Integer Transition Systems pair #487526751

details
property	value
status	complete
benchmark	java_BubbleSort.c.t2.smt2
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n154.star.cs.uiowa.edu
space	From_T2
run statistics
property	value
solver	Ctrl
configuration	Transition
runtime (wallclock)	87.9976611137 seconds
cpu usage	93.861163888
max memory	2.6812416E7
stage attributes
key	value
output-size	27282
starexec-result	YES
output
/export/starexec/sandbox/solver/bin/starexec_run_Transition /export/starexec/sandbox/benchmark/theBenchmark.smt2 /export/starexec/sandbox/output/output_files


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YES

DP problem for innermost termination.
P =
  f11#(x1, x2, x3, x4, x5, x6, x7, x8, x9) -> f10#(x1, x2, x3, x4, x5, x6, x7, x8, x9) 
  f10#(I9, I10, I11, I12, I13, I14, I15, I16, I17) -> f9#(I9, I10, I11, I12, I13, I14, I15, I16, I17) 
  f10#(I18, I19, I20, I21, I22, I23, I24, I25, I26) -> f5#(I18, I19, I20, I21, I22, I23, I24, I25, I26) 
  f10#(I27, I28, I29, I30, I31, I32, I33, I34, I35) -> f2#(I27, I28, I29, I30, I31, I32, I33, I34, I35) 
  f10#(I36, I37, I38, I39, I40, I41, I42, I43, I44) -> f7#(I36, I37, I38, I39, I40, I41, I42, I43, I44) 
  f10#(I45, I46, I47, I48, I49, I50, I51, I52, I53) -> f6#(I45, I46, I47, I48, I49, I50, I51, I52, I53) 
  f10#(I54, I55, I56, I57, I58, I59, I60, I61, I62) -> f4#(I54, I55, I56, I57, I58, I59, I60, I61, I62) 
  f10#(I63, I64, I65, I66, I67, I68, I69, I70, I71) -> f3#(I63, I64, I65, I66, I67, I68, I69, I70, I71) 
  f10#(I72, I73, I74, I75, I76, I77, I78, I79, I80) -> f1#(I72, I73, I74, I75, I76, I77, I78, I79, I80) 
  f10#(I81, I82, I83, I84, I85, I86, I87, I88, I89) -> f9#(I87, I88, I89, rnd4, rnd5, I86, I87, rnd8, rnd9) [rnd9 = rnd5 /\ rnd8 = rnd4 /\ rnd5 = rnd5 /\ rnd4 = rnd4]
  f9#(I90, I91, I92, I93, I94, I95, I96, I97, I98) -> f5#(I96, I97, I98, I99, I94, I95, I96, 1, I100) [I100 = I99 /\ I99 = I99]
  f5#(I101, I102, I103, I104, I105, I106, I107, I108, I109) -> f2#(I107, I108, I109, I104, I105, I106, I107, I108, 0) [1 + I108 <= I107]
  f5#(I110, I111, I112, I113, I114, I115, I116, I117, I118) -> f7#(I116, I117, I118, I119, I114, I115, I116, I117, I120) [I120 = I119 /\ I116 <= I117 /\ I119 = I119]
  f2#(I121, I122, I123, I124, I125, I126, I127, I128, I129) -> f6#(I127, I128, I129, I124, I125, I126, I127, I128, I129) [1 + I129 <= I127 - I128]
  f2#(I130, I131, I132, I133, I134, I135, I136, I137, I138) -> f4#(I136, I137, I138, I133, I134, I135, I136, I137, I138) [I136 - I137 <= I138]
  f6#(I152, I153, I154, I155, I156, I157, I158, I159, I160) -> f3#(I158, I159, I160, I161, I162, I157, I158, I159, I160) [1 + I162 <= I161 /\ I162 = I162 /\ I161 = I161]
  f6#(I163, I164, I165, I166, I167, I168, I169, I170, I171) -> f1#(I169, I170, I171, I172, I173, I168, I169, I170, I171) [I172 <= I173 /\ I173 = I173 /\ I172 = I172]
  f4#(I174, I175, I176, I177, I178, I179, I180, I181, I182) -> f5#(I180, I181, I182, I183, I178, I179, I180, 1 + I181, I184) [I184 = I183 /\ I183 = I183]
  f3#(I185, I186, I187, I188, I189, I190, I191, I192, I193) -> f1#(I191, I192, I193, I188, I189, I190, I191, I192, I193) 
  f1#(I194, I195, I196, I197, I198, I199, I200, I201, I202) -> f2#(I200, I201, I202, I197, I198, I199, I200, I201, 1 + I202) 
