/export/starexec/sandbox2/solver/bin/starexec_run_Transition /export/starexec/sandbox2/benchmark/theBenchmark.smt2 /export/starexec/sandbox2/output/output_files


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MAYBE

DP problem for innermost termination.
P =
  f31#(x1, x2, x3, x4, x5, x6) -> f29#(x1, x2, x3, x4, x5, x6) 
  f2#(I0, I1, I2, I3, I4, I5) -> f19#(I0, I1, I2, I3, I4, I5) 
  f29#(I12, I13, I14, I15, I16, I17) -> f28#(rnd1, 1, 0, 1, I16, rnd6) [1 <= rnd6 /\ rnd6 = rnd6 /\ rnd1 = rnd1]
  f28#(I18, I19, I20, I21, I22, I23) -> f27#(I18, I19, I20, I21, I22, I23) [I18 <= 0]
  f28#(I24, I25, I26, I27, I28, I29) -> f27#(I24, I25, I26, I27, 0, I29) [1 <= I24]
  f27#(I30, I31, I32, I33, I34, I35) -> f26#(I30, rnd2, rnd3, I33, I34, I35) [I33 <= rnd2 /\ rnd3 = rnd3 /\ rnd2 = rnd2]
  f26#(I36, I37, I38, I39, I40, I41) -> f25#(I36, I37, I38, I39, I40, I41) [I37 <= I39]
  f26#(I42, I43, I44, I45, I46, I47) -> f25#(I42, I43, I44, I45, 1, I47) [1 + I45 <= I43]
  f25#(I48, I49, I50, I51, I52, I53) -> f19#(I48, I49, I50, I51, I52, I53) 
  f20#(I54, I55, I56, I57, I58, I59) -> f24#(I54, I55, I56, I57, I58, I59) [I54 <= 0]
  f20#(I60, I61, I62, I63, I64, I65) -> f24#(I60, I61, I62, I63, 0, I65) [1 <= I60]
  f24#(I66, I67, I68, I69, I70, I71) -> f23#(I66, I72, I73, I69, I70, I71) [I69 <= I72 /\ I73 = I73 /\ I72 = I72]
  f23#(I74, I75, I76, I77, I78, I79) -> f22#(I74, I75, I76, I77, I78, I79) [I75 <= I77]
  f23#(I80, I81, I82, I83, I84, I85) -> f22#(I80, I81, I82, I83, 1, I85) [1 + I83 <= I81]
  f22#(I86, I87, I88, I89, I90, I91) -> f10#(I86, I87, I88, I89, I90, I91) 
  f19#(I98, I99, I100, I101, I102, I103) -> f20#(I98, I99, I100, I99, I102, -1 + I103) [1 <= I103]
  f12#(I104, I105, I106, I107, I108, I109) -> f18#(I104, I105, I106, I107, I108, I109) [I104 <= 0]
  f12#(I110, I111, I112, I113, I114, I115) -> f18#(I110, I111, I112, I113, 0, I115) [1 <= I110]
  f18#(I116, I117, I118, I119, I120, I121) -> f17#(I116, I122, I123, I119, I120, I121) [I119 <= I122 /\ I123 = I123 /\ I122 = I122]
  f17#(I124, I125, I126, I127, I128, I129) -> f16#(I124, I125, I126, I127, I128, I129) [I127 <= I125 /\ I125 <= I127]
  f17#(I130, I131, I132, I133, I134, I135) -> f16#(I130, I131, I132, I133, 1, I135) [1 + I133 <= I131]
  f16#(I136, I137, I138, I139, I140, I141) -> f10#(I136, I137, I138, I139, I140, I141) 
  f11#(I142, I143, I144, I145, I146, I147) -> f15#(I142, I143, I144, I145, I146, I147) [I142 <= 0]
  f11#(I148, I149, I150, I151, I152, I153) -> f15#(I148, I149, I150, I151, 0, I153) [1 <= I148]
  f15#(I154, I155, I156, I157, I158, I159) -> f14#(I154, I160, I161, I157, I158, I159) [I157 <= I160 /\ I161 = I161 /\ I160 = I160]
  f14#(I162, I163, I164, I165, I166, I167) -> f13#(I162, I163, I164, I165, I166, I167) [I163 <= I165]
  f14#(I168, I169, I170, I171, I172, I173) -> f13#(I168, I169, I170, I171, 1, I173) [1 + I171 <= I169]
  f13#(I174, I175, I176, I177, I178, I179) -> f9#(I179, I175, I176, I175, I178, I179) 
  f10#(I180, I181, I182, I183, I184, I185) -> f12#(I180, I181, I182, I181, I184, I185) [I181 <= 0]
  f10#(I186, I187, I188, I189, I190, I191) -> f11#(I186, -1 + I187, I188, -1 + I187, I190, I191) [1 <= I187]
  f9#(I192, I193, I194, I195, I196, I197) -> f8#(I192, I193, I194, I195, I196, I197) [I192 <= 0]
  f9#(I198, I199, I200, I201, I202, I203) -> f8#(I198, I199, I200, I201, 0, I203) [1 <= I198]
  f8#(I204, I205, I206, I207, I208, I209) -> f7#(I204, I210, I211, I207, I208, I209) [I207 <= I210 /\ I211 = I211 /\ I210 = I210]
  f7#(I212, I213, I214, I215, I216, I217) -> f6#(I212, I213, I214, I215, I216, I217) [I213 <= I215]
  f7#(I218, I219, I220, I221, I222, I223) -> f6#(I218, I219, I220, I221, 1, I223) [1 + I221 <= I219]
  f6#(I224, I225, I226, I227, I228, I229) -> f5#(I224, I225, 1 + I226, I225, I228, I229) 
  f5#(I230, I231, I232, I233, I234, I235) -> f4#(I230, I231, I232, I233, I234, I235) [I230 <= 0]
  f5#(I236, I237, I238, I239, I240, I241) -> f4#(I236, I237, I238, I239, 0, I241) [1 <= I236]
  f4#(I242, I243, I244, I245, I246, I247) -> f3#(I242, I248, I249, I245, I246, I247) [I245 <= I248 /\ I249 = I249 /\ I248 = I248]
  f3#(I250, I251, I252, I253, I254, I255) -> f1#(I250, I251, I252, I253, I254, I255) [I251 <= I253]
  f3#(I256, I257, I258, I259, I260, I261) -> f1#(I256, I257, I258, I259, 1, I261) [1 + I259 <= I257]
  f1#(I262, I263, I264, I265, I266, I267) -> f2#(I262, I263, I264, I265, I266, I267) 
R = 
  f31(x1, x2, x3, x4, x5, x6) -> f29(x1, x2, x3, x4, x5, x6) 
  f2(I0, I1, I2, I3, I4, I5) -> f19(I0, I1, I2, I3, I4, I5) 
  f2(I6, I7, I8, I9, I10, I11) -> f30(I6, I7, I8, I9, I10, I11) [1 + I11 <= I6]
  f29(I12, I13, I14, I15, I16, I17) -> f28(rnd1, 1, 0, 1, I16, rnd6) [1 <= rnd6 /\ rnd6 = rnd6 /\ rnd1 = rnd1]
