75.01/73.86	MAYBE
75.01/73.86	
75.01/73.86	DP problem for innermost termination.
75.01/73.86	P =
75.01/73.86	  f16#(x1, x2, x3, x4, x5, x6) -> f9#(x1, x2, x3, x4, x5, x6) 
75.01/73.86	  f9#(I0, I1, I2, I3, I4, I5) -> f6#(I0, I1, I3, I3, I4, I5) 
75.01/73.86	  f2#(I6, I7, I8, I9, I10, I11) -> f15#(I6, I7, I8, I9, I10, I11) 
75.01/73.86	  f15#(I12, I13, I14, I15, I16, I17) -> f14#(I12, I13, I14, I15, rnd5, I17) [rnd5 = rnd5]
75.01/73.86	  f14#(I18, I19, I20, I21, I22, I23) -> f13#(I18, I19, I20, I21, I22, I23) [1 + I22 <= 0]
75.01/73.86	  f14#(I24, I25, I26, I27, I28, I29) -> f13#(I24, I25, I26, I27, I28, I29) [1 <= I28]
75.01/73.86	  f14#(I30, I31, I32, I33, I34, I35) -> f12#(I30, I31, I32, I33, I34, I35) [0 <= I34 /\ I34 <= 0]
75.01/73.86	  f13#(I36, I37, I38, I39, I40, I41) -> f12#(I36, I37, I38, 1 + I39, I40, I41) 
75.01/73.86	  f12#(I42, I43, I44, I45, I46, I47) -> f11#(I42, I43, I44, I45, I46, rnd6) [rnd6 = rnd6]
75.01/73.86	  f11#(I48, I49, I50, I51, I52, I53) -> f10#(I48, I49, I50, I51, I52, I53) [1 + I53 <= 0]
75.01/73.86	  f11#(I54, I55, I56, I57, I58, I59) -> f10#(I54, I55, I56, I57, I58, I59) [1 <= I59]
75.01/73.86	  f11#(I60, I61, I62, I63, I64, I65) -> f4#(I60, I61, I62, I63, I64, I65) [0 <= I65 /\ I65 <= 0]
75.01/73.86	  f10#(I66, I67, I68, I69, I70, I71) -> f4#(1 + I66, I67, I68, I69, I70, I71) 
75.01/73.86	  f4#(I72, I73, I74, I75, I76, I77) -> f7#(I72, I73, I74, I75, I76, I77) [I74 <= I75 /\ I75 <= I74]
75.01/73.86	  f4#(I78, I79, I80, I81, I82, I83) -> f9#(I78, I79, I80, I81, I82, I83) [1 + I81 <= I80]
75.01/73.86	  f4#(I84, I85, I86, I87, I88, I89) -> f9#(I84, I85, I86, I87, I88, I89) [1 + I86 <= I87]
75.01/73.86	  f6#(I96, I97, I98, I99, I100, I101) -> f7#(I96, I97, I98, I99, I100, I101) [I97 <= I96]
75.01/73.86	  f6#(I102, I103, I104, I105, I106, I107) -> f5#(I102, I103, I104, I105, I106, I107) [1 + I102 <= I103]
75.01/73.86	  f5#(I108, I109, I110, I111, I112, I113) -> f4#(I108, I109, I110, I111, I112, I113) 
75.01/73.86	  f5#(I114, I115, I116, I117, I118, I119) -> f3#(I114, I115, I116, I117, I118, I119) 
75.01/73.86	  f5#(I120, I121, I122, I123, I124, I125) -> f3#(I120, I121, I122, I123, I124, I125) 
75.01/73.86	  f3#(I126, I127, I128, I129, I130, I131) -> f4#(I126, I127, I128, I129, I130, I131) 
75.01/73.86	  f3#(I132, I133, I134, I135, I136, I137) -> f1#(I132, I133, I134, I135, I136, I137) 
75.01/73.86	  f3#(I138, I139, I140, I141, I142, I143) -> f1#(I138, I139, I140, I141, I142, I143) 
75.01/73.86	  f1#(I144, I145, I146, I147, I148, I149) -> f2#(I144, I145, I146, I147, I148, I149) 
75.01/73.86	R = 
75.01/73.86	  f16(x1, x2, x3, x4, x5, x6) -> f9(x1, x2, x3, x4, x5, x6) 
75.01/73.86	  f9(I0, I1, I2, I3, I4, I5) -> f6(I0, I1, I3, I3, I4, I5) 
75.01/73.86	  f2(I6, I7, I8, I9, I10, I11) -> f15(I6, I7, I8, I9, I10, I11) 
