11.08/11.31	MAYBE
11.08/11.31	
11.08/11.31	DP problem for innermost termination.
11.08/11.31	P =
11.08/11.31	  f11#(x1, x2, x3, x4, x5, x6, x7, x8, x9) -> f10#(x1, x2, x3, x4, x5, x6, x7, x8, x9) 
11.08/11.31	  f10#(I0, I1, I2, I3, I4, I5, I6, I7, I8) -> f4#(I0, I1, I2, I3, I4, 0, 0, I7, I8) 
11.08/11.31	  f4#(I9, I10, I11, I12, I13, I14, I15, I16, I17) -> f9#(I9, I10, I11, I12, I13, 0, I15, I16, I17) [y1 = 1]
11.08/11.31	  f9#(I18, I19, I20, I21, I22, I23, I24, I25, I26) -> f8#(I18, I19, I20, I21, -1 + I22, I23, 0, I25, I26) [1 <= I22 /\ I27 = 1]
11.08/11.31	  f9#(I28, I29, I30, I31, I32, I33, I34, I35, I36) -> f1#(I28, I29, I30, I31, I32, I33, 0, I35, I36) [I32 <= 0 /\ I37 = 1]
11.08/11.31	  f8#(I38, I39, I40, I41, I42, I43, I44, I45, I46) -> f7#(I38, rnd2, rnd3, rnd4, I42, I43, I44, I45, I46) [1 <= I38 /\ B0 = B0 /\ rnd3 = rnd3 /\ rnd4 = rnd4 /\ rnd2 = rnd4]
11.08/11.31	  f8#(I47, I48, I49, I50, I51, I52, I53, I54, I55) -> f3#(I47, I48, I49, I50, I51, I52, I53, I54, I55) [I47 <= 0]
11.08/11.31	  f7#(I56, I57, I58, I59, I60, I61, I62, I63, I64) -> f3#(I56, I57, I58, I59, I60, I61, I62, I63, I64) [0 <= I57 /\ I57 <= 0]
11.08/11.31	  f7#(I65, I66, I67, I68, I69, I70, I71, I72, I73) -> f6#(I65, I66, I67, I68, I69, I70, I71, I72, I73) [1 <= I66]
11.08/11.31	  f7#(I74, I75, I76, I77, I78, I79, I80, I81, I82) -> f6#(I74, I75, I76, I77, I78, I79, I80, I81, I82) [1 + I75 <= 0]
11.08/11.31	  f6#(I83, I84, I85, I86, I87, I88, I89, I90, I91) -> f5#(I83, I84, I85, I86, I87, I88, I89, I90, rnd9) [rnd9 = rnd9]
11.08/11.31	  f5#(I92, I93, I94, I95, I96, I97, I98, I99, I100) -> f3#(I92, I93, I94, I95, I96, I97, I98, I99, I100) [I100 <= 0]
11.08/11.31	  f5#(I101, I102, I103, I104, I105, I106, I107, I108, I109) -> f3#(I101, I102, I103, I104, I105, I106, I107, rnd8, I109) [rnd8 = rnd8 /\ 1 <= I109]
11.08/11.31	  f3#(I110, I111, I112, I113, I114, I115, I116, I117, I118) -> f4#(I110, I111, I112, I113, I114, I115, I116, I117, I118) 
11.08/11.31	  f2#(I119, I120, I121, I122, I123, I124, I125, I126, I127) -> f1#(I119, I120, I121, I122, I123, I124, I125, I126, I127) 
11.08/11.31	  f1#(I128, I129, I130, I131, I132, I133, I134, I135, I136) -> f2#(I128, I129, I130, I131, I132, I133, I134, I135, I136) 
11.08/11.31	R = 
11.08/11.31	  f11(x1, x2, x3, x4, x5, x6, x7, x8, x9) -> f10(x1, x2, x3, x4, x5, x6, x7, x8, x9) 
11.08/11.31	  f10(I0, I1, I2, I3, I4, I5, I6, I7, I8) -> f4(I0, I1, I2, I3, I4, 0, 0, I7, I8) 