  f28(I18, I19, I20, I21, I22, I23) -> f27(I18, I19, I20, I21, I22, I23) [I18 <= 0]
  f28(I24, I25, I26, I27, I28, I29) -> f27(I24, I25, I26, I27, 0, I29) [1 <= I24]
  f27(I30, I31, I32, I33, I34, I35) -> f26(I30, rnd2, rnd3, I33, I34, I35) [I33 <= rnd2 /\ rnd3 = rnd3 /\ rnd2 = rnd2]
  f26(I36, I37, I38, I39, I40, I41) -> f25(I36, I37, I38, I39, I40, I41) [I37 <= I39]
  f26(I42, I43, I44, I45, I46, I47) -> f25(I42, I43, I44, I45, 1, I47) [1 + I45 <= I43]
  f25(I48, I49, I50, I51, I52, I53) -> f19(I48, I49, I50, I51, I52, I53) 
  f20(I54, I55, I56, I57, I58, I59) -> f24(I54, I55, I56, I57, I58, I59) [I54 <= 0]
  f20(I60, I61, I62, I63, I64, I65) -> f24(I60, I61, I62, I63, 0, I65) [1 <= I60]
  f24(I66, I67, I68, I69, I70, I71) -> f23(I66, I72, I73, I69, I70, I71) [I69 <= I72 /\ I73 = I73 /\ I72 = I72]
  f23(I74, I75, I76, I77, I78, I79) -> f22(I74, I75, I76, I77, I78, I79) [I75 <= I77]
  f23(I80, I81, I82, I83, I84, I85) -> f22(I80, I81, I82, I83, 1, I85) [1 + I83 <= I81]
  f22(I86, I87, I88, I89, I90, I91) -> f10(I86, I87, I88, I89, I90, I91) 
  f19(I92, I93, I94, I95, I96, I97) -> f21(I92, I93, I94, I95, I96, I97) [I97 <= 0]
  f19(I98, I99, I100, I101, I102, I103) -> f20(I98, I99, I100, I99, I102, -1 + I103) [1 <= I103]
  f12(I104, I105, I106, I107, I108, I109) -> f18(I104, I105, I106, I107, I108, I109) [I104 <= 0]
  f12(I110, I111, I112, I113, I114, I115) -> f18(I110, I111, I112, I113, 0, I115) [1 <= I110]
  f18(I116, I117, I118, I119, I120, I121) -> f17(I116, I122, I123, I119, I120, I121) [I119 <= I122 /\ I123 = I123 /\ I122 = I122]
  f17(I124, I125, I126, I127, I128, I129) -> f16(I124, I125, I126, I127, I128, I129) [I127 <= I125 /\ I125 <= I127]
  f17(I130, I131, I132, I133, I134, I135) -> f16(I130, I131, I132, I133, 1, I135) [1 + I133 <= I131]
  f16(I136, I137, I138, I139, I140, I141) -> f10(I136, I137, I138, I139, I140, I141) 
  f11(I142, I143, I144, I145, I146, I147) -> f15(I142, I143, I144, I145, I146, I147) [I142 <= 0]
  f11(I148, I149, I150, I151, I152, I153) -> f15(I148, I149, I150, I151, 0, I153) [1 <= I148]
  f15(I154, I155, I156, I157, I158, I159) -> f14(I154, I160, I161, I157, I158, I159) [I157 <= I160 /\ I161 = I161 /\ I160 = I160]
  f14(I162, I163, I164, I165, I166, I167) -> f13(I162, I163, I164, I165, I166, I167) [I163 <= I165]
  f14(I168, I169, I170, I171, I172, I173) -> f13(I168, I169, I170, I171, 1, I173) [1 + I171 <= I169]
  f13(I174, I175, I176, I177, I178, I179) -> f9(I179, I175, I176, I175, I178, I179) 
  f10(I180, I181, I182, I183, I184, I185) -> f12(I180, I181, I182, I181, I184, I185) [I181 <= 0]
  f10(I186, I187, I188, I189, I190, I191) -> f11(I186, -1 + I187, I188, -1 + I187, I190, I191) [1 <= I187]
  f9(I192, I193, I194, I195, I196, I197) -> f8(I192, I193, I194, I195, I196, I197) [I192 <= 0]
  f9(I198, I199, I200, I201, I202, I203) -> f8(I198, I199, I200, I201, 0, I203) [1 <= I198]
  f8(I204, I205, I206, I207, I208, I209) -> f7(I204, I210, I211, I207, I208, I209) [I207 <= I210 /\ I211 = I211 /\ I210 = I210]
  f7(I212, I213, I214, I215, I216, I217) -> f6(I212, I213, I214, I215, I216, I217) [I213 <= I215]
  f7(I218, I219, I220, I221, I222, I223) -> f6(I218, I219, I220, I221, 1, I223) [1 + I221 <= I219]
  f6(I224, I225, I226, I227, I228, I229) -> f5(I224, I225, 1 + I226, I225, I228, I229) 
  f5(I230, I231, I232, I233, I234, I235) -> f4(I230, I231, I232, I233, I234, I235) [I230 <= 0]
  f5(I236, I237, I238, I239, I240, I241) -> f4(I236, I237, I238, I239, 0, I241) [1 <= I236]
  f4(I242, I243, I244, I245, I246, I247) -> f3(I242, I248, I249, I245, I246, I247) [I245 <= I248 /\ I249 = I249 /\ I248 = I248]
  f3(I250, I251, I252, I253, I254, I255) -> f1(I250, I251, I252, I253, I254, I255) [I251 <= I253]
  f3(I256, I257, I258, I259, I260, I261) -> f1(I256, I257, I258, I259, 1, I261) [1 + I259 <= I257]
  f1(I262, I263, I264, I265, I266, I267) -> f2(I262, I263, I264, I265, I266, I267) 

The dependency graph for this problem is:
  0 -> 2
  1 -> 15
  2 -> 3, 4
  3 -> 5
  4 -> 5
  5 -> 6, 7
  6 -> 8
  7 -> 8
  8 -> 15
  9 -> 11
  10 -> 11
  11 -> 12, 13
  12 -> 14
  13 -> 14
  14 -> 28, 29
  15 -> 9, 10
  16 -> 18
  17 -> 18
  18 -> 19, 20
  19 -> 21
  20 -> 21
  21 -> 28, 29
  22 -> 24
  23 -> 24
  24 -> 25, 26
  25 -> 27
  26 -> 27
  27 -> 30, 31
  28 -> 16, 17
  29 -> 22, 23
  30 -> 32
  31 -> 32
  32 -> 33, 34
  33 -> 35
  34 -> 35
  35 -> 36, 37
  36 -> 38
  37 -> 38
  38 -> 39, 40
  39 -> 41
  40 -> 41
  41 -> 1
Where:
  0) f31#(x1, x2, x3, x4, x5, x6) -> f29#(x1, x2, x3, x4, x5, x6) 
  1) f2#(I0, I1, I2, I3, I4, I5) -> f19#(I0, I1, I2, I3, I4, I5) 
  2) f29#(I12, I13, I14, I15, I16, I17) -> f28#(rnd1, 1, 0, 1, I16, rnd6) [1 <= rnd6 /\ rnd6 = rnd6 /\ rnd1 = rnd1]
  3) f28#(I18, I19, I20, I21, I22, I23) -> f27#(I18, I19, I20, I21, I22, I23) [I18 <= 0]