75.01/73.86	  f15(I12, I13, I14, I15, I16, I17) -> f14(I12, I13, I14, I15, rnd5, I17) [rnd5 = rnd5]
75.01/73.86	  f14(I18, I19, I20, I21, I22, I23) -> f13(I18, I19, I20, I21, I22, I23) [1 + I22 <= 0]
75.01/73.86	  f14(I24, I25, I26, I27, I28, I29) -> f13(I24, I25, I26, I27, I28, I29) [1 <= I28]
75.01/73.86	  f14(I30, I31, I32, I33, I34, I35) -> f12(I30, I31, I32, I33, I34, I35) [0 <= I34 /\ I34 <= 0]
75.01/73.86	  f13(I36, I37, I38, I39, I40, I41) -> f12(I36, I37, I38, 1 + I39, I40, I41) 
75.01/73.86	  f12(I42, I43, I44, I45, I46, I47) -> f11(I42, I43, I44, I45, I46, rnd6) [rnd6 = rnd6]
75.01/73.86	  f11(I48, I49, I50, I51, I52, I53) -> f10(I48, I49, I50, I51, I52, I53) [1 + I53 <= 0]
75.01/73.86	  f11(I54, I55, I56, I57, I58, I59) -> f10(I54, I55, I56, I57, I58, I59) [1 <= I59]
75.01/73.86	  f11(I60, I61, I62, I63, I64, I65) -> f4(I60, I61, I62, I63, I64, I65) [0 <= I65 /\ I65 <= 0]
75.01/73.86	  f10(I66, I67, I68, I69, I70, I71) -> f4(1 + I66, I67, I68, I69, I70, I71) 
75.01/73.86	  f4(I72, I73, I74, I75, I76, I77) -> f7(I72, I73, I74, I75, I76, I77) [I74 <= I75 /\ I75 <= I74]
75.01/73.86	  f4(I78, I79, I80, I81, I82, I83) -> f9(I78, I79, I80, I81, I82, I83) [1 + I81 <= I80]
75.01/73.86	  f4(I84, I85, I86, I87, I88, I89) -> f9(I84, I85, I86, I87, I88, I89) [1 + I86 <= I87]
75.01/73.86	  f7(I90, I91, I92, I93, I94, I95) -> f8(I90, I91, I92, I93, I94, I95) 
75.01/73.86	  f6(I96, I97, I98, I99, I100, I101) -> f7(I96, I97, I98, I99, I100, I101) [I97 <= I96]
75.01/73.86	  f6(I102, I103, I104, I105, I106, I107) -> f5(I102, I103, I104, I105, I106, I107) [1 + I102 <= I103]
75.01/73.86	  f5(I108, I109, I110, I111, I112, I113) -> f4(I108, I109, I110, I111, I112, I113) 
75.01/73.86	  f5(I114, I115, I116, I117, I118, I119) -> f3(I114, I115, I116, I117, I118, I119) 
75.01/73.86	  f5(I120, I121, I122, I123, I124, I125) -> f3(I120, I121, I122, I123, I124, I125) 
75.01/73.86	  f3(I126, I127, I128, I129, I130, I131) -> f4(I126, I127, I128, I129, I130, I131) 
75.01/73.86	  f3(I132, I133, I134, I135, I136, I137) -> f1(I132, I133, I134, I135, I136, I137) 
75.01/73.86	  f3(I138, I139, I140, I141, I142, I143) -> f1(I138, I139, I140, I141, I142, I143) 
75.01/73.86	  f1(I144, I145, I146, I147, I148, I149) -> f2(I144, I145, I146, I147, I148, I149) 
75.01/73.86	
75.01/73.86	The dependency graph for this problem is:
75.01/73.86	  0 -> 1
75.01/73.86	  1 -> 16, 17
75.01/73.86	  2 -> 3
75.01/73.86	  3 -> 4, 5, 6
75.01/73.86	  4 -> 7
75.01/73.86	  5 -> 7
75.01/73.86	  6 -> 8
75.01/73.86	  7 -> 8
75.01/73.86	  8 -> 9, 10, 11
75.01/73.86	  9 -> 12
75.01/73.86	  10 -> 12
75.01/73.86	  11 -> 13, 14, 15
75.01/73.86	  12 -> 13, 14, 15
75.01/73.86	  13 -> 
75.01/73.86	  14 -> 1
75.01/73.86	  15 -> 1
75.01/73.86	  16 -> 
75.01/73.86	  17 -> 18, 19, 20
75.01/73.86	  18 -> 13, 14, 15
