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


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YES

DP problem for innermost termination.
P =
  f7#(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17) -> f1#(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17) 
  f2#(I0, I1, I2, I3, I4, I5, I6, I7, I8, I9, I10, I11, I12, I13, I14, I15, I16) -> f3#(I0, rnd2, rnd3, 1 + I3, I4, I5, I6, I7, I8, I9, rnd11, rnd12, rnd13, I13, I14, rnd16, I15) [1 <= I5 /\ I15 <= rnd11 /\ rnd11 <= I15 /\ I15 <= rnd2 /\ rnd2 <= I15 /\ rnd11 <= rnd2 /\ rnd2 <= rnd11 /\ rnd3 <= rnd13 /\ rnd13 <= rnd3 /\ I5 <= rnd12 /\ rnd12 <= I5 /\ 1 + I3 <= 1 /\ 1 <= 1 + I3 /\ rnd2 = I15 /\ rnd16 = rnd16 /\ 1 + I3 <= I5 /\ rnd11 = rnd11 /\ rnd3 = rnd3 /\ rnd13 = rnd13 /\ rnd12 = rnd12]
  f6#(I39, I40, I41, I42, I43, I44, I45, I46, I47, I48, I49, I50, I51, I52, I53, I54, I55) -> f5#(I39, I40, I41, I42, I43, I44, I45, I46, I47, I48, I49, I50, I51, I52, I53, I54, I55) 
  f5#(I56, I57, I58, I59, I60, I61, I62, I63, I64, I65, I66, I67, I68, I69, I70, I71, I72) -> f6#(I56, I73, I58, 1 + I59, rnd5, I61, I62, I63, rnd9, I65, I66, I67, I68, I69, I70, I74, I71) [1 + rnd5 <= I61 /\ -1 + 1 + I59 <= rnd5 /\ rnd5 <= -1 + 1 + I59 /\ 1 + rnd5 <= 1 + I59 /\ 1 + I59 <= 1 + rnd5 /\ I73 = I71 /\ I74 = I74 /\ 1 + I59 <= I61 /\ rnd5 = rnd5 /\ rnd9 = rnd9 /\ 0 <= I59]
  f3#(I104, I105, I106, I107, I108, I109, I110, I111, I112, I113, I114, I115, I116, I117, I118, I119, I120) -> f5#(I104, I121, I122, 1 + I107, I108, I109, I110, rnd8, I112, I113, I123, I124, I125, I117, I118, I126, I119) [2 <= I109 /\ 1 <= I109 /\ I119 <= I123 /\ I123 <= I119 /\ I119 <= I121 /\ I121 <= I119 /\ I123 <= I121 /\ I121 <= I123 /\ I122 <= I125 /\ I125 <= I122 /\ I109 <= I124 /\ I124 <= I109 /\ 1 + I107 <= 2 /\ 2 <= 1 + I107 /\ I121 = I119 /\ I126 = I126 /\ 1 + I107 <= I109 /\ rnd8 = rnd8 /\ I123 = I123 /\ I122 = I122 /\ I125 = I125 /\ I124 = I124]
  f1#(I156, I157, I158, I159, I160, I161, I162, I163, I164, I165, I166, I167, I168, I169, I170, I171, I172) -> f2#(I156, I173, I168, 0, I160, I174, rnd7, I163, I164, I165, I166, I175, I168, I169, I170, I171, I172) [I176 = I176 /\ I175 = I176 /\ rnd7 = rnd7 /\ I174 = I175 /\ I173 = I168 /\ 0 <= 0 /\ 0 <= 0 /\ I175 <= I174 /\ I174 <= I175 /\ I168 <= I168 /\ I168 <= I168 /\ I168 <= I173 /\ I173 <= I168 /\ I168 <= I173 /\ I173 <= I168]
R = 