11.08/11.31	  f4(I9, I10, I11, I12, I13, I14, I15, I16, I17) -> f9(I9, I10, I11, I12, I13, 0, I15, I16, I17) [y1 = 1]
11.08/11.31	  f9(I18, I19, I20, I21, I22, I23, I24, I25, I26) -> f8(I18, I19, I20, I21, -1 + I22, I23, 0, I25, I26) [1 <= I22 /\ I27 = 1]
11.08/11.31	  f9(I28, I29, I30, I31, I32, I33, I34, I35, I36) -> f1(I28, I29, I30, I31, I32, I33, 0, I35, I36) [I32 <= 0 /\ I37 = 1]
11.08/11.31	  f8(I38, I39, I40, I41, I42, I43, I44, I45, I46) -> f7(I38, rnd2, rnd3, rnd4, I42, I43, I44, I45, I46) [1 <= I38 /\ B0 = B0 /\ rnd3 = rnd3 /\ rnd4 = rnd4 /\ rnd2 = rnd4]
11.08/11.31	  f8(I47, I48, I49, I50, I51, I52, I53, I54, I55) -> f3(I47, I48, I49, I50, I51, I52, I53, I54, I55) [I47 <= 0]
11.08/11.31	  f7(I56, I57, I58, I59, I60, I61, I62, I63, I64) -> f3(I56, I57, I58, I59, I60, I61, I62, I63, I64) [0 <= I57 /\ I57 <= 0]
11.08/11.31	  f7(I65, I66, I67, I68, I69, I70, I71, I72, I73) -> f6(I65, I66, I67, I68, I69, I70, I71, I72, I73) [1 <= I66]
11.08/11.31	  f7(I74, I75, I76, I77, I78, I79, I80, I81, I82) -> f6(I74, I75, I76, I77, I78, I79, I80, I81, I82) [1 + I75 <= 0]
11.08/11.31	  f6(I83, I84, I85, I86, I87, I88, I89, I90, I91) -> f5(I83, I84, I85, I86, I87, I88, I89, I90, rnd9) [rnd9 = rnd9]
11.08/11.31	  f5(I92, I93, I94, I95, I96, I97, I98, I99, I100) -> f3(I92, I93, I94, I95, I96, I97, I98, I99, I100) [I100 <= 0]
11.08/11.31	  f5(I101, I102, I103, I104, I105, I106, I107, I108, I109) -> f3(I101, I102, I103, I104, I105, I106, I107, rnd8, I109) [rnd8 = rnd8 /\ 1 <= I109]
11.08/11.31	  f3(I110, I111, I112, I113, I114, I115, I116, I117, I118) -> f4(I110, I111, I112, I113, I114, I115, I116, I117, I118) 
11.08/11.31	  f2(I119, I120, I121, I122, I123, I124, I125, I126, I127) -> f1(I119, I120, I121, I122, I123, I124, I125, I126, I127) 
11.08/11.31	  f1(I128, I129, I130, I131, I132, I133, I134, I135, I136) -> f2(I128, I129, I130, I131, I132, I133, I134, I135, I136) 
11.08/11.31	
11.08/11.31	The dependency graph for this problem is:
11.08/11.31	  0 -> 1
11.08/11.31	  1 -> 2
11.08/11.31	  2 -> 3, 4
11.08/11.31	  3 -> 5, 6
11.08/11.31	  4 -> 15
11.08/11.31	  5 -> 7, 8, 9
11.08/11.31	  6 -> 13
11.08/11.31	  7 -> 13
11.08/11.31	  8 -> 10
11.08/11.31	  9 -> 10
11.08/11.31	  10 -> 11, 12
11.08/11.31	  11 -> 13
11.08/11.31	  12 -> 13
11.08/11.31	  13 -> 2
11.08/11.31	  14 -> 15
11.08/11.31	  15 -> 14