  4) f28#(I24, I25, I26, I27, I28, I29) -> f27#(I24, I25, I26, I27, 0, I29) [1 <= I24]
  5) f27#(I30, I31, I32, I33, I34, I35) -> f26#(I30, rnd2, rnd3, I33, I34, I35) [I33 <= rnd2 /\ rnd3 = rnd3 /\ rnd2 = rnd2]
  6) f26#(I36, I37, I38, I39, I40, I41) -> f25#(I36, I37, I38, I39, I40, I41) [I37 <= I39]
  7) f26#(I42, I43, I44, I45, I46, I47) -> f25#(I42, I43, I44, I45, 1, I47) [1 + I45 <= I43]
  8) f25#(I48, I49, I50, I51, I52, I53) -> f19#(I48, I49, I50, I51, I52, I53) 
  9) f20#(I54, I55, I56, I57, I58, I59) -> f24#(I54, I55, I56, I57, I58, I59) [I54 <= 0]
  10) f20#(I60, I61, I62, I63, I64, I65) -> f24#(I60, I61, I62, I63, 0, I65) [1 <= I60]
  11) f24#(I66, I67, I68, I69, I70, I71) -> f23#(I66, I72, I73, I69, I70, I71) [I69 <= I72 /\ I73 = I73 /\ I72 = I72]
  12) f23#(I74, I75, I76, I77, I78, I79) -> f22#(I74, I75, I76, I77, I78, I79) [I75 <= I77]
  13) f23#(I80, I81, I82, I83, I84, I85) -> f22#(I80, I81, I82, I83, 1, I85) [1 + I83 <= I81]
  14) f22#(I86, I87, I88, I89, I90, I91) -> f10#(I86, I87, I88, I89, I90, I91) 
  15) f19#(I98, I99, I100, I101, I102, I103) -> f20#(I98, I99, I100, I99, I102, -1 + I103) [1 <= I103]
  16) f12#(I104, I105, I106, I107, I108, I109) -> f18#(I104, I105, I106, I107, I108, I109) [I104 <= 0]
  17) f12#(I110, I111, I112, I113, I114, I115) -> f18#(I110, I111, I112, I113, 0, I115) [1 <= I110]
  18) f18#(I116, I117, I118, I119, I120, I121) -> f17#(I116, I122, I123, I119, I120, I121) [I119 <= I122 /\ I123 = I123 /\ I122 = I122]
  19) f17#(I124, I125, I126, I127, I128, I129) -> f16#(I124, I125, I126, I127, I128, I129) [I127 <= I125 /\ I125 <= I127]
  20) f17#(I130, I131, I132, I133, I134, I135) -> f16#(I130, I131, I132, I133, 1, I135) [1 + I133 <= I131]
  21) f16#(I136, I137, I138, I139, I140, I141) -> f10#(I136, I137, I138, I139, I140, I141) 
  22) f11#(I142, I143, I144, I145, I146, I147) -> f15#(I142, I143, I144, I145, I146, I147) [I142 <= 0]
  23) f11#(I148, I149, I150, I151, I152, I153) -> f15#(I148, I149, I150, I151, 0, I153) [1 <= I148]
  24) f15#(I154, I155, I156, I157, I158, I159) -> f14#(I154, I160, I161, I157, I158, I159) [I157 <= I160 /\ I161 = I161 /\ I160 = I160]
  25) f14#(I162, I163, I164, I165, I166, I167) -> f13#(I162, I163, I164, I165, I166, I167) [I163 <= I165]
  26) f14#(I168, I169, I170, I171, I172, I173) -> f13#(I168, I169, I170, I171, 1, I173) [1 + I171 <= I169]
  27) f13#(I174, I175, I176, I177, I178, I179) -> f9#(I179, I175, I176, I175, I178, I179) 
  28) f10#(I180, I181, I182, I183, I184, I185) -> f12#(I180, I181, I182, I181, I184, I185) [I181 <= 0]
  29) f10#(I186, I187, I188, I189, I190, I191) -> f11#(I186, -1 + I187, I188, -1 + I187, I190, I191) [1 <= I187]
  30) f9#(I192, I193, I194, I195, I196, I197) -> f8#(I192, I193, I194, I195, I196, I197) [I192 <= 0]
  31) f9#(I198, I199, I200, I201, I202, I203) -> f8#(I198, I199, I200, I201, 0, I203) [1 <= I198]
  32) f8#(I204, I205, I206, I207, I208, I209) -> f7#(I204, I210, I211, I207, I208, I209) [I207 <= I210 /\ I211 = I211 /\ I210 = I210]
  33) f7#(I212, I213, I214, I215, I216, I217) -> f6#(I212, I213, I214, I215, I216, I217) [I213 <= I215]
  34) f7#(I218, I219, I220, I221, I222, I223) -> f6#(I218, I219, I220, I221, 1, I223) [1 + I221 <= I219]
  35) f6#(I224, I225, I226, I227, I228, I229) -> f5#(I224, I225, 1 + I226, I225, I228, I229) 
  36) f5#(I230, I231, I232, I233, I234, I235) -> f4#(I230, I231, I232, I233, I234, I235) [I230 <= 0]
  37) f5#(I236, I237, I238, I239, I240, I241) -> f4#(I236, I237, I238, I239, 0, I241) [1 <= I236]
  38) f4#(I242, I243, I244, I245, I246, I247) -> f3#(I242, I248, I249, I245, I246, I247) [I245 <= I248 /\ I249 = I249 /\ I248 = I248]
  39) f3#(I250, I251, I252, I253, I254, I255) -> f1#(I250, I251, I252, I253, I254, I255) [I251 <= I253]
  40) f3#(I256, I257, I258, I259, I260, I261) -> f1#(I256, I257, I258, I259, 1, I261) [1 + I259 <= I257]
  41) f1#(I262, I263, I264, I265, I266, I267) -> f2#(I262, I263, I264, I265, I266, I267) 

We have the following SCCs.
  { 1, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41 }

DP problem for innermost termination.
P =
  f2#(I0, I1, I2, I3, I4, I5) -> f19#(I0, I1, I2, I3, I4, I5) 
  f20#(I54, I55, I56, I57, I58, I59) -> f24#(I54, I55, I56, I57, I58, I59) [I54 <= 0]
  f20#(I60, I61, I62, I63, I64, I65) -> f24#(I60, I61, I62, I63, 0, I65) [1 <= I60]
  f24#(I66, I67, I68, I69, I70, I71) -> f23#(I66, I72, I73, I69, I70, I71) [I69 <= I72 /\ I73 = I73 /\ I72 = I72]
  f23#(I74, I75, I76, I77, I78, I79) -> f22#(I74, I75, I76, I77, I78, I79) [I75 <= I77]
  f23#(I80, I81, I82, I83, I84, I85) -> f22#(I80, I81, I82, I83, 1, I85) [1 + I83 <= I81]
  f22#(I86, I87, I88, I89, I90, I91) -> f10#(I86, I87, I88, I89, I90, I91) 
  f19#(I98, I99, I100, I101, I102, I103) -> f20#(I98, I99, I100, I99, I102, -1 + I103) [1 <= I103]
