15.40/15.46	MAYBE
15.40/15.46	
15.40/15.46	DP problem for innermost termination.
15.40/15.46	P =
15.40/15.46	  f8#(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10) -> f7#(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10) 
15.40/15.46	  f7#(I0, I1, I2, I3, I4, I5, I6, I7, I8, I9) -> f3#(I0, 0, 1, 0, I4, rnd6, I6, rnd8, I8, 0) [rnd6 = rnd6 /\ rnd8 = rnd8]
15.40/15.46	  f3#(I10, I11, I12, I13, I14, I15, I16, I17, I18, I19) -> f6#(rnd1, I11, 1, I13, I14, I15, I16, I17, I18, 0) [rnd1 = rnd1 /\ 1 + I17 <= I15]
15.40/15.46	  f3#(I20, I21, I22, I23, I24, I25, I26, I27, I28, I29) -> f2#(I20, I21, I22, I23, I24, I25, I26, I27, I28, 0) [I25 <= I27]
15.40/15.46	  f6#(I30, I31, I32, I33, I34, I35, I36, I37, I38, I39) -> f4#(I30, 1, I32, I33, I34, I35, rnd7, I37, I38, I39) [rnd7 = rnd7 /\ 1 <= I30]
15.40/15.46	  f6#(I40, I41, I42, I43, I44, I45, I46, I47, I48, I49) -> f2#(I40, I41, I42, I43, I44, I45, I46, I47, I48, I49) [I40 <= 0]
15.40/15.46	  f5#(I50, I51, I52, I53, I54, I55, I56, I57, I58, I59) -> f2#(I50, I51, I52, I53, I54, I55, I56, I57, I58, I59) 
15.40/15.46	  f2#(I60, I61, I62, I63, I64, I65, I66, I67, I68, I69) -> f5#(I60, I61, I62, 1, I64, I65, I66, I67, 0, I69) 
15.40/15.46	  f4#(I70, I71, I72, I73, I74, I75, I76, I77, I78, I79) -> f1#(I70, 0, I72, I73, 0, I75, I80, I77, I78, I79) [I80 = I80 /\ 2 <= I76]
15.40/15.46	  f4#(I81, I82, I83, I84, I85, I86, I87, I88, I89, I90) -> f3#(I81, 0, I83, I84, I85, I86, I87, 1 + I88, I89, 1) [I87 <= 1]
15.40/15.46	  f1#(I91, I92, I93, I94, I95, I96, I97, I98, I99, I100) -> f3#(I91, I92, I93, I94, I95, I96, I97, I98, 1 + I99, I100) [2 <= I97]
15.40/15.46	  f1#(I101, I102, I103, I104, I105, I106, I107, I108, I109, I110) -> f2#(I101, I102, I103, I104, I105, I106, I107, I108, I109, I110) [I107 <= 1]
15.40/15.46	R = 
15.40/15.46	  f8(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10) -> f7(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10) 
15.40/15.46	  f7(I0, I1, I2, I3, I4, I5, I6, I7, I8, I9) -> f3(I0, 0, 1, 0, I4, rnd6, I6, rnd8, I8, 0) [rnd6 = rnd6 /\ rnd8 = rnd8]
15.40/15.46	  f3(I10, I11, I12, I13, I14, I15, I16, I17, I18, I19) -> f6(rnd1, I11, 1, I13, I14, I15, I16, I17, I18, 0) [rnd1 = rnd1 /\ 1 + I17 <= I15]
15.40/15.46	  f3(I20, I21, I22, I23, I24, I25, I26, I27, I28, I29) -> f2(I20, I21, I22, I23, I24, I25, I26, I27, I28, 0) [I25 <= I27]
15.40/15.46	  f6(I30, I31, I32, I33, I34, I35, I36, I37, I38, I39) -> f4(I30, 1, I32, I33, I34, I35, rnd7, I37, I38, I39) [rnd7 = rnd7 /\ 1 <= I30]
15.40/15.46	  f6(I40, I41, I42, I43, I44, I45, I46, I47, I48, I49) -> f2(I40, I41, I42, I43, I44, I45, I46, I47, I48, I49) [I40 <= 0]
15.40/15.46	  f5(I50, I51, I52, I53, I54, I55, I56, I57, I58, I59) -> f2(I50, I51, I52, I53, I54, I55, I56, I57, I58, I59) 