75.01/73.86	  19 -> 21, 22, 23
75.01/73.86	  20 -> 21, 22, 23
75.01/73.86	  21 -> 13, 14, 15
75.01/73.86	  22 -> 24
75.01/73.86	  23 -> 24
75.01/73.86	  24 -> 2
75.01/73.86	Where:
75.01/73.86	  0) f16#(x1, x2, x3, x4, x5, x6) -> f9#(x1, x2, x3, x4, x5, x6) 
75.01/73.86	  1) f9#(I0, I1, I2, I3, I4, I5) -> f6#(I0, I1, I3, I3, I4, I5) 
75.01/73.86	  2) f2#(I6, I7, I8, I9, I10, I11) -> f15#(I6, I7, I8, I9, I10, I11) 
75.01/73.86	  3) f15#(I12, I13, I14, I15, I16, I17) -> f14#(I12, I13, I14, I15, rnd5, I17) [rnd5 = rnd5]
75.01/73.86	  4) f14#(I18, I19, I20, I21, I22, I23) -> f13#(I18, I19, I20, I21, I22, I23) [1 + I22 <= 0]
75.01/73.86	  5) f14#(I24, I25, I26, I27, I28, I29) -> f13#(I24, I25, I26, I27, I28, I29) [1 <= I28]
75.01/73.86	  6) f14#(I30, I31, I32, I33, I34, I35) -> f12#(I30, I31, I32, I33, I34, I35) [0 <= I34 /\ I34 <= 0]
75.01/73.86	  7) f13#(I36, I37, I38, I39, I40, I41) -> f12#(I36, I37, I38, 1 + I39, I40, I41) 
75.01/73.86	  8) f12#(I42, I43, I44, I45, I46, I47) -> f11#(I42, I43, I44, I45, I46, rnd6) [rnd6 = rnd6]
75.01/73.86	  9) f11#(I48, I49, I50, I51, I52, I53) -> f10#(I48, I49, I50, I51, I52, I53) [1 + I53 <= 0]
75.01/73.86	  10) f11#(I54, I55, I56, I57, I58, I59) -> f10#(I54, I55, I56, I57, I58, I59) [1 <= I59]
75.01/73.86	  11) f11#(I60, I61, I62, I63, I64, I65) -> f4#(I60, I61, I62, I63, I64, I65) [0 <= I65 /\ I65 <= 0]
75.01/73.86	  12) f10#(I66, I67, I68, I69, I70, I71) -> f4#(1 + I66, I67, I68, I69, I70, I71) 
75.01/73.86	  13) f4#(I72, I73, I74, I75, I76, I77) -> f7#(I72, I73, I74, I75, I76, I77) [I74 <= I75 /\ I75 <= I74]
75.01/73.86	  14) f4#(I78, I79, I80, I81, I82, I83) -> f9#(I78, I79, I80, I81, I82, I83) [1 + I81 <= I80]
75.01/73.86	  15) f4#(I84, I85, I86, I87, I88, I89) -> f9#(I84, I85, I86, I87, I88, I89) [1 + I86 <= I87]
75.01/73.86	  16) f6#(I96, I97, I98, I99, I100, I101) -> f7#(I96, I97, I98, I99, I100, I101) [I97 <= I96]
75.01/73.86	  17) f6#(I102, I103, I104, I105, I106, I107) -> f5#(I102, I103, I104, I105, I106, I107) [1 + I102 <= I103]
75.01/73.86	  18) f5#(I108, I109, I110, I111, I112, I113) -> f4#(I108, I109, I110, I111, I112, I113) 
75.01/73.86	  19) f5#(I114, I115, I116, I117, I118, I119) -> f3#(I114, I115, I116, I117, I118, I119) 
75.01/73.86	  20) f5#(I120, I121, I122, I123, I124, I125) -> f3#(I120, I121, I122, I123, I124, I125) 
75.01/73.86	  21) f3#(I126, I127, I128, I129, I130, I131) -> f4#(I126, I127, I128, I129, I130, I131) 
75.01/73.86	  22) f3#(I132, I133, I134, I135, I136, I137) -> f1#(I132, I133, I134, I135, I136, I137) 
75.01/73.86	  23) f3#(I138, I139, I140, I141, I142, I143) -> f1#(I138, I139, I140, I141, I142, I143) 
75.01/73.86	  24) f1#(I144, I145, I146, I147, I148, I149) -> f2#(I144, I145, I146, I147, I148, I149) 
75.01/73.86	
75.01/73.86	We have the following SCCs.