  f12#(I104, I105, I106, I107, I108, I109) -> f18#(I104, I105, I106, I107, I108, I109) [I104 <= 0]
  f12#(I110, I111, I112, I113, I114, I115) -> f18#(I110, I111, I112, I113, 0, I115) [1 <= I110]
  f18#(I116, I117, I118, I119, I120, I121) -> f17#(I116, I122, I123, I119, I120, I121) [I119 <= I122 /\ I123 = I123 /\ I122 = I122]
  f17#(I124, I125, I126, I127, I128, I129) -> f16#(I124, I125, I126, I127, I128, I129) [I127 <= I125 /\ I125 <= I127]
  f17#(I130, I131, I132, I133, I134, I135) -> f16#(I130, I131, I132, I133, 1, I135) [1 + I133 <= I131]
  f16#(I136, I137, I138, I139, I140, I141) -> f10#(I136, I137, I138, I139, I140, I141) 
  f11#(I142, I143, I144, I145, I146, I147) -> f15#(I142, I143, I144, I145, I146, I147) [I142 <= 0]
  f11#(I148, I149, I150, I151, I152, I153) -> f15#(I148, I149, I150, I151, 0, I153) [1 <= I148]
  f15#(I154, I155, I156, I157, I158, I159) -> f14#(I154, I160, I161, I157, I158, I159) [I157 <= I160 /\ I161 = I161 /\ I160 = I160]
  f14#(I162, I163, I164, I165, I166, I167) -> f13#(I162, I163, I164, I165, I166, I167) [I163 <= I165]
  f14#(I168, I169, I170, I171, I172, I173) -> f13#(I168, I169, I170, I171, 1, I173) [1 + I171 <= I169]
  f13#(I174, I175, I176, I177, I178, I179) -> f9#(I179, I175, I176, I175, I178, I179) 
  f10#(I180, I181, I182, I183, I184, I185) -> f12#(I180, I181, I182, I181, I184, I185) [I181 <= 0]
  f10#(I186, I187, I188, I189, I190, I191) -> f11#(I186, -1 + I187, I188, -1 + I187, I190, I191) [1 <= I187]
  f9#(I192, I193, I194, I195, I196, I197) -> f8#(I192, I193, I194, I195, I196, I197) [I192 <= 0]
  f9#(I198, I199, I200, I201, I202, I203) -> f8#(I198, I199, I200, I201, 0, I203) [1 <= I198]
  f8#(I204, I205, I206, I207, I208, I209) -> f7#(I204, I210, I211, I207, I208, I209) [I207 <= I210 /\ I211 = I211 /\ I210 = I210]
  f7#(I212, I213, I214, I215, I216, I217) -> f6#(I212, I213, I214, I215, I216, I217) [I213 <= I215]
  f7#(I218, I219, I220, I221, I222, I223) -> f6#(I218, I219, I220, I221, 1, I223) [1 + I221 <= I219]
  f6#(I224, I225, I226, I227, I228, I229) -> f5#(I224, I225, 1 + I226, I225, I228, I229) 
  f5#(I230, I231, I232, I233, I234, I235) -> f4#(I230, I231, I232, I233, I234, I235) [I230 <= 0]
  f5#(I236, I237, I238, I239, I240, I241) -> f4#(I236, I237, I238, I239, 0, I241) [1 <= I236]
  f4#(I242, I243, I244, I245, I246, I247) -> f3#(I242, I248, I249, I245, I246, I247) [I245 <= I248 /\ I249 = I249 /\ I248 = I248]
  f3#(I250, I251, I252, I253, I254, I255) -> f1#(I250, I251, I252, I253, I254, I255) [I251 <= I253]
  f3#(I256, I257, I258, I259, I260, I261) -> f1#(I256, I257, I258, I259, 1, I261) [1 + I259 <= I257]
  f1#(I262, I263, I264, I265, I266, I267) -> f2#(I262, I263, I264, I265, I266, I267) 
R = 
  f31(x1, x2, x3, x4, x5, x6) -> f29(x1, x2, x3, x4, x5, x6) 
  f2(I0, I1, I2, I3, I4, I5) -> f19(I0, I1, I2, I3, I4, I5) 
  f2(I6, I7, I8, I9, I10, I11) -> f30(I6, I7, I8, I9, I10, I11) [1 + I11 <= I6]
  f29(I12, I13, I14, I15, I16, I17) -> f28(rnd1, 1, 0, 1, I16, rnd6) [1 <= rnd6 /\ rnd6 = rnd6 /\ rnd1 = rnd1]
  f28(I18, I19, I20, I21, I22, I23) -> f27(I18, I19, I20, I21, I22, I23) [I18 <= 0]
  f28(I24, I25, I26, I27, I28, I29) -> f27(I24, I25, I26, I27, 0, I29) [1 <= I24]
  f27(I30, I31, I32, I33, I34, I35) -> f26(I30, rnd2, rnd3, I33, I34, I35) [I33 <= rnd2 /\ rnd3 = rnd3 /\ rnd2 = rnd2]
  f26(I36, I37, I38, I39, I40, I41) -> f25(I36, I37, I38, I39, I40, I41) [I37 <= I39]
  f26(I42, I43, I44, I45, I46, I47) -> f25(I42, I43, I44, I45, 1, I47) [1 + I45 <= I43]
  f25(I48, I49, I50, I51, I52, I53) -> f19(I48, I49, I50, I51, I52, I53) 
  f20(I54, I55, I56, I57, I58, I59) -> f24(I54, I55, I56, I57, I58, I59) [I54 <= 0]
  f20(I60, I61, I62, I63, I64, I65) -> f24(I60, I61, I62, I63, 0, I65) [1 <= I60]
  f24(I66, I67, I68, I69, I70, I71) -> f23(I66, I72, I73, I69, I70, I71) [I69 <= I72 /\ I73 = I73 /\ I72 = I72]
  f23(I74, I75, I76, I77, I78, I79) -> f22(I74, I75, I76, I77, I78, I79) [I75 <= I77]
  f23(I80, I81, I82, I83, I84, I85) -> f22(I80, I81, I82, I83, 1, I85) [1 + I83 <= I81]
  f22(I86, I87, I88, I89, I90, I91) -> f10(I86, I87, I88, I89, I90, I91) 
  f19(I92, I93, I94, I95, I96, I97) -> f21(I92, I93, I94, I95, I96, I97) [I97 <= 0]
  f19(I98, I99, I100, I101, I102, I103) -> f20(I98, I99, I100, I99, I102, -1 + I103) [1 <= I103]
  f12(I104, I105, I106, I107, I108, I109) -> f18(I104, I105, I106, I107, I108, I109) [I104 <= 0]
  f12(I110, I111, I112, I113, I114, I115) -> f18(I110, I111, I112, I113, 0, I115) [1 <= I110]
  f18(I116, I117, I118, I119, I120, I121) -> f17(I116, I122, I123, I119, I120, I121) [I119 <= I122 /\ I123 = I123 /\ I122 = I122]
  f17(I124, I125, I126, I127, I128, I129) -> f16(I124, I125, I126, I127, I128, I129) [I127 <= I125 /\ I125 <= I127]