11.08/11.31	Where:
11.08/11.31	  0) f11#(x1, x2, x3, x4, x5, x6, x7, x8, x9) -> f10#(x1, x2, x3, x4, x5, x6, x7, x8, x9) 
11.08/11.31	  1) f10#(I0, I1, I2, I3, I4, I5, I6, I7, I8) -> f4#(I0, I1, I2, I3, I4, 0, 0, I7, I8) 
11.08/11.31	  2) f4#(I9, I10, I11, I12, I13, I14, I15, I16, I17) -> f9#(I9, I10, I11, I12, I13, 0, I15, I16, I17) [y1 = 1]
11.08/11.31	  3) f9#(I18, I19, I20, I21, I22, I23, I24, I25, I26) -> f8#(I18, I19, I20, I21, -1 + I22, I23, 0, I25, I26) [1 <= I22 /\ I27 = 1]
11.08/11.31	  4) f9#(I28, I29, I30, I31, I32, I33, I34, I35, I36) -> f1#(I28, I29, I30, I31, I32, I33, 0, I35, I36) [I32 <= 0 /\ I37 = 1]
11.08/11.31	  5) f8#(I38, I39, I40, I41, I42, I43, I44, I45, I46) -> f7#(I38, rnd2, rnd3, rnd4, I42, I43, I44, I45, I46) [1 <= I38 /\ B0 = B0 /\ rnd3 = rnd3 /\ rnd4 = rnd4 /\ rnd2 = rnd4]
11.08/11.31	  6) f8#(I47, I48, I49, I50, I51, I52, I53, I54, I55) -> f3#(I47, I48, I49, I50, I51, I52, I53, I54, I55) [I47 <= 0]
11.08/11.31	  7) f7#(I56, I57, I58, I59, I60, I61, I62, I63, I64) -> f3#(I56, I57, I58, I59, I60, I61, I62, I63, I64) [0 <= I57 /\ I57 <= 0]
11.08/11.31	  8) f7#(I65, I66, I67, I68, I69, I70, I71, I72, I73) -> f6#(I65, I66, I67, I68, I69, I70, I71, I72, I73) [1 <= I66]
11.08/11.31	  9) f7#(I74, I75, I76, I77, I78, I79, I80, I81, I82) -> f6#(I74, I75, I76, I77, I78, I79, I80, I81, I82) [1 + I75 <= 0]
11.08/11.31	  10) f6#(I83, I84, I85, I86, I87, I88, I89, I90, I91) -> f5#(I83, I84, I85, I86, I87, I88, I89, I90, rnd9) [rnd9 = rnd9]
11.08/11.31	  11) f5#(I92, I93, I94, I95, I96, I97, I98, I99, I100) -> f3#(I92, I93, I94, I95, I96, I97, I98, I99, I100) [I100 <= 0]
11.08/11.31	  12) f5#(I101, I102, I103, I104, I105, I106, I107, I108, I109) -> f3#(I101, I102, I103, I104, I105, I106, I107, rnd8, I109) [rnd8 = rnd8 /\ 1 <= I109]
11.08/11.31	  13) f3#(I110, I111, I112, I113, I114, I115, I116, I117, I118) -> f4#(I110, I111, I112, I113, I114, I115, I116, I117, I118) 
11.08/11.31	  14) f2#(I119, I120, I121, I122, I123, I124, I125, I126, I127) -> f1#(I119, I120, I121, I122, I123, I124, I125, I126, I127) 
11.08/11.31	  15) f1#(I128, I129, I130, I131, I132, I133, I134, I135, I136) -> f2#(I128, I129, I130, I131, I132, I133, I134, I135, I136) 
11.08/11.31	
11.08/11.31	We have the following SCCs.
11.08/11.31	  { 2, 3, 5, 6, 7, 8, 9, 10, 11, 12, 13 }
11.08/11.31	  { 14, 15 }
11.08/11.31	
11.08/11.31	DP problem for innermost termination.