75.01/73.86	  { 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 14, 15, 17, 18, 19, 20, 21, 22, 23, 24 }
75.01/73.86	
75.01/73.86	DP problem for innermost termination.
75.01/73.86	P =
75.01/73.86	  f9#(I0, I1, I2, I3, I4, I5) -> f6#(I0, I1, I3, I3, I4, I5) 
75.01/73.86	  f2#(I6, I7, I8, I9, I10, I11) -> f15#(I6, I7, I8, I9, I10, I11) 
75.01/73.86	  f15#(I12, I13, I14, I15, I16, I17) -> f14#(I12, I13, I14, I15, rnd5, I17) [rnd5 = rnd5]
75.01/73.86	  f14#(I18, I19, I20, I21, I22, I23) -> f13#(I18, I19, I20, I21, I22, I23) [1 + I22 <= 0]
75.01/73.86	  f14#(I24, I25, I26, I27, I28, I29) -> f13#(I24, I25, I26, I27, I28, I29) [1 <= I28]
75.01/73.86	  f14#(I30, I31, I32, I33, I34, I35) -> f12#(I30, I31, I32, I33, I34, I35) [0 <= I34 /\ I34 <= 0]
75.01/73.86	  f13#(I36, I37, I38, I39, I40, I41) -> f12#(I36, I37, I38, 1 + I39, I40, I41) 
75.01/73.86	  f12#(I42, I43, I44, I45, I46, I47) -> f11#(I42, I43, I44, I45, I46, rnd6) [rnd6 = rnd6]
75.01/73.86	  f11#(I48, I49, I50, I51, I52, I53) -> f10#(I48, I49, I50, I51, I52, I53) [1 + I53 <= 0]
75.01/73.86	  f11#(I54, I55, I56, I57, I58, I59) -> f10#(I54, I55, I56, I57, I58, I59) [1 <= I59]
75.01/73.86	  f11#(I60, I61, I62, I63, I64, I65) -> f4#(I60, I61, I62, I63, I64, I65) [0 <= I65 /\ I65 <= 0]
75.01/73.86	  f10#(I66, I67, I68, I69, I70, I71) -> f4#(1 + I66, I67, I68, I69, I70, I71) 
75.01/73.86	  f4#(I78, I79, I80, I81, I82, I83) -> f9#(I78, I79, I80, I81, I82, I83) [1 + I81 <= I80]
75.01/73.86	  f4#(I84, I85, I86, I87, I88, I89) -> f9#(I84, I85, I86, I87, I88, I89) [1 + I86 <= I87]
75.01/73.86	  f6#(I102, I103, I104, I105, I106, I107) -> f5#(I102, I103, I104, I105, I106, I107) [1 + I102 <= I103]
75.01/73.86	  f5#(I108, I109, I110, I111, I112, I113) -> f4#(I108, I109, I110, I111, I112, I113) 
75.01/73.86	  f5#(I114, I115, I116, I117, I118, I119) -> f3#(I114, I115, I116, I117, I118, I119) 
75.01/73.86	  f5#(I120, I121, I122, I123, I124, I125) -> f3#(I120, I121, I122, I123, I124, I125) 
75.01/73.86	  f3#(I126, I127, I128, I129, I130, I131) -> f4#(I126, I127, I128, I129, I130, I131) 
75.01/73.86	  f3#(I132, I133, I134, I135, I136, I137) -> f1#(I132, I133, I134, I135, I136, I137) 
75.01/73.86	  f3#(I138, I139, I140, I141, I142, I143) -> f1#(I138, I139, I140, I141, I142, I143) 
75.01/73.86	  f1#(I144, I145, I146, I147, I148, I149) -> f2#(I144, I145, I146, I147, I148, I149) 
75.01/73.86	R = 
75.01/73.86	  f16(x1, x2, x3, x4, x5, x6) -> f9(x1, x2, x3, x4, x5, x6) 