  f17(I130, I131, I132, I133, I134, I135) -> f16(I130, I131, I132, I133, 1, I135) [1 + I133 <= I131]
  f16(I136, I137, I138, I139, I140, I141) -> f10(I136, I137, I138, I139, I140, I141) 
  f11(I142, I143, I144, I145, I146, I147) -> f15(I142, I143, I144, I145, I146, I147) [I142 <= 0]
  f11(I148, I149, I150, I151, I152, I153) -> f15(I148, I149, I150, I151, 0, I153) [1 <= I148]
  f15(I154, I155, I156, I157, I158, I159) -> f14(I154, I160, I161, I157, I158, I159) [I157 <= I160 /\ I161 = I161 /\ I160 = I160]
  f14(I162, I163, I164, I165, I166, I167) -> f13(I162, I163, I164, I165, I166, I167) [I163 <= I165]
  f14(I168, I169, I170, I171, I172, I173) -> f13(I168, I169, I170, I171, 1, I173) [1 + I171 <= I169]
  f13(I174, I175, I176, I177, I178, I179) -> f9(I179, I175, I176, I175, I178, I179) 
  f10(I180, I181, I182, I183, I184, I185) -> f12(I180, I181, I182, I181, I184, I185) [I181 <= 0]
  f10(I186, I187, I188, I189, I190, I191) -> f11(I186, -1 + I187, I188, -1 + I187, I190, I191) [1 <= I187]
  f9(I192, I193, I194, I195, I196, I197) -> f8(I192, I193, I194, I195, I196, I197) [I192 <= 0]
  f9(I198, I199, I200, I201, I202, I203) -> f8(I198, I199, I200, I201, 0, I203) [1 <= I198]
  f8(I204, I205, I206, I207, I208, I209) -> f7(I204, I210, I211, I207, I208, I209) [I207 <= I210 /\ I211 = I211 /\ I210 = I210]
  f7(I212, I213, I214, I215, I216, I217) -> f6(I212, I213, I214, I215, I216, I217) [I213 <= I215]
  f7(I218, I219, I220, I221, I222, I223) -> f6(I218, I219, I220, I221, 1, I223) [1 + I221 <= I219]
  f6(I224, I225, I226, I227, I228, I229) -> f5(I224, I225, 1 + I226, I225, I228, I229) 
  f5(I230, I231, I232, I233, I234, I235) -> f4(I230, I231, I232, I233, I234, I235) [I230 <= 0]
  f5(I236, I237, I238, I239, I240, I241) -> f4(I236, I237, I238, I239, 0, I241) [1 <= I236]
  f4(I242, I243, I244, I245, I246, I247) -> f3(I242, I248, I249, I245, I246, I247) [I245 <= I248 /\ I249 = I249 /\ I248 = I248]
  f3(I250, I251, I252, I253, I254, I255) -> f1(I250, I251, I252, I253, I254, I255) [I251 <= I253]
  f3(I256, I257, I258, I259, I260, I261) -> f1(I256, I257, I258, I259, 1, I261) [1 + I259 <= I257]
  f1(I262, I263, I264, I265, I266, I267) -> f2(I262, I263, I264, I265, I266, I267) 

We use the basic value criterion with the projection function NU:
  NU[f1#(z1,z2,z3,z4,z5,z6)] = z6
  NU[f3#(z1,z2,z3,z4,z5,z6)] = z6
  NU[f4#(z1,z2,z3,z4,z5,z6)] = z6
  NU[f5#(z1,z2,z3,z4,z5,z6)] = z6
  NU[f6#(z1,z2,z3,z4,z5,z6)] = z6
  NU[f7#(z1,z2,z3,z4,z5,z6)] = z6
  NU[f8#(z1,z2,z3,z4,z5,z6)] = z6
  NU[f9#(z1,z2,z3,z4,z5,z6)] = z6
  NU[f13#(z1,z2,z3,z4,z5,z6)] = z6
  NU[f14#(z1,z2,z3,z4,z5,z6)] = z6
  NU[f15#(z1,z2,z3,z4,z5,z6)] = z6
  NU[f11#(z1,z2,z3,z4,z5,z6)] = z6
  NU[f16#(z1,z2,z3,z4,z5,z6)] = z6
  NU[f17#(z1,z2,z3,z4,z5,z6)] = z6
  NU[f18#(z1,z2,z3,z4,z5,z6)] = z6
  NU[f12#(z1,z2,z3,z4,z5,z6)] = z6
  NU[f10#(z1,z2,z3,z4,z5,z6)] = z6
  NU[f22#(z1,z2,z3,z4,z5,z6)] = z6
  NU[f23#(z1,z2,z3,z4,z5,z6)] = z6
  NU[f24#(z1,z2,z3,z4,z5,z6)] = z6
  NU[f20#(z1,z2,z3,z4,z5,z6)] = z6
  NU[f19#(z1,z2,z3,z4,z5,z6)] = z6
  NU[f2#(z1,z2,z3,z4,z5,z6)] = z6

This gives the following inequalities:
    ==>  I5 (>! \union =) I5
  I54 <= 0  ==>  I59 (>! \union =) I59
  1 <= I60  ==>  I65 (>! \union =) I65
  I69 <= I72 /\ I73 = I73 /\ I72 = I72  ==>  I71 (>! \union =) I71
  I75 <= I77  ==>  I79 (>! \union =) I79
  1 + I83 <= I81  ==>  I85 (>! \union =) I85
    ==>  I91 (>! \union =) I91
  1 <= I103  ==>  I103 >! -1 + I103
  I104 <= 0  ==>  I109 (>! \union =) I109
  1 <= I110  ==>  I115 (>! \union =) I115
  I119 <= I122 /\ I123 = I123 /\ I122 = I122  ==>  I121 (>! \union =) I121
  I127 <= I125 /\ I125 <= I127  ==>  I129 (>! \union =) I129
  1 + I133 <= I131  ==>  I135 (>! \union =) I135
    ==>  I141 (>! \union =) I141
  I142 <= 0  ==>  I147 (>! \union =) I147
  1 <= I148  ==>  I153 (>! \union =) I153
  I157 <= I160 /\ I161 = I161 /\ I160 = I160  ==>  I159 (>! \union =) I159
  I163 <= I165  ==>  I167 (>! \union =) I167
  1 + I171 <= I169  ==>  I173 (>! \union =) I173
    ==>  I179 (>! \union =) I179
  I181 <= 0  ==>  I185 (>! \union =) I185
  1 <= I187  ==>  I191 (>! \union =) I191
  I192 <= 0  ==>  I197 (>! \union =) I197
  1 <= I198  ==>  I203 (>! \union =) I203
  I207 <= I210 /\ I211 = I211 /\ I210 = I210  ==>  I209 (>! \union =) I209
  I213 <= I215  ==>  I217 (>! \union =) I217
  1 + I221 <= I219  ==>  I223 (>! \union =) I223
    ==>  I229 (>! \union =) I229
  I230 <= 0  ==>  I235 (>! \union =) I235
  1 <= I236  ==>  I241 (>! \union =) I241
  I245 <= I248 /\ I249 = I249 /\ I248 = I248  ==>  I247 (>! \union =) I247
  I251 <= I253  ==>  I255 (>! \union =) I255
  1 + I259 <= I257  ==>  I261 (>! \union =) I261
    ==>  I267 (>! \union =) I267

We remove all the strictly oriented dependency pairs.

DP problem for innermost termination.
