, I44) -> f5(I36, I37, I38, I39, I40, I40, I42, I43, I44) [-1 + 2 * I40 <= 2 + I43 /\ 2 + I43 <= -1 + 2 * I40]
124.24/122.25	  f5(I45, I46, I47, I48, I49, I50, I51, I52, I53) -> f1(I45, I46, I47, 1 + I47, I49, I50, I51, I52, I53) [1 + 2 * I47 <= I49 + I53]
124.24/122.25	  f5(I54, I55, I56, I57, I58, I59, I60, I61, I62) -> f1(I54, I55, I56, -1 + I56, I58, I59, I60, I61, I62) [1 + I58 + I62 <= -1 + 2 * I56]
124.24/122.25	  f5(I63, I64, I65, I66, I67, I68, I69, I70, I71) -> f1(I63, I64, I65, I65, I67, I68, I69, I70, I71) [2 * I65 <= I67 + I71 /\ I67 + I71 <= 2 * I65]
124.24/122.25	  f5(I72, I73, I74, I75, I76, I77, I78, I79, I80) -> f1(I72, I73, I74, I74, I76, I77, I78, I79, I80) [-1 + 2 * I74 <= I76 + I80 /\ I76 + I80 <= -1 + 2 * I74]
124.24/122.25	  f4(I81, I82, I83, I84, I85, I86, I87, I88, I89) -> f3(I81, I82, I84, I84, I86, I86, I87, I88, I89) 
124.24/122.25	  f1(I90, I91, I92, I93, I94, I95, I96, I97, I98) -> f4(I90, I91, I92, I93, I94, I95, I96, I97, I98) [I91 = I91]
124.24/122.25	  f2(I99, I100, I101, I102, I103, I104, I105, I106, I107) -> f3(I99, I100, I102, I102, I104, I104, I105, I106, I107) 
124.24/122.25	  f1(I108, I109, I110, I111, I112, I113, I114, I115, I116) -> f2(I108, I109, I110, I111, I112, I113, I114, I115, I116) [I108 = I108]
124.24/122.25	
124.24/125.22	EOF