15.40/15.46	  f2(I60, I61, I62, I63, I64, I65, I66, I67, I68, I69) -> f5(I60, I61, I62, 1, I64, I65, I66, I67, 0, I69) 
15.40/15.46	  f4(I70, I71, I72, I73, I74, I75, I76, I77, I78, I79) -> f1(I70, 0, I72, I73, 0, I75, I80, I77, I78, I79) [I80 = I80 /\ 2 <= I76]
15.40/15.46	  f4(I81, I82, I83, I84, I85, I86, I87, I88, I89, I90) -> f3(I81, 0, I83, I84, I85, I86, I87, 1 + I88, I89, 1) [I87 <= 1]
15.40/15.46	  f1(I91, I92, I93, I94, I95, I96, I97, I98, I99, I100) -> f3(I91, I92, I93, I94, I95, I96, I97, I98, 1 + I99, I100) [2 <= I97]
15.40/15.46	  f1(I101, I102, I103, I104, I105, I106, I107, I108, I109, I110) -> f2(I101, I102, I103, I104, I105, I106, I107, I108, I109, I110) [I107 <= 1]
15.40/15.46	
15.40/15.46	The dependency graph for this problem is:
15.40/15.46	  0 -> 1
15.40/15.46	  1 -> 2, 3
15.40/15.46	  2 -> 4, 5
15.40/15.46	  3 -> 7
15.40/15.46	  4 -> 8, 9
15.40/15.46	  5 -> 7
15.40/15.46	  6 -> 7
15.40/15.46	  7 -> 6
15.40/15.46	  8 -> 10, 11
15.40/15.46	  9 -> 2, 3
15.40/15.46	  10 -> 2, 3
15.40/15.46	  11 -> 7
15.40/15.46	Where:
15.40/15.46	  0) f8#(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10) -> f7#(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10) 
15.40/15.46	  1) f7#(I0, I1, I2, I3, I4, I5, I6, I7, I8, I9) -> f3#(I0, 0, 1, 0, I4, rnd6, I6, rnd8, I8, 0) [rnd6 = rnd6 /\ rnd8 = rnd8]
15.40/15.46	  2) f3#(I10, I11, I12, I13, I14, I15, I16, I17, I18, I19) -> f6#(rnd1, I11, 1, I13, I14, I15, I16, I17, I18, 0) [rnd1 = rnd1 /\ 1 + I17 <= I15]
15.40/15.46	  3) f3#(I20, I21, I22, I23, I24, I25, I26, I27, I28, I29) -> f2#(I20, I21, I22, I23, I24, I25, I26, I27, I28, 0) [I25 <= I27]
15.40/15.46	  4) f6#(I30, I31, I32, I33, I34, I35, I36, I37, I38, I39) -> f4#(I30, 1, I32, I33, I34, I35, rnd7, I37, I38, I39) [rnd7 = rnd7 /\ 1 <= I30]
15.40/15.46	  5) f6#(I40, I41, I42, I43, I44, I45, I46, I47, I48, I49) -> f2#(I40, I41, I42, I43, I44, I45, I46, I47, I48, I49) [I40 <= 0]
15.40/15.46	  6) f5#(I50, I51, I52, I53, I54, I55, I56, I57, I58, I59) -> f2#(I50, I51, I52, I53, I54, I55, I56, I57, I58, I59) 
15.40/15.46	  7) f2#(I60, I61, I62, I63, I64, I65, I66, I67, I68, I69) -> f5#(I60, I61, I62, 1, I64, I65, I66, I67, 0, I69) 
15.40/15.46	  8) f4#(I70, I71, I72, I73, I74, I75, I76, I77, I78, I79) -> f1#(I70, 0, I72, I73, 0, I75, I80, I77, I78, I79) [I80 = I80 /\ 2 <= I76]
15.40/15.46	  9) f4#(I81, I82, I83, I84, I85, I86, I87, I88, I89, I90) -> f3#(I81, 0, I83, I84, I85, I86, I87, 1 + I88, I89, 1) [I87 <= 1]
15.40/15.46	  10) f1#(I91, I92, I93, I94, I95, I96, I97, I98, I99, I100) -> f3#(I91, I92, I93, I94, I95, I96, I97, I98, 1 + I99, I100) [2 <= I97]
15.40/15.46	  11) f1#(I101, I102, I103, I104, I105, I106, I107, I108, I109, I110) -> f2#(I101, I102, I103, I104, I105, I106, I107, I108, I109, I110) [I107 <= 1]
15.40/15.46	
15.40/15.46	We have the following SCCs.