  f7(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17) -> f1(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17) 
  f2(I0, I1, I2, I3, I4, I5, I6, I7, I8, I9, I10, I11, I12, I13, I14, I15, I16) -> f3(I0, rnd2, rnd3, 1 + I3, I4, I5, I6, I7, I8, I9, rnd11, rnd12, rnd13, I13, I14, rnd16, I15) [1 <= I5 /\ I15 <= rnd11 /\ rnd11 <= I15 /\ I15 <= rnd2 /\ rnd2 <= I15 /\ rnd11 <= rnd2 /\ rnd2 <= rnd11 /\ rnd3 <= rnd13 /\ rnd13 <= rnd3 /\ I5 <= rnd12 /\ rnd12 <= I5 /\ 1 + I3 <= 1 /\ 1 <= 1 + I3 /\ rnd2 = I15 /\ rnd16 = rnd16 /\ 1 + I3 <= I5 /\ rnd11 = rnd11 /\ rnd3 = rnd3 /\ rnd13 = rnd13 /\ rnd12 = rnd12]
  f2(I17, I18, I19, I20, I21, I22, I23, I24, I25, I26, I27, I28, I29, I30, I31, I32, I33) -> f4(rnd1, I34, I35, rnd4, I21, rnd6, I23, I24, I25, I30, I36, I37, I29, I30, rnd15, I38, rnd17) [I37 = I37 /\ I22 <= I20 /\ y3 = I18 /\ y1 = y3 /\ rnd6 = rnd6 /\ I35 = I35 /\ rnd4 = rnd4 /\ rnd15 = rnd15 /\ I34 = I34 /\ I36 = I36 /\ rnd17 = rnd17 /\ I38 = I38 /\ rnd1 = y1 /\ y2 = y2 /\ I37 <= 0]
  f6(I39, I40, I41, I42, I43, I44, I45, I46, I47, I48, I49, I50, I51, I52, I53, I54, I55) -> f5(I39, I40, I41, I42, I43, I44, I45, I46, I47, I48, I49, I50, I51, I52, I53, I54, I55) 
  f5(I56, I57, I58, I59, I60, I61, I62, I63, I64, I65, I66, I67, I68, I69, I70, I71, I72) -> f6(I56, I73, I58, 1 + I59, rnd5, I61, I62, I63, rnd9, I65, I66, I67, I68, I69, I70, I74, I71) [1 + rnd5 <= I61 /\ -1 + 1 + I59 <= rnd5 /\ rnd5 <= -1 + 1 + I59 /\ 1 + rnd5 <= 1 + I59 /\ 1 + I59 <= 1 + rnd5 /\ I73 = I71 /\ I74 = I74 /\ 1 + I59 <= I61 /\ rnd5 = rnd5 /\ rnd9 = rnd9 /\ 0 <= I59]
  f5(I75, I76, I77, I78, I79, I80, I81, I82, I83, I84, I85, I86, I87, I88, I89, I90, I91) -> f4(I92, I93, I94, I95, I79, I96, I81, I82, I83, I88, I97, I98, I87, I88, I99, I100, I101) [0 <= I78 /\ I98 = I98 /\ I80 <= I78 /\ I102 = I76 /\ I103 = I102 /\ I96 = I96 /\ I94 = I94 /\ I95 = I95 /\ I99 = I99 /\ I93 = I93 /\ I97 = I97 /\ I101 = I101 /\ I100 = I100 /\ I92 = I103 /\ B0 = B0 /\ 1 <= I98 /\ 2 <= I98 /\ I98 <= I95]
  f3(I104, I105, I106, I107, I108, I109, I110, I111, I112, I113, I114, I115, I116, I117, I118, I119, I120) -> f5(I104, I121, I122, 1 + I107, I108, I109, I110, rnd8, I112, I113, I123, I124, I125, I117, I118, I126, I119) [2 <= I109 /\ 1 <= I109 /\ I119 <= I123 /\ I123 <= I119 /\ I119 <= I121 /\ I121 <= I119 /\ I123 <= I121 /\ I121 <= I123 /\ I122 <= I125 /\ I125 <= I122 /\ I109 <= I124 /\ I124 <= I109 /\ 1 + I107 <= 2 /\ 2 <= 1 + I107 /\ I121 = I119 /\ I126 = I126 /\ 1 + I107 <= I109 /\ rnd8 = rnd8 /\ I123 = I123 /\ I122 = I122 /\ I125 = I125 /\ I124 = I124]
