67.05/66.42	MAYBE
67.05/66.42	
67.05/66.42	DP problem for innermost termination.
67.05/66.42	P =
67.05/66.42	  f8#(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11) -> f7#(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11) 
67.05/66.42	  f7#(I0, I1, I2, I3, I4, I5, I6, I7, I8, I9, I10) -> f1#(I0, I1, I2, I3, I4, I5, rnd7, rnd8, I8, rnd10, rnd11) [rnd7 = rnd11 /\ rnd8 = rnd10 /\ rnd10 = rnd10 /\ rnd11 = rnd11]
67.05/66.42	  f6#(I11, I12, I13, I14, I15, I16, I17, I18, I19, I20, I21) -> f1#(I11, I12, I13, I14, I15, I16, I17, I18, I19, I20, I21) 
67.05/66.42	  f5#(I22, I23, I24, I25, I26, I27, I28, I29, I30, I31, I32) -> f6#(I22, I23, I24, rnd4, I26, I27, I28, I29, I30, I31, I32) [y1 = I23 /\ rnd4 = rnd4]
67.05/66.42	  f4#(I33, I34, I35, I36, I37, I38, I39, I40, I41, I42, I43) -> f5#(I33, I34, I35, I36, I37, I38, I39, I40, I41, I42, I43) [1 <= I41]
67.05/66.42	  f4#(I44, I45, I46, I47, I48, I49, I50, I51, I52, I53, I54) -> f5#(I44, I45, I46, I47, I48, I49, I50, I51, I52, I53, I54) [1 + I52 <= 0]
67.05/66.42	  f1#(I55, I56, I57, I58, I59, I60, I61, I62, I63, I64, I65) -> f4#(I55, I56, I57, I58, rnd5, rnd6, I61, I62, rnd9, I64, I65) [I66 = I56 /\ y2 = I57 /\ 0 <= -1 - I66 + y2 /\ rnd5 = rnd5 /\ rnd6 = rnd6 /\ rnd9 = rnd9]
67.05/66.42	  f3#(I67, I68, I69, I70, I71, I72, I73, I74, I75, I76, I77) -> f1#(I67, I68, I69, I70, I71, I72, I73, I74, I75, I76, I77) 
67.05/66.42	  f1#(I78, I79, I80, I81, I82, I83, I84, I85, I86, I87, I88) -> f3#(I78, I79, I80, I81, I89, I90, I84, I85, I91, I87, I88) [I92 = I79 /\ I93 = I80 /\ 0 <= -1 - I92 + I93 /\ I89 = I89 /\ I90 = I90 /\ I91 = I91 /\ I91 <= 0 /\ 0 <= I91]
67.05/66.42	R = 
67.05/66.42	  f8(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11) -> f7(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11) 
67.05/66.42	  f7(I0, I1, I2, I3, I4, I5, I6, I7, I8, I9, I10) -> f1(I0, I1, I2, I3, I4, I5, rnd7, rnd8, I8, rnd10, rnd11) [rnd7 = rnd11 /\ rnd8 = rnd10 /\ rnd10 = rnd10 /\ rnd11 = rnd11]
67.05/66.42	  f6(I11, I12, I13, I14, I15, I16, I17, I18, I19, I20, I21) -> f1(I11, I12, I13, I14, I15, I16, I17, I18, I19, I20, I21) 
67.05/66.42	  f5(I22, I23, I24, I25, I26, I27, I28, I29, I30, I31, I32) -> f6(I22, I23, I24, rnd4, I26, I27, I28, I29, I30, I31, I32) [y1 = I23 /\ rnd4 = rnd4]
67.05/66.42	  f4(I33, I34, I35, I36, I37, I38, I39, I40, I41, I42, I43) -> f5(I33, I34, I35, I36, I37, I38, I39, I40, I41, I42, I43) [1 <= I41]
67.05/66.42	  f4(I44, I45, I46, I47, I48, I49, I50, I51, I52, I53, I54) -> f5(I44, I45, I46, I47, I48, I49, I50, I51, I52, I53, I54) [1 + I52 <= 0]
67.05/66.42	  f1(I55, I56, I57, I58, I59, I60, I61, I62, I63, I64, I65) -> f4(I55, I56, I57, I58, rnd5, rnd6, I61, I62, rnd9, I64, I65) [I66 = I56 /\ y2 = I57 /\ 0 <= -1 - I66 + y2 /\ rnd5 = rnd5 /\ rnd6 = rnd6 /\ rnd9 = rnd9]