P =
  f2#(I0, I1, I2, I3, I4, I5) -> f19#(I0, I1, I2, I3, I4, I5) 
  f20#(I54, I55, I56, I57, I58, I59) -> f24#(I54, I55, I56, I57, I58, I59) [I54 <= 0]
  f20#(I60, I61, I62, I63, I64, I65) -> f24#(I60, I61, I62, I63, 0, I65) [1 <= I60]
  f24#(I66, I67, I68, I69, I70, I71) -> f23#(I66, I72, I73, I69, I70, I71) [I69 <= I72 /\ I73 = I73 /\ I72 = I72]
  f23#(I74, I75, I76, I77, I78, I79) -> f22#(I74, I75, I76, I77, I78, I79) [I75 <= I77]
  f23#(I80, I81, I82, I83, I84, I85) -> f22#(I80, I81, I82, I83, 1, I85) [1 + I83 <= I81]
  f22#(I86, I87, I88, I89, I90, I91) -> f10#(I86, I87, I88, I89, I90, I91) 
  f12#(I104, I105, I106, I107, I108, I109) -> f18#(I104, I105, I106, I107, I108, I109) [I104 <= 0]
  f12#(I110, I111, I112, I113, I114, I115) -> f18#(I110, I111, I112, I113, 0, I115) [1 <= I110]
  f18#(I116, I117, I118, I119, I120, I121) -> f17#(I116, I122, I123, I119, I120, I121) [I119 <= I122 /\ I123 = I123 /\ I122 = I122]
  f17#(I124, I125, I126, I127, I128, I129) -> f16#(I124, I125, I126, I127, I128, I129) [I127 <= I125 /\ I125 <= I127]
  f17#(I130, I131, I132, I133, I134, I135) -> f16#(I130, I131, I132, I133, 1, I135) [1 + I133 <= I131]
  f16#(I136, I137, I138, I139, I140, I141) -> f10#(I136, I137, I138, I139, I140, I141) 
  f11#(I142, I143, I144, I145, I146, I147) -> f15#(I142, I143, I144, I145, I146, I147) [I142 <= 0]
  f11#(I148, I149, I150, I151, I152, I153) -> f15#(I148, I149, I150, I151, 0, I153) [1 <= I148]
  f15#(I154, I155, I156, I157, I158, I159) -> f14#(I154, I160, I161, I157, I158, I159) [I157 <= I160 /\ I161 = I161 /\ I160 = I160]
  f14#(I162, I163, I164, I165, I166, I167) -> f13#(I162, I163, I164, I165, I166, I167) [I163 <= I165]
  f14#(I168, I169, I170, I171, I172, I173) -> f13#(I168, I169, I170, I171, 1, I173) [1 + I171 <= I169]
  f13#(I174, I175, I176, I177, I178, I179) -> f9#(I179, I175, I176, I175, I178, I179) 
  f10#(I180, I181, I182, I183, I184, I185) -> f12#(I180, I181, I182, I181, I184, I185) [I181 <= 0]
  f10#(I186, I187, I188, I189, I190, I191) -> f11#(I186, -1 + I187, I188, -1 + I187, I190, I191) [1 <= I187]
  f9#(I192, I193, I194, I195, I196, I197) -> f8#(I192, I193, I194, I195, I196, I197) [I192 <= 0]
  f9#(I198, I199, I200, I201, I202, I203) -> f8#(I198, I199, I200, I201, 0, I203) [1 <= I198]
  f8#(I204, I205, I206, I207, I208, I209) -> f7#(I204, I210, I211, I207, I208, I209) [I207 <= I210 /\ I211 = I211 /\ I210 = I210]
  f7#(I212, I213, I214, I215, I216, I217) -> f6#(I212, I213, I214, I215, I216, I217) [I213 <= I215]
  f7#(I218, I219, I220, I221, I222, I223) -> f6#(I218, I219, I220, I221, 1, I223) [1 + I221 <= I219]
  f6#(I224, I225, I226, I227, I228, I229) -> f5#(I224, I225, 1 + I226, I225, I228, I229) 
  f5#(I230, I231, I232, I233, I234, I235) -> f4#(I230, I231, I232, I233, I234, I235) [I230 <= 0]
  f5#(I236, I237, I238, I239, I240, I241) -> f4#(I236, I237, I238, I239, 0, I241) [1 <= I236]
  f4#(I242, I243, I244, I245, I246, I247) -> f3#(I242, I248, I249, I245, I246, I247) [I245 <= I248 /\ I249 = I249 /\ I248 = I248]
  f3#(I250, I251, I252, I253, I254, I255) -> f1#(I250, I251, I252, I253, I254, I255) [I251 <= I253]
  f3#(I256, I257, I258, I259, I260, I261) -> f1#(I256, I257, I258, I259, 1, I261) [1 + I259 <= I257]
  f1#(I262, I263, I264, I265, I266, I267) -> f2#(I262, I263, I264, I265, I266, I267) 
R = 
  f31(x1, x2, x3, x4, x5, x6) -> f29(x1, x2, x3, x4, x5, x6) 
  f2(I0, I1, I2, I3, I4, I5) -> f19(I0, I1, I2, I3, I4, I5) 
  f2(I6, I7, I8, I9, I10, I11) -> f30(I6, I7, I8, I9, I10, I11) [1 + I11 <= I6]
  f29(I12, I13, I14, I15, I16, I17) -> f28(rnd1, 1, 0, 1, I16, rnd6) [1 <= rnd6 /\ rnd6 = rnd6 /\ rnd1 = rnd1]
  f28(I18, I19, I20, I21, I22, I23) -> f27(I18, I19, I20, I21, I22, I23) [I18 <= 0]
  f28(I24, I25, I26, I27, I28, I29) -> f27(I24, I25, I26, I27, 0, I29) [1 <= I24]
  f27(I30, I31, I32, I33, I34, I35) -> f26(I30, rnd2, rnd3, I33, I34, I35) [I33 <= rnd2 /\ rnd3 = rnd3 /\ rnd2 = rnd2]
  f26(I36, I37, I38, I39, I40, I41) -> f25(I36, I37, I38, I39, I40, I41) [I37 <= I39]
  f26(I42, I43, I44, I45, I46, I47) -> f25(I42, I43, I44, I45, 1, I47) [1 + I45 <= I43]
  f25(I48, I49, I50, I51, I52, I53) -> f19(I48, I49, I50, I51, I52, I53) 
  f20(I54, I55, I56, I57, I58, I59) -> f24(I54, I55, I56, I57, I58, I59) [I54 <= 0]
  f20(I60, I61, I62, I63, I64, I65) -> f24(I60, I61, I62, I63, 0, I65) [1 <= I60]
  f24(I66, I67, I68, I69, I70, I71) -> f23(I66, I72, I73, I69, I70, I71) [I69 <= I72 /\ I73 = I73 /\ I72 = I72]
  f23(I74, I75, I76, I77, I78, I79) -> f22(I74, I75, I76, I77, I78, I79) [I75 <= I77]
  f23(I80, I81, I82, I83, I84, I85) -> f22(I80, I81, I82, I83, 1, I85) [1 + I83 <= I81]
  f22(I86, I87, I88, I89, I90, I91) -> f10(I86, I87, I88, I89, I90, I91) 
  f19(I92, I93, I94, I95, I96, I97) -> f21(I92, I93, I94, I95, I96, I97) [I97 <= 0]
  f19(I98, I99, I100, I101, I102, I103) -> f20(I98, I99, I100, I99, I102, -1 + I103) [1 <= I103]
  f12(I104, I105, I106, I107, I108, I109) -> f18(I104, I105, I106, I107, I108, I109) [I104 <= 0]
  f12(I110, I111, I112, I113, I114, I115) -> f18(I110, I111, I112, I113, 0, I115) [1 <= I110]
  f18(I116, I117, I118, I119, I120, I121) -> f17(I116, I122, I123, I119, I120, I121) [I119 <= I122 /\ I123 = I123 /\ I122 = I122]
  f17(I124, I125, I126, I127, I128, I129) -> f16(I124, I125, I126, I127, I128, I129) [I127 <= I125 /\ I125 <= I127]
  f17(I130, I131, I132, I133, I134, I135) -> f16(I130, I131, I132, I133, 1, I135) [1 + I133 <= I131]
  f16(I136, I137, I138, I139, I140, I141) -> f10(I136, I137, I138, I139, I140, I141) 
  f11(I142, I143, I144, I145, I146, I147) -> f15(I142, I143, I144, I145, I146, I147) [I142 <= 0]
  f11(I148, I149, I150, I151, I152, I153) -> f15(I148, I149, I150, I151, 0, I153) [1 <= I148]