  f3(I127, I128, I129, I130, I131, I132, I133, I134, I135, I136, I137, I138, I139, I140, I141, I142, I143) -> f4(I144, I145, I146, I147, I131, I148, I133, I134, I135, I140, I149, I150, I139, I140, I151, I152, I153) [I150 = I150 /\ I132 <= I130 /\ I154 = I128 /\ I155 = I154 /\ I148 = I148 /\ I146 = I146 /\ I147 = I147 /\ I151 = I151 /\ I145 = I145 /\ I149 = I149 /\ I153 = I153 /\ I152 = I152 /\ I144 = I155 /\ B1 = B1 /\ 1 <= I150 /\ I150 <= 1 /\ 1 <= I150 /\ I150 <= 1]
  f1(I156, I157, I158, I159, I160, I161, I162, I163, I164, I165, I166, I167, I168, I169, I170, I171, I172) -> f2(I156, I173, I168, 0, I160, I174, rnd7, I163, I164, I165, I166, I175, I168, I169, I170, I171, I172) [I176 = I176 /\ I175 = I176 /\ rnd7 = rnd7 /\ I174 = I175 /\ I173 = I168 /\ 0 <= 0 /\ 0 <= 0 /\ I175 <= I174 /\ I174 <= I175 /\ I168 <= I168 /\ I168 <= I168 /\ I168 <= I173 /\ I173 <= I168 /\ I168 <= I173 /\ I173 <= I168]

The dependency graph for this problem is:
  0 -> 5
  1 -> 4
  2 -> 3
  3 -> 2
  4 -> 3
  5 -> 1
Where:
  0) f7#(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17) -> f1#(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17) 
  1) f2#(I0, I1, I2, I3, I4, I5, I6, I7, I8, I9, I10, I11, I12, I13, I14, I15, I16) -> f3#(I0, rnd2, rnd3, 1 + I3, I4, I5, I6, I7, I8, I9, rnd11, rnd12, rnd13, I13, I14, rnd16, I15) [1 <= I5 /\ I15 <= rnd11 /\ rnd11 <= I15 /\ I15 <= rnd2 /\ rnd2 <= I15 /\ rnd11 <= rnd2 /\ rnd2 <= rnd11 /\ rnd3 <= rnd13 /\ rnd13 <= rnd3 /\ I5 <= rnd12 /\ rnd12 <= I5 /\ 1 + I3 <= 1 /\ 1 <= 1 + I3 /\ rnd2 = I15 /\ rnd16 = rnd16 /\ 1 + I3 <= I5 /\ rnd11 = rnd11 /\ rnd3 = rnd3 /\ rnd13 = rnd13 /\ rnd12 = rnd12]
  2) f6#(I39, I40, I41, I42, I43, I44, I45, I46, I47, I48, I49, I50, I51, I52, I53, I54, I55) -> f5#(I39, I40, I41, I42, I43, I44, I45, I46, I47, I48, I49, I50, I51, I52, I53, I54, I55) 
  3) f5#(I56, I57, I58, I59, I60, I61, I62, I63, I64, I65, I66, I67, I68, I69, I70, I71, I72) -> f6#(I56, I73, I58, 1 + I59, rnd5, I61, I62, I63, rnd9, I65, I66, I67, I68, I69, I70, I74, I71) [1 + rnd5 <= I61 /\ -1 + 1 + I59 <= rnd5 /\ rnd5 <= -1 + 1 + I59 /\ 1 + rnd5 <= 1 + I59 /\ 1 + I59 <= 1 + rnd5 /\ I73 = I71 /\ I74 = I74 /\ 1 + I59 <= I61 /\ rnd5 = rnd5 /\ rnd9 = rnd9 /\ 0 <= I59]