11.08/11.31	P =
11.08/11.31	  f2#(I119, I120, I121, I122, I123, I124, I125, I126, I127) -> f1#(I119, I120, I121, I122, I123, I124, I125, I126, I127) 
11.08/11.31	  f1#(I128, I129, I130, I131, I132, I133, I134, I135, I136) -> f2#(I128, I129, I130, I131, I132, I133, I134, I135, I136) 
11.08/11.31	R = 
11.08/11.31	  f11(x1, x2, x3, x4, x5, x6, x7, x8, x9) -> f10(x1, x2, x3, x4, x5, x6, x7, x8, x9) 
11.08/11.31	  f10(I0, I1, I2, I3, I4, I5, I6, I7, I8) -> f4(I0, I1, I2, I3, I4, 0, 0, I7, I8) 
11.08/11.31	  f4(I9, I10, I11, I12, I13, I14, I15, I16, I17) -> f9(I9, I10, I11, I12, I13, 0, I15, I16, I17) [y1 = 1]
11.08/11.31	  f9(I18, I19, I20, I21, I22, I23, I24, I25, I26) -> f8(I18, I19, I20, I21, -1 + I22, I23, 0, I25, I26) [1 <= I22 /\ I27 = 1]
11.08/11.31	  f9(I28, I29, I30, I31, I32, I33, I34, I35, I36) -> f1(I28, I29, I30, I31, I32, I33, 0, I35, I36) [I32 <= 0 /\ I37 = 1]
11.08/11.31	  f8(I38, I39, I40, I41, I42, I43, I44, I45, I46) -> f7(I38, rnd2, rnd3, rnd4, I42, I43, I44, I45, I46) [1 <= I38 /\ B0 = B0 /\ rnd3 = rnd3 /\ rnd4 = rnd4 /\ rnd2 = rnd4]
11.08/11.31	  f8(I47, I48, I49, I50, I51, I52, I53, I54, I55) -> f3(I47, I48, I49, I50, I51, I52, I53, I54, I55) [I47 <= 0]
11.08/11.31	  f7(I56, I57, I58, I59, I60, I61, I62, I63, I64) -> f3(I56, I57, I58, I59, I60, I61, I62, I63, I64) [0 <= I57 /\ I57 <= 0]
11.08/11.31	  f7(I65, I66, I67, I68, I69, I70, I71, I72, I73) -> f6(I65, I66, I67, I68, I69, I70, I71, I72, I73) [1 <= I66]
11.08/11.31	  f7(I74, I75, I76, I77, I78, I79, I80, I81, I82) -> f6(I74, I75, I76, I77, I78, I79, I80, I81, I82) [1 + I75 <= 0]
11.08/11.31	  f6(I83, I84, I85, I86, I87, I88, I89, I90, I91) -> f5(I83, I84, I85, I86, I87, I88, I89, I90, rnd9) [rnd9 = rnd9]
11.08/11.31	  f5(I92, I93, I94, I95, I96, I97, I98, I99, I100) -> f3(I92, I93, I94, I95, I96, I97, I98, I99, I100) [I100 <= 0]
11.08/11.31	  f5(I101, I102, I103, I104, I105, I106, I107, I108, I109) -> f3(I101, I102, I103, I104, I105, I106, I107, rnd8, I109) [rnd8 = rnd8 /\ 1 <= I109]
11.08/11.31	  f3(I110, I111, I112, I113, I114, I115, I116, I117, I118) -> f4(I110, I111, I112, I113, I114, I115, I116, I117, I118) 
11.08/11.31	  f2(I119, I120, I121, I122, I123, I124, I125, I126, I127) -> f1(I119, I120, I121, I122, I123, I124, I125, I126, I127) 
11.08/11.31	  f1(I128, I129, I130, I131, I132, I133, I134, I135, I136) -> f2(I128, I129, I130, I131, I132, I133, I134, I135, I136) 
11.08/11.31	
11.08/14.29	EOF