  f15(I154, I155, I156, I157, I158, I159) -> f14(I154, I160, I161, I157, I158, I159) [I157 <= I160 /\ I161 = I161 /\ I160 = I160]
  f14(I162, I163, I164, I165, I166, I167) -> f13(I162, I163, I164, I165, I166, I167) [I163 <= I165]
  f14(I168, I169, I170, I171, I172, I173) -> f13(I168, I169, I170, I171, 1, I173) [1 + I171 <= I169]
  f13(I174, I175, I176, I177, I178, I179) -> f9(I179, I175, I176, I175, I178, I179) 
  f10(I180, I181, I182, I183, I184, I185) -> f12(I180, I181, I182, I181, I184, I185) [I181 <= 0]
  f10(I186, I187, I188, I189, I190, I191) -> f11(I186, -1 + I187, I188, -1 + I187, I190, I191) [1 <= I187]
  f9(I192, I193, I194, I195, I196, I197) -> f8(I192, I193, I194, I195, I196, I197) [I192 <= 0]
  f9(I198, I199, I200, I201, I202, I203) -> f8(I198, I199, I200, I201, 0, I203) [1 <= I198]
  f8(I204, I205, I206, I207, I208, I209) -> f7(I204, I210, I211, I207, I208, I209) [I207 <= I210 /\ I211 = I211 /\ I210 = I210]
  f7(I212, I213, I214, I215, I216, I217) -> f6(I212, I213, I214, I215, I216, I217) [I213 <= I215]
  f7(I218, I219, I220, I221, I222, I223) -> f6(I218, I219, I220, I221, 1, I223) [1 + I221 <= I219]
  f6(I224, I225, I226, I227, I228, I229) -> f5(I224, I225, 1 + I226, I225, I228, I229) 
  f5(I230, I231, I232, I233, I234, I235) -> f4(I230, I231, I232, I233, I234, I235) [I230 <= 0]
  f5(I236, I237, I238, I239, I240, I241) -> f4(I236, I237, I238, I239, 0, I241) [1 <= I236]
  f4(I242, I243, I244, I245, I246, I247) -> f3(I242, I248, I249, I245, I246, I247) [I245 <= I248 /\ I249 = I249 /\ I248 = I248]
  f3(I250, I251, I252, I253, I254, I255) -> f1(I250, I251, I252, I253, I254, I255) [I251 <= I253]
  f3(I256, I257, I258, I259, I260, I261) -> f1(I256, I257, I258, I259, 1, I261) [1 + I259 <= I257]
  f1(I262, I263, I264, I265, I266, I267) -> f2(I262, I263, I264, I265, I266, I267) 

The dependency graph for this problem is:
  1 -> 
  9 -> 11
  10 -> 11
  11 -> 12, 13
  12 -> 14
  13 -> 14
  14 -> 28, 29
  16 -> 18
  17 -> 18
  18 -> 19, 20
  19 -> 21
  20 -> 21
  21 -> 28, 29
  22 -> 24
  23 -> 24
  24 -> 25, 26
  25 -> 27
  26 -> 27
  27 -> 30, 31
  28 -> 16, 17
  29 -> 22, 23
  30 -> 32
  31 -> 32
  32 -> 33, 34
  33 -> 35
  34 -> 35
  35 -> 36, 37
  36 -> 38
  37 -> 38
  38 -> 39, 40
  39 -> 41
  40 -> 41
  41 -> 1
Where:
  1) f2#(I0, I1, I2, I3, I4, I5) -> f19#(I0, I1, I2, I3, I4, I5) 
  9) f20#(I54, I55, I56, I57, I58, I59) -> f24#(I54, I55, I56, I57, I58, I59) [I54 <= 0]
  10) f20#(I60, I61, I62, I63, I64, I65) -> f24#(I60, I61, I62, I63, 0, I65) [1 <= I60]
  11) f24#(I66, I67, I68, I69, I70, I71) -> f23#(I66, I72, I73, I69, I70, I71) [I69 <= I72 /\ I73 = I73 /\ I72 = I72]
  12) f23#(I74, I75, I76, I77, I78, I79) -> f22#(I74, I75, I76, I77, I78, I79) [I75 <= I77]
  13) f23#(I80, I81, I82, I83, I84, I85) -> f22#(I80, I81, I82, I83, 1, I85) [1 + I83 <= I81]
  14) f22#(I86, I87, I88, I89, I90, I91) -> f10#(I86, I87, I88, I89, I90, I91) 
  16) f12#(I104, I105, I106, I107, I108, I109) -> f18#(I104, I105, I106, I107, I108, I109) [I104 <= 0]
  17) f12#(I110, I111, I112, I113, I114, I115) -> f18#(I110, I111, I112, I113, 0, I115) [1 <= I110]
  18) f18#(I116, I117, I118, I119, I120, I121) -> f17#(I116, I122, I123, I119, I120, I121) [I119 <= I122 /\ I123 = I123 /\ I122 = I122]
  19) f17#(I124, I125, I126, I127, I128, I129) -> f16#(I124, I125, I126, I127, I128, I129) [I127 <= I125 /\ I125 <= I127]
  20) f17#(I130, I131, I132, I133, I134, I135) -> f16#(I130, I131, I132, I133, 1, I135) [1 + I133 <= I131]
  21) f16#(I136, I137, I138, I139, I140, I141) -> f10#(I136, I137, I138, I139, I140, I141) 
  22) f11#(I142, I143, I144, I145, I146, I147) -> f15#(I142, I143, I144, I145, I146, I147) [I142 <= 0]
  23) f11#(I148, I149, I150, I151, I152, I153) -> f15#(I148, I149, I150, I151, 0, I153) [1 <= I148]
  24) f15#(I154, I155, I156, I157, I158, I159) -> f14#(I154, I160, I161, I157, I158, I159) [I157 <= I160 /\ I161 = I161 /\ I160 = I160]
  25) f14#(I162, I163, I164, I165, I166, I167) -> f13#(I162, I163, I164, I165, I166, I167) [I163 <= I165]
  26) f14#(I168, I169, I170, I171, I172, I173) -> f13#(I168, I169, I170, I171, 1, I173) [1 + I171 <= I169]
  27) f13#(I174, I175, I176, I177, I178, I179) -> f9#(I179, I175, I176, I175, I178, I179) 
  28) f10#(I180, I181, I182, I183, I184, I185) -> f12#(I180, I181, I182, I181, I184, I185) [I181 <= 0]
  29) f10#(I186, I187, I188, I189, I190, I191) -> f11#(I186, -1 + I187, I188, -1 + I187, I190, I191) [1 <= I187]
  30) f9#(I192, I193, I194, I195, I196, I197) -> f8#(I192, I193, I194, I195, I196, I197) [I192 <= 0]
  31) f9#(I198, I199, I200, I201, I202, I203) -> f8#(I198, I199, I200, I201, 0, I203) [1 <= I198]
  32) f8#(I204, I205, I206, I207, I208, I209) -> f7#(I204, I210, I211, I207, I208, I209) [I207 <= I210 /\ I211 = I211 /\ I210 = I210]
  33) f7#(I212, I213, I214, I215, I216, I217) -> f6#(I212, I213, I214, I215, I216, I217) [I213 <= I215]
  34) f7#(I218, I219, I220, I221, I222, I223) -> f6#(I218, I219, I220, I221, 1, I223) [1 + I221 <= I219]
  35) f6#(I224, I225, I226, I227, I228, I229) -> f5#(I224, I225, 1 + I226, I225, I228, I229) 
  36) f5#(I230, I231, I232, I233, I234, I235) -> f4#(I230, I231, I232, I233, I234, I235) [I230 <= 0]
  37) f5#(I236, I237, I238, I239, I240, I241) -> f4#(I236, I237, I238, I239, 0, I241) [1 <= I236]
  38) f4#(I242, I243, I244, I245, I246, I247) -> f3#(I242, I248, I249, I245, I246, I247) [I245 <= I248 /\ I249 = I249 /\ I248 = I248]
  39) f3#(I250, I251, I252, I253, I254, I255) -> f1#(I250, I251, I252, I253, I254, I255) [I251 <= I253]
  40) f3#(I256, I257, I258, I259, I260, I261) -> f1#(I256, I257, I258, I259, 1, I261) [1 + I259 <= I257]
  41) f1#(I262, I263, I264, I265, I266, I267) -> f2#(I262, I263, I264, I265, I266, I267) 

We have the following SCCs.