  4) f3#(I104, I105, I106, I107, I108, I109, I110, I111, I112, I113, I114, I115, I116, I117, I118, I119, I120) -> f5#(I104, I121, I122, 1 + I107, I108, I109, I110, rnd8, I112, I113, I123, I124, I125, I117, I118, I126, I119) [2 <= I109 /\ 1 <= I109 /\ I119 <= I123 /\ I123 <= I119 /\ I119 <= I121 /\ I121 <= I119 /\ I123 <= I121 /\ I121 <= I123 /\ I122 <= I125 /\ I125 <= I122 /\ I109 <= I124 /\ I124 <= I109 /\ 1 + I107 <= 2 /\ 2 <= 1 + I107 /\ I121 = I119 /\ I126 = I126 /\ 1 + I107 <= I109 /\ rnd8 = rnd8 /\ I123 = I123 /\ I122 = I122 /\ I125 = I125 /\ I124 = I124]
  5) f1#(I156, I157, I158, I159, I160, I161, I162, I163, I164, I165, I166, I167, I168, I169, I170, I171, I172) -> f2#(I156, I173, I168, 0, I160, I174, rnd7, I163, I164, I165, I166, I175, I168, I169, I170, I171, I172) [I176 = I176 /\ I175 = I176 /\ rnd7 = rnd7 /\ I174 = I175 /\ I173 = I168 /\ 0 <= 0 /\ 0 <= 0 /\ I175 <= I174 /\ I174 <= I175 /\ I168 <= I168 /\ I168 <= I168 /\ I168 <= I173 /\ I173 <= I168 /\ I168 <= I173 /\ I173 <= I168]

We have the following SCCs.
  { 2, 3 }

DP problem for innermost termination.
P =
  f6#(I39, I40, I41, I42, I43, I44, I45, I46, I47, I48, I49, I50, I51, I52, I53, I54, I55) -> f5#(I39, I40, I41, I42, I43, I44, I45, I46, I47, I48, I49, I50, I51, I52, I53, I54, I55) 
  f5#(I56, I57, I58, I59, I60, I61, I62, I63, I64, I65, I66, I67, I68, I69, I70, I71, I72) -> f6#(I56, I73, I58, 1 + I59, rnd5, I61, I62, I63, rnd9, I65, I66, I67, I68, I69, I70, I74, I71) [1 + rnd5 <= I61 /\ -1 + 1 + I59 <= rnd5 /\ rnd5 <= -1 + 1 + I59 /\ 1 + rnd5 <= 1 + I59 /\ 1 + I59 <= 1 + rnd5 /\ I73 = I71 /\ I74 = I74 /\ 1 + I59 <= I61 /\ rnd5 = rnd5 /\ rnd9 = rnd9 /\ 0 <= I59]
R = 
  f7(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17) -> f1(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17) 
  f2(I0, I1, I2, I3, I4, I5, I6, I7, I8, I9, I10, I11, I12, I13, I14, I15, I16) -> f3(I0, rnd2, rnd3, 1 + I3, I4, I5, I6, I7, I8, I9, rnd11, rnd12, rnd13, I13, I14, rnd16, I15) [1 <= I5 /\ I15 <= rnd11 /\ rnd11 <= I15 /\ I15 <= rnd2 /\ rnd2 <= I15 /\ rnd11 <= rnd2 /\ rnd2 <= rnd11 /\ rnd3 <= rnd13 /\ rnd13 <= rnd3 /\ I5 <= rnd12 /\ rnd12 <= I5 /\ 1 + I3 <= 1 /\ 1 <= 1 + I3 /\ rnd2 = I15 /\ rnd16 = rnd16 /\ 1 + I3 <= I5 /\ rnd11 = rnd11 /\ rnd3 = rnd3 /\ rnd13 = rnd13 /\ rnd12 = rnd12]
  f2(I17, I18, I19, I20, I21, I22, I23, I24, I25, I26, I27, I28, I29, I30, I31, I32, I33) -> f4(rnd1, I34, I35, rnd4, I21, rnd6, I23, I24, I25, I30, I36, I37, I29, I30, rnd15, I38, rnd17) [I37 = I37 /\ I22 <= I20 /\ y3 = I18 /\ y1 = y3 /\ rnd6 = rnd6 /\ I35 = I35 /\ rnd4 = rnd4 /\ rnd15 = rnd15 /\ I34 = I34 /\ I36 = I36 /\ rnd17 = rnd17 /\ I38 = I38 /\ rnd1 = y1 /\ y2 = y2 /\ I37 <= 0]