67.05/66.42	  f3(I67, I68, I69, I70, I71, I72, I73, I74, I75, I76, I77) -> f1(I67, I68, I69, I70, I71, I72, I73, I74, I75, I76, I77) 
67.05/66.42	  f1(I78, I79, I80, I81, I82, I83, I84, I85, I86, I87, I88) -> f3(I78, I79, I80, I81, I89, I90, I84, I85, I91, I87, I88) [I92 = I79 /\ I93 = I80 /\ 0 <= -1 - I92 + I93 /\ I89 = I89 /\ I90 = I90 /\ I91 = I91 /\ I91 <= 0 /\ 0 <= I91]
67.05/66.42	  f1(I94, I95, I96, I97, I98, I99, I100, I101, I102, I103, I104) -> f2(rnd1, I95, I96, I97, I105, I106, I100, I101, I102, I103, I104) [I107 = I95 /\ I108 = I96 /\ -1 * I107 + I108 <= 0 /\ I105 = I105 /\ I106 = I106 /\ rnd1 = rnd1]
67.05/66.42	
67.05/66.42	The dependency graph for this problem is:
67.05/66.42	  0 -> 1
67.05/66.42	  1 -> 6, 8
67.05/66.42	  2 -> 6, 8
67.05/66.42	  3 -> 2
67.05/66.42	  4 -> 3
67.05/66.42	  5 -> 3
67.05/66.42	  6 -> 4, 5
67.05/66.42	  7 -> 6, 8
67.05/66.42	  8 -> 7
67.05/66.42	Where:
67.05/66.42	  0) f8#(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11) -> f7#(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11) 
67.05/66.42	  1) f7#(I0, I1, I2, I3, I4, I5, I6, I7, I8, I9, I10) -> f1#(I0, I1, I2, I3, I4, I5, rnd7, rnd8, I8, rnd10, rnd11) [rnd7 = rnd11 /\ rnd8 = rnd10 /\ rnd10 = rnd10 /\ rnd11 = rnd11]
67.05/66.42	  2) f6#(I11, I12, I13, I14, I15, I16, I17, I18, I19, I20, I21) -> f1#(I11, I12, I13, I14, I15, I16, I17, I18, I19, I20, I21) 
67.05/66.42	  3) f5#(I22, I23, I24, I25, I26, I27, I28, I29, I30, I31, I32) -> f6#(I22, I23, I24, rnd4, I26, I27, I28, I29, I30, I31, I32) [y1 = I23 /\ rnd4 = rnd4]
67.05/66.42	  4) f4#(I33, I34, I35, I36, I37, I38, I39, I40, I41, I42, I43) -> f5#(I33, I34, I35, I36, I37, I38, I39, I40, I41, I42, I43) [1 <= I41]
67.05/66.42	  5) f4#(I44, I45, I46, I47, I48, I49, I50, I51, I52, I53, I54) -> f5#(I44, I45, I46, I47, I48, I49, I50, I51, I52, I53, I54) [1 + I52 <= 0]
67.05/66.42	  6) f1#(I55, I56, I57, I58, I59, I60, I61, I62, I63, I64, I65) -> f4#(I55, I56, I57, I58, rnd5, rnd6, I61, I62, rnd9, I64, I65) [I66 = I56 /\ y2 = I57 /\ 0 <= -1 - I66 + y2 /\ rnd5 = rnd5 /\ rnd6 = rnd6 /\ rnd9 = rnd9]
67.05/66.42	  7) f3#(I67, I68, I69, I70, I71, I72, I73, I74, I75, I76, I77) -> f1#(I67, I68, I69, I70, I71, I72, I73, I74, I75, I76, I77) 
67.05/66.42	  8) f1#(I78, I79, I80, I81, I82, I83, I84, I85, I86, I87, I88) -> f3#(I78, I79, I80, I81, I89, I90, I84, I85, I91, I87, I88) [I92 = I79 /\ I93 = I80 /\ 0 <= -1 - I92 + I93 /\ I89 = I89 /\ I90 = I90 /\ I91 = I91 /\ I91 <= 0 /\ 0 <= I91]
67.05/66.42	
67.05/66.42	We have the following SCCs.
67.05/66.42	  { 2, 3, 4, 5, 6, 7, 8 }
67.05/66.42	
67.05/66.42	DP problem for innermost termination.