  { 16, 17, 18, 19, 20, 21, 28 }

DP problem for innermost termination.
P =
  f12#(I104, I105, I106, I107, I108, I109) -> f18#(I104, I105, I106, I107, I108, I109) [I104 <= 0]
  f12#(I110, I111, I112, I113, I114, I115) -> f18#(I110, I111, I112, I113, 0, I115) [1 <= I110]
  f18#(I116, I117, I118, I119, I120, I121) -> f17#(I116, I122, I123, I119, I120, I121) [I119 <= I122 /\ I123 = I123 /\ I122 = I122]
  f17#(I124, I125, I126, I127, I128, I129) -> f16#(I124, I125, I126, I127, I128, I129) [I127 <= I125 /\ I125 <= I127]
  f17#(I130, I131, I132, I133, I134, I135) -> f16#(I130, I131, I132, I133, 1, I135) [1 + I133 <= I131]
  f16#(I136, I137, I138, I139, I140, I141) -> f10#(I136, I137, I138, I139, I140, I141) 
  f10#(I180, I181, I182, I183, I184, I185) -> f12#(I180, I181, I182, I181, I184, I185) [I181 <= 0]
R = 
  f31(x1, x2, x3, x4, x5, x6) -> f29(x1, x2, x3, x4, x5, x6) 
  f2(I0, I1, I2, I3, I4, I5) -> f19(I0, I1, I2, I3, I4, I5) 
  f2(I6, I7, I8, I9, I10, I11) -> f30(I6, I7, I8, I9, I10, I11) [1 + I11 <= I6]
  f29(I12, I13, I14, I15, I16, I17) -> f28(rnd1, 1, 0, 1, I16, rnd6) [1 <= rnd6 /\ rnd6 = rnd6 /\ rnd1 = rnd1]
  f28(I18, I19, I20, I21, I22, I23) -> f27(I18, I19, I20, I21, I22, I23) [I18 <= 0]
  f28(I24, I25, I26, I27, I28, I29) -> f27(I24, I25, I26, I27, 0, I29) [1 <= I24]
  f27(I30, I31, I32, I33, I34, I35) -> f26(I30, rnd2, rnd3, I33, I34, I35) [I33 <= rnd2 /\ rnd3 = rnd3 /\ rnd2 = rnd2]
  f26(I36, I37, I38, I39, I40, I41) -> f25(I36, I37, I38, I39, I40, I41) [I37 <= I39]
  f26(I42, I43, I44, I45, I46, I47) -> f25(I42, I43, I44, I45, 1, I47) [1 + I45 <= I43]
  f25(I48, I49, I50, I51, I52, I53) -> f19(I48, I49, I50, I51, I52, I53) 
  f20(I54, I55, I56, I57, I58, I59) -> f24(I54, I55, I56, I57, I58, I59) [I54 <= 0]
  f20(I60, I61, I62, I63, I64, I65) -> f24(I60, I61, I62, I63, 0, I65) [1 <= I60]
  f24(I66, I67, I68, I69, I70, I71) -> f23(I66, I72, I73, I69, I70, I71) [I69 <= I72 /\ I73 = I73 /\ I72 = I72]
  f23(I74, I75, I76, I77, I78, I79) -> f22(I74, I75, I76, I77, I78, I79) [I75 <= I77]
  f23(I80, I81, I82, I83, I84, I85) -> f22(I80, I81, I82, I83, 1, I85) [1 + I83 <= I81]
  f22(I86, I87, I88, I89, I90, I91) -> f10(I86, I87, I88, I89, I90, I91) 
  f19(I92, I93, I94, I95, I96, I97) -> f21(I92, I93, I94, I95, I96, I97) [I97 <= 0]
  f19(I98, I99, I100, I101, I102, I103) -> f20(I98, I99, I100, I99, I102, -1 + I103) [1 <= I103]
  f12(I104, I105, I106, I107, I108, I109) -> f18(I104, I105, I106, I107, I108, I109) [I104 <= 0]
  f12(I110, I111, I112, I113, I114, I115) -> f18(I110, I111, I112, I113, 0, I115) [1 <= I110]
  f18(I116, I117, I118, I119, I120, I121) -> f17(I116, I122, I123, I119, I120, I121) [I119 <= I122 /\ I123 = I123 /\ I122 = I122]
  f17(I124, I125, I126, I127, I128, I129) -> f16(I124, I125, I126, I127, I128, I129) [I127 <= I125 /\ I125 <= I127]
  f17(I130, I131, I132, I133, I134, I135) -> f16(I130, I131, I132, I133, 1, I135) [1 + I133 <= I131]
  f16(I136, I137, I138, I139, I140, I141) -> f10(I136, I137, I138, I139, I140, I141) 
  f11(I142, I143, I144, I145, I146, I147) -> f15(I142, I143, I144, I145, I146, I147) [I142 <= 0]
  f11(I148, I149, I150, I151, I152, I153) -> f15(I148, I149, I150, I151, 0, I153) [1 <= I148]
  f15(I154, I155, I156, I157, I158, I159) -> f14(I154, I160, I161, I157, I158, I159) [I157 <= I160 /\ I161 = I161 /\ I160 = I160]
  f14(I162, I163, I164, I165, I166, I167) -> f13(I162, I163, I164, I165, I166, I167) [I163 <= I165]
  f14(I168, I169, I170, I171, I172, I173) -> f13(I168, I169, I170, I171, 1, I173) [1 + I171 <= I169]
  f13(I174, I175, I176, I177, I178, I179) -> f9(I179, I175, I176, I175, I178, I179) 
  f10(I180, I181, I182, I183, I184, I185) -> f12(I180, I181, I182, I181, I184, I185) [I181 <= 0]
  f10(I186, I187, I188, I189, I190, I191) -> f11(I186, -1 + I187, I188, -1 + I187, I190, I191) [1 <= I187]
  f9(I192, I193, I194, I195, I196, I197) -> f8(I192, I193, I194, I195, I196, I197) [I192 <= 0]
  f9(I198, I199, I200, I201, I202, I203) -> f8(I198, I199, I200, I201, 0, I203) [1 <= I198]
  f8(I204, I205, I206, I207, I208, I209) -> f7(I204, I210, I211, I207, I208, I209) [I207 <= I210 /\ I211 = I211 /\ I210 = I210]
  f7(I212, I213, I214, I215, I216, I217) -> f6(I212, I213, I214, I215, I216, I217) [I213 <= I215]
  f7(I218, I219, I220, I221, I222, I223) -> f6(I218, I219, I220, I221, 1, I223) [1 + I221 <= I219]
  f6(I224, I225, I226, I227, I228, I229) -> f5(I224, I225, 1 + I226, I225, I228, I229) 
  f5(I230, I231, I232, I233, I234, I235) -> f4(I230, I231, I232, I233, I234, I235) [I230 <= 0]
  f5(I236, I237, I238, I239, I240, I241) -> f4(I236, I237, I238, I239, 0, I241) [1 <= I236]
  f4(I242, I243, I244, I245, I246, I247) -> f3(I242, I248, I249, I245, I246, I247) [I245 <= I248 /\ I249 = I249 /\ I248 = I248]
  f3(I250, I251, I252, I253, I254, I255) -> f1(I250, I251, I252, I253, I254, I255) [I251 <= I253]
  f3(I256, I257, I258, I259, I260, I261) -> f1(I256, I257, I258, I259, 1, I261) [1 + I259 <= I257]
  f1(I262, I263, I264, I265, I266, I267) -> f2(I262, I263, I264, I265, I266, I267)