  f6(I39, I40, I41, I42, I43, I44, I45, I46, I47, I48, I49, I50, I51, I52, I53, I54, I55) -> f5(I39, I40, I41, I42, I43, I44, I45, I46, I47, I48, I49, I50, I51, I52, I53, I54, I55) 
  f5(I56, I57, I58, I59, I60, I61, I62, I63, I64, I65, I66, I67, I68, I69, I70, I71, I72) -> f6(I56, I73, I58, 1 + I59, rnd5, I61, I62, I63, rnd9, I65, I66, I67, I68, I69, I70, I74, I71) [1 + rnd5 <= I61 /\ -1 + 1 + I59 <= rnd5 /\ rnd5 <= -1 + 1 + I59 /\ 1 + rnd5 <= 1 + I59 /\ 1 + I59 <= 1 + rnd5 /\ I73 = I71 /\ I74 = I74 /\ 1 + I59 <= I61 /\ rnd5 = rnd5 /\ rnd9 = rnd9 /\ 0 <= I59]
  f5(I75, I76, I77, I78, I79, I80, I81, I82, I83, I84, I85, I86, I87, I88, I89, I90, I91) -> f4(I92, I93, I94, I95, I79, I96, I81, I82, I83, I88, I97, I98, I87, I88, I99, I100, I101) [0 <= I78 /\ I98 = I98 /\ I80 <= I78 /\ I102 = I76 /\ I103 = I102 /\ I96 = I96 /\ I94 = I94 /\ I95 = I95 /\ I99 = I99 /\ I93 = I93 /\ I97 = I97 /\ I101 = I101 /\ I100 = I100 /\ I92 = I103 /\ B0 = B0 /\ 1 <= I98 /\ 2 <= I98 /\ I98 <= I95]
  f3(I104, I105, I106, I107, I108, I109, I110, I111, I112, I113, I114, I115, I116, I117, I118, I119, I120) -> f5(I104, I121, I122, 1 + I107, I108, I109, I110, rnd8, I112, I113, I123, I124, I125, I117, I118, I126, I119) [2 <= I109 /\ 1 <= I109 /\ I119 <= I123 /\ I123 <= I119 /\ I119 <= I121 /\ I121 <= I119 /\ I123 <= I121 /\ I121 <= I123 /\ I122 <= I125 /\ I125 <= I122 /\ I109 <= I124 /\ I124 <= I109 /\ 1 + I107 <= 2 /\ 2 <= 1 + I107 /\ I121 = I119 /\ I126 = I126 /\ 1 + I107 <= I109 /\ rnd8 = rnd8 /\ I123 = I123 /\ I122 = I122 /\ I125 = I125 /\ I124 = I124]
  f3(I127, I128, I129, I130, I131, I132, I133, I134, I135, I136, I137, I138, I139, I140, I141, I142, I143) -> f4(I144, I145, I146, I147, I131, I148, I133, I134, I135, I140, I149, I150, I139, I140, I151, I152, I153) [I150 = I150 /\ I132 <= I130 /\ I154 = I128 /\ I155 = I154 /\ I148 = I148 /\ I146 = I146 /\ I147 = I147 /\ I151 = I151 /\ I145 = I145 /\ I149 = I149 /\ I153 = I153 /\ I152 = I152 /\ I144 = I155 /\ B1 = B1 /\ 1 <= I150 /\ I150 <= 1 /\ 1 <= I150 /\ I150 <= 1]
  f1(I156, I157, I158, I159, I160, I161, I162, I163, I164, I165, I166, I167, I168, I169, I170, I171, I172) -> f2(I156, I173, I168, 0, I160, I174, rnd7, I163, I164, I165, I166, I175, I168, I169, I170, I171, I172) [I176 = I176 /\ I175 = I176 /\ rnd7 = rnd7 /\ I174 = I175 /\ I173 = I168 /\ 0 <= 0 /\ 0 <= 0 /\ I175 <= I174 /\ I174 <= I175 /\ I168 <= I168 /\ I168 <= I168 /\ I168 <= I173 /\ I173 <= I168 /\ I168 <= I173 /\ I173 <= I168]