67.05/66.42	P =
67.05/66.42	  f6#(I11, I12, I13, I14, I15, I16, I17, I18, I19, I20, I21) -> f1#(I11, I12, I13, I14, I15, I16, I17, I18, I19, I20, I21) 
67.05/66.42	  f5#(I22, I23, I24, I25, I26, I27, I28, I29, I30, I31, I32) -> f6#(I22, I23, I24, rnd4, I26, I27, I28, I29, I30, I31, I32) [y1 = I23 /\ rnd4 = rnd4]
67.05/66.42	  f4#(I33, I34, I35, I36, I37, I38, I39, I40, I41, I42, I43) -> f5#(I33, I34, I35, I36, I37, I38, I39, I40, I41, I42, I43) [1 <= I41]
67.05/66.42	  f4#(I44, I45, I46, I47, I48, I49, I50, I51, I52, I53, I54) -> f5#(I44, I45, I46, I47, I48, I49, I50, I51, I52, I53, I54) [1 + I52 <= 0]
67.05/66.42	  f1#(I55, I56, I57, I58, I59, I60, I61, I62, I63, I64, I65) -> f4#(I55, I56, I57, I58, rnd5, rnd6, I61, I62, rnd9, I64, I65) [I66 = I56 /\ y2 = I57 /\ 0 <= -1 - I66 + y2 /\ rnd5 = rnd5 /\ rnd6 = rnd6 /\ rnd9 = rnd9]
67.05/66.42	  f3#(I67, I68, I69, I70, I71, I72, I73, I74, I75, I76, I77) -> f1#(I67, I68, I69, I70, I71, I72, I73, I74, I75, I76, I77) 
67.05/66.42	  f1#(I78, I79, I80, I81, I82, I83, I84, I85, I86, I87, I88) -> f3#(I78, I79, I80, I81, I89, I90, I84, I85, I91, I87, I88) [I92 = I79 /\ I93 = I80 /\ 0 <= -1 - I92 + I93 /\ I89 = I89 /\ I90 = I90 /\ I91 = I91 /\ I91 <= 0 /\ 0 <= I91]
67.05/66.42	R = 
67.05/66.42	  f8(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11) -> f7(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11) 
67.05/66.42	  f7(I0, I1, I2, I3, I4, I5, I6, I7, I8, I9, I10) -> f1(I0, I1, I2, I3, I4, I5, rnd7, rnd8, I8, rnd10, rnd11) [rnd7 = rnd11 /\ rnd8 = rnd10 /\ rnd10 = rnd10 /\ rnd11 = rnd11]
67.05/66.42	  f6(I11, I12, I13, I14, I15, I16, I17, I18, I19, I20, I21) -> f1(I11, I12, I13, I14, I15, I16, I17, I18, I19, I20, I21) 
67.05/66.42	  f5(I22, I23, I24, I25, I26, I27, I28, I29, I30, I31, I32) -> f6(I22, I23, I24, rnd4, I26, I27, I28, I29, I30, I31, I32) [y1 = I23 /\ rnd4 = rnd4]
67.05/66.42	  f4(I33, I34, I35, I36, I37, I38, I39, I40, I41, I42, I43) -> f5(I33, I34, I35, I36, I37, I38, I39, I40, I41, I42, I43) [1 <= I41]
67.05/66.42	  f4(I44, I45, I46, I47, I48, I49, I50, I51, I52, I53, I54) -> f5(I44, I45, I46, I47, I48, I49, I50, I51, I52, I53, I54) [1 + I52 <= 0]
67.05/66.42	  f1(I55, I56, I57, I58, I59, I60, I61, I62, I63, I64, I65) -> f4(I55, I56, I57, I58, rnd5, rnd6, I61, I62, rnd9, I64, I65) [I66 = I56 /\ y2 = I57 /\ 0 <= -1 - I66 + y2 /\ rnd5 = rnd5 /\ rnd6 = rnd6 /\ rnd9 = rnd9]
67.05/66.42	  f3(I67, I68, I69, I70, I71, I72, I73, I74, I75, I76, I77) -> f1(I67, I68, I69, I70, I71, I72, I73, I74, I75, I76, I77) 
67.05/66.42	  f1(I78, I79, I80, I81, I82, I83, I84, I85, I86, I87, I88) -> f3(I78, I79, I80, I81, I89, I90, I84, I85, I91, I87, I88) [I92 = I79 /\ I93 = I80 /\ 0 <= -1 - I92 + I93 /\ I89 = I89 /\ I90 = I90 /\ I91 = I91 /\ I91 <= 0 /\ 0 <= I91]
67.05/66.42	  f1(I94, I95, I96, I97, I98, I99, I100, I101, I102, I103, I104) -> f2(rnd1, I95, I96, I97, I105, I106, I100, I101, I102, I103, I104) [I107 = I95 /\ I108 = I96 /\ -1 * I107 + I108 <= 0 /\ I105 = I105 /\ I106 = I106 /\ rnd1 = rnd1]
67.05/66.42	
67.05/69.40	EOF