15.40/15.46	  { 2, 4, 8, 9, 10 }
15.40/15.46	  { 6, 7 }
15.40/15.46	
15.40/15.46	DP problem for innermost termination.
15.40/15.46	P =
15.40/15.46	  f5#(I50, I51, I52, I53, I54, I55, I56, I57, I58, I59) -> f2#(I50, I51, I52, I53, I54, I55, I56, I57, I58, I59) 
15.40/15.46	  f2#(I60, I61, I62, I63, I64, I65, I66, I67, I68, I69) -> f5#(I60, I61, I62, 1, I64, I65, I66, I67, 0, I69) 
15.40/15.46	R = 
15.40/15.46	  f8(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10) -> f7(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10) 
15.40/15.46	  f7(I0, I1, I2, I3, I4, I5, I6, I7, I8, I9) -> f3(I0, 0, 1, 0, I4, rnd6, I6, rnd8, I8, 0) [rnd6 = rnd6 /\ rnd8 = rnd8]
15.40/15.46	  f3(I10, I11, I12, I13, I14, I15, I16, I17, I18, I19) -> f6(rnd1, I11, 1, I13, I14, I15, I16, I17, I18, 0) [rnd1 = rnd1 /\ 1 + I17 <= I15]
15.40/15.46	  f3(I20, I21, I22, I23, I24, I25, I26, I27, I28, I29) -> f2(I20, I21, I22, I23, I24, I25, I26, I27, I28, 0) [I25 <= I27]
15.40/15.46	  f6(I30, I31, I32, I33, I34, I35, I36, I37, I38, I39) -> f4(I30, 1, I32, I33, I34, I35, rnd7, I37, I38, I39) [rnd7 = rnd7 /\ 1 <= I30]
15.40/15.46	  f6(I40, I41, I42, I43, I44, I45, I46, I47, I48, I49) -> f2(I40, I41, I42, I43, I44, I45, I46, I47, I48, I49) [I40 <= 0]
15.40/15.46	  f5(I50, I51, I52, I53, I54, I55, I56, I57, I58, I59) -> f2(I50, I51, I52, I53, I54, I55, I56, I57, I58, I59) 
15.40/15.46	  f2(I60, I61, I62, I63, I64, I65, I66, I67, I68, I69) -> f5(I60, I61, I62, 1, I64, I65, I66, I67, 0, I69) 
15.40/15.46	  f4(I70, I71, I72, I73, I74, I75, I76, I77, I78, I79) -> f1(I70, 0, I72, I73, 0, I75, I80, I77, I78, I79) [I80 = I80 /\ 2 <= I76]
15.40/15.46	  f4(I81, I82, I83, I84, I85, I86, I87, I88, I89, I90) -> f3(I81, 0, I83, I84, I85, I86, I87, 1 + I88, I89, 1) [I87 <= 1]
15.40/15.46	  f1(I91, I92, I93, I94, I95, I96, I97, I98, I99, I100) -> f3(I91, I92, I93, I94, I95, I96, I97, I98, 1 + I99, I100) [2 <= I97]
15.40/15.46	  f1(I101, I102, I103, I104, I105, I106, I107, I108, I109, I110) -> f2(I101, I102, I103, I104, I105, I106, I107, I108, I109, I110) [I107 <= 1]
15.40/15.46	
15.40/18.43	EOF