We use the reverse value criterion with the projection function NU:
  NU[f5#(z1,z2,z3,z4,z5,z6,z7,z8,z9,z10,z11,z12,z13,z14,z15,z16,z17)] = z6 + -1 * (1 + z4)
  NU[f6#(z1,z2,z3,z4,z5,z6,z7,z8,z9,z10,z11,z12,z13,z14,z15,z16,z17)] = z6 + -1 * (1 + z4)

This gives the following inequalities:
    ==>  I44 + -1 * (1 + I42) >= I44 + -1 * (1 + I42)
  1 + rnd5 <= I61 /\ -1 + 1 + I59 <= rnd5 /\ rnd5 <= -1 + 1 + I59 /\ 1 + rnd5 <= 1 + I59 /\ 1 + I59 <= 1 + rnd5 /\ I73 = I71 /\ I74 = I74 /\ 1 + I59 <= I61 /\ rnd5 = rnd5 /\ rnd9 = rnd9 /\ 0 <= I59  ==>  I61 + -1 * (1 + I59) > I61 + -1 * (1 + (1 + I59))  with  I61 + -1 * (1 + I59) >= 0

We remove all the strictly oriented dependency pairs.

DP problem for innermost termination.
P =
  f6#(I39, I40, I41, I42, I43, I44, I45, I46, I47, I48, I49, I50, I51, I52, I53, I54, I55) -> f5#(I39, I40, I41, I42, I43, I44, I45, I46, I47, I48, I49, I50, I51, I52, I53, I54, I55) 
R = 
  f7(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17) -> f1(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17) 
  f2(I0, I1, I2, I3, I4, I5, I6, I7, I8, I9, I10, I11, I12, I13, I14, I15, I16) -> f3(I0, rnd2, rnd3, 1 + I3, I4, I5, I6, I7, I8, I9, rnd11, rnd12, rnd13, I13, I14, rnd16, I15) [1 <= I5 /\ I15 <= rnd11 /\ rnd11 <= I15 /\ I15 <= rnd2 /\ rnd2 <= I15 /\ rnd11 <= rnd2 /\ rnd2 <= rnd11 /\ rnd3 <= rnd13 /\ rnd13 <= rnd3 /\ I5 <= rnd12 /\ rnd12 <= I5 /\ 1 + I3 <= 1 /\ 1 <= 1 + I3 /\ rnd2 = I15 /\ rnd16 = rnd16 /\ 1 + I3 <= I5 /\ rnd11 = rnd11 /\ rnd3 = rnd3 /\ rnd13 = rnd13 /\ rnd12 = rnd12]
  f2(I17, I18, I19, I20, I21, I22, I23, I24, I25, I26, I27, I28, I29, I30, I31, I32, I33) -> f4(rnd1, I34, I35, rnd4, I21, rnd6, I23, I24, I25, I30, I36, I37, I29, I30, rnd15, I38, rnd17) [I37 = I37 /\ I22 <= I20 /\ y3 = I18 /\ y1 = y3 /\ rnd6 = rnd6 /\ I35 = I35 /\ rnd4 = rnd4 /\ rnd15 = rnd15 /\ I34 = I34 /\ I36 = I36 /\ rnd17 = rnd17 /\ I38 = I38 /\ rnd1 = y1 /\ y2 = y2 /\ I37 <= 0]
  f6(I39, I40, I41, I42, I43, I44, I45, I46, I47, I48, I49, I50, I51, I52, I53, I54, I55) -> f5(I39, I40, I41, I42, I43, I44, I45, I46, I47, I48, I49, I50, I51, I52, I53, I54, I55) 