75.01/73.86	  f9(I0, I1, I2, I3, I4, I5) -> f6(I0, I1, I3, I3, I4, I5) 
75.01/73.86	  f2(I6, I7, I8, I9, I10, I11) -> f15(I6, I7, I8, I9, I10, I11) 
75.01/73.86	  f15(I12, I13, I14, I15, I16, I17) -> f14(I12, I13, I14, I15, rnd5, I17) [rnd5 = rnd5]
75.01/73.86	  f14(I18, I19, I20, I21, I22, I23) -> f13(I18, I19, I20, I21, I22, I23) [1 + I22 <= 0]
75.01/73.86	  f14(I24, I25, I26, I27, I28, I29) -> f13(I24, I25, I26, I27, I28, I29) [1 <= I28]
75.01/73.86	  f14(I30, I31, I32, I33, I34, I35) -> f12(I30, I31, I32, I33, I34, I35) [0 <= I34 /\ I34 <= 0]
75.01/73.86	  f13(I36, I37, I38, I39, I40, I41) -> f12(I36, I37, I38, 1 + I39, I40, I41) 
75.01/73.86	  f12(I42, I43, I44, I45, I46, I47) -> f11(I42, I43, I44, I45, I46, rnd6) [rnd6 = rnd6]
75.01/73.86	  f11(I48, I49, I50, I51, I52, I53) -> f10(I48, I49, I50, I51, I52, I53) [1 + I53 <= 0]
75.01/73.86	  f11(I54, I55, I56, I57, I58, I59) -> f10(I54, I55, I56, I57, I58, I59) [1 <= I59]
75.01/73.86	  f11(I60, I61, I62, I63, I64, I65) -> f4(I60, I61, I62, I63, I64, I65) [0 <= I65 /\ I65 <= 0]
75.01/73.86	  f10(I66, I67, I68, I69, I70, I71) -> f4(1 + I66, I67, I68, I69, I70, I71) 
75.01/73.86	  f4(I72, I73, I74, I75, I76, I77) -> f7(I72, I73, I74, I75, I76, I77) [I74 <= I75 /\ I75 <= I74]
75.01/73.86	  f4(I78, I79, I80, I81, I82, I83) -> f9(I78, I79, I80, I81, I82, I83) [1 + I81 <= I80]
75.01/73.86	  f4(I84, I85, I86, I87, I88, I89) -> f9(I84, I85, I86, I87, I88, I89) [1 + I86 <= I87]
75.01/73.86	  f7(I90, I91, I92, I93, I94, I95) -> f8(I90, I91, I92, I93, I94, I95) 
75.01/73.86	  f6(I96, I97, I98, I99, I100, I101) -> f7(I96, I97, I98, I99, I100, I101) [I97 <= I96]
75.01/73.86	  f6(I102, I103, I104, I105, I106, I107) -> f5(I102, I103, I104, I105, I106, I107) [1 + I102 <= I103]
75.01/73.86	  f5(I108, I109, I110, I111, I112, I113) -> f4(I108, I109, I110, I111, I112, I113) 
75.01/73.86	  f5(I114, I115, I116, I117, I118, I119) -> f3(I114, I115, I116, I117, I118, I119) 
75.01/73.86	  f5(I120, I121, I122, I123, I124, I125) -> f3(I120, I121, I122, I123, I124, I125) 
75.01/73.86	  f3(I126, I127, I128, I129, I130, I131) -> f4(I126, I127, I128, I129, I130, I131) 
75.01/73.86	  f3(I132, I133, I134, I135, I136, I137) -> f1(I132, I133, I134, I135, I136, I137) 
75.01/73.86	  f3(I138, I139, I140, I141, I142, I143) -> f1(I138, I139, I140, I141, I142, I143) 
75.01/73.86	  f1(I144, I145, I146, I147, I148, I149) -> f2(I144, I145, I146, I147, I148, I149) 
75.01/73.86	
75.01/76.82	EOF