  f5(I56, I57, I58, I59, I60, I61, I62, I63, I64, I65, I66, I67, I68, I69, I70, I71, I72) -> f6(I56, I73, I58, 1 + I59, rnd5, I61, I62, I63, rnd9, I65, I66, I67, I68, I69, I70, I74, I71) [1 + rnd5 <= I61 /\ -1 + 1 + I59 <= rnd5 /\ rnd5 <= -1 + 1 + I59 /\ 1 + rnd5 <= 1 + I59 /\ 1 + I59 <= 1 + rnd5 /\ I73 = I71 /\ I74 = I74 /\ 1 + I59 <= I61 /\ rnd5 = rnd5 /\ rnd9 = rnd9 /\ 0 <= I59]
  f5(I75, I76, I77, I78, I79, I80, I81, I82, I83, I84, I85, I86, I87, I88, I89, I90, I91) -> f4(I92, I93, I94, I95, I79, I96, I81, I82, I83, I88, I97, I98, I87, I88, I99, I100, I101) [0 <= I78 /\ I98 = I98 /\ I80 <= I78 /\ I102 = I76 /\ I103 = I102 /\ I96 = I96 /\ I94 = I94 /\ I95 = I95 /\ I99 = I99 /\ I93 = I93 /\ I97 = I97 /\ I101 = I101 /\ I100 = I100 /\ I92 = I103 /\ B0 = B0 /\ 1 <= I98 /\ 2 <= I98 /\ I98 <= I95]
  f3(I104, I105, I106, I107, I108, I109, I110, I111, I112, I113, I114, I115, I116, I117, I118, I119, I120) -> f5(I104, I121, I122, 1 + I107, I108, I109, I110, rnd8, I112, I113, I123, I124, I125, I117, I118, I126, I119) [2 <= I109 /\ 1 <= I109 /\ I119 <= I123 /\ I123 <= I119 /\ I119 <= I121 /\ I121 <= I119 /\ I123 <= I121 /\ I121 <= I123 /\ I122 <= I125 /\ I125 <= I122 /\ I109 <= I124 /\ I124 <= I109 /\ 1 + I107 <= 2 /\ 2 <= 1 + I107 /\ I121 = I119 /\ I126 = I126 /\ 1 + I107 <= I109 /\ rnd8 = rnd8 /\ I123 = I123 /\ I122 = I122 /\ I125 = I125 /\ I124 = I124]
  f3(I127, I128, I129, I130, I131, I132, I133, I134, I135, I136, I137, I138, I139, I140, I141, I142, I143) -> f4(I144, I145, I146, I147, I131, I148, I133, I134, I135, I140, I149, I150, I139, I140, I151, I152, I153) [I150 = I150 /\ I132 <= I130 /\ I154 = I128 /\ I155 = I154 /\ I148 = I148 /\ I146 = I146 /\ I147 = I147 /\ I151 = I151 /\ I145 = I145 /\ I149 = I149 /\ I153 = I153 /\ I152 = I152 /\ I144 = I155 /\ B1 = B1 /\ 1 <= I150 /\ I150 <= 1 /\ 1 <= I150 /\ I150 <= 1]
  f1(I156, I157, I158, I159, I160, I161, I162, I163, I164, I165, I166, I167, I168, I169, I170, I171, I172) -> f2(I156, I173, I168, 0, I160, I174, rnd7, I163, I164, I165, I166, I175, I168, I169, I170, I171, I172) [I176 = I176 /\ I175 = I176 /\ rnd7 = rnd7 /\ I174 = I175 /\ I173 = I168 /\ 0 <= 0 /\ 0 <= 0 /\ I175 <= I174 /\ I174 <= I175 /\ I168 <= I168 /\ I168 <= I168 /\ I168 <= I173 /\ I173 <= I168 /\ I168 <= I173 /\ I173 <= I168]

The dependency graph for this problem is:
  2 -> 
Where:
  2) f6#(I39, I40, I41, I42, I43, I44, I45, I46, I47, I48, I49, I50, I51, I52, I53, I54, I55) -> f5#(I39, I40, I41, I42, I43, I44, I45, I46, I47, I48, I49, I50, I51, I52, I53, I54, I55) 

We have the following SCCs.