R = 
  f11(x1, x2, x3, x4, x5, x6, x7, x8, x9) -> f10(x1, x2, x3, x4, x5, x6, x7, x8, x9) 
  f10(I0, I1, I2, I3, I4, I5, I6, I7, I8) -> f8(I0, I1, I2, I3, I4, I5, I6, I7, I8) 
  f10(I9, I10, I11, I12, I13, I14, I15, I16, I17) -> f9(I9, I10, I11, I12, I13, I14, I15, I16, I17) 
  f10(I18, I19, I20, I21, I22, I23, I24, I25, I26) -> f5(I18, I19, I20, I21, I22, I23, I24, I25, I26) 
  f10(I27, I28, I29, I30, I31, I32, I33, I34, I35) -> f2(I27, I28, I29, I30, I31, I32, I33, I34, I35) 
  f10(I36, I37, I38, I39, I40, I41, I42, I43, I44) -> f7(I36, I37, I38, I39, I40, I41, I42, I43, I44) 
  f10(I45, I46, I47, I48, I49, I50, I51, I52, I53) -> f6(I45, I46, I47, I48, I49, I50, I51, I52, I53) 
  f10(I54, I55, I56, I57, I58, I59, I60, I61, I62) -> f4(I54, I55, I56, I57, I58, I59, I60, I61, I62) 
  f10(I63, I64, I65, I66, I67, I68, I69, I70, I71) -> f3(I63, I64, I65, I66, I67, I68, I69, I70, I71) 
  f10(I72, I73, I74, I75, I76, I77, I78, I79, I80) -> f1(I72, I73, I74, I75, I76, I77, I78, I79, I80) 
  f10(I81, I82, I83, I84, I85, I86, I87, I88, I89) -> f9(I87, I88, I89, rnd4, rnd5, I86, I87, rnd8, rnd9) [rnd9 = rnd5 /\ rnd8 = rnd4 /\ rnd5 = rnd5 /\ rnd4 = rnd4]
  f9(I90, I91, I92, I93, I94, I95, I96, I97, I98) -> f5(I96, I97, I98, I99, I94, I95, I96, 1, I100) [I100 = I99 /\ I99 = I99]
  f5(I101, I102, I103, I104, I105, I106, I107, I108, I109) -> f2(I107, I108, I109, I104, I105, I106, I107, I108, 0) [1 + I108 <= I107]
  f5(I110, I111, I112, I113, I114, I115, I116, I117, I118) -> f7(I116, I117, I118, I119, I114, I115, I116, I117, I120) [I120 = I119 /\ I116 <= I117 /\ I119 = I119]
  f2(I121, I122, I123, I124, I125, I126, I127, I128, I129) -> f6(I127, I128, I129, I124, I125, I126, I127, I128, I129) [1 + I129 <= I127 - I128]
  f2(I130, I131, I132, I133, I134, I135, I136, I137, I138) -> f4(I136, I137, I138, I133, I134, I135, I136, I137, I138) [I136 - I137 <= I138]
  f7(I139, I140, I141, I142, I143, I144, I145, I146, I147) -> f8(I145, I146, I147, I148, I149, rnd6, rnd7, I150, I151) [I151 = rnd6 /\ I150 = I149 /\ rnd7 = I148 /\ rnd6 = rnd6 /\ I149 = I149 /\ I148 = I148]
  f6(I152, I153, I154, I155, I156, I157, I158, I159, I160) -> f3(I158, I159, I160, I161, I162, I157, I158, I159, I160) [1 + I162 <= I161 /\ I162 = I162 /\ I161 = I161]
  f6(I163, I164, I165, I166, I167, I168, I169, I170, I171) -> f1(I169, I170, I171, I172, I173, I168, I169, I170, I171) [I172 <= I173 /\ I173 = I173 /\ I172 = I172]
  f4(I174, I175, I176, I177, I178, I179, I180, I181, I182) -> f5(I180, I181, I182, I183, I178, I179, I180, 1 + I181, I184) [I184 = I183 /\ I183 = I183]
  f3(I185, I186, I187, I188, I189, I190, I191, I192, I193) -> f1(I191, I192, I193, I188, I189, I190, I191, I192, I193) 
  f1(I194, I195, I196, I197, I198, I199, I200, I201, I202) -> f2(I200, I201, I202, I197, I198, I199, I200, I201, 1 + I202) 

The dependency graph for this problem is:
  0 -> 1, 2, 3, 4, 5, 6, 7, 8, 9
  1 -> 10
  2 -> 11, 12
  3 -> 13, 14
  4 -> 
  5 -> 15, 16
  6 -> 17
  7 -> 18
  8 -> 19
  9 -> 10
  10 -> 11, 12
  11 -> 13
  12 -> 
  13 -> 15, 16
  14 -> 17
  15 -> 18
  16 -> 19
  17 -> 11, 12
  18 -> 19
  19 -> 13, 14
Where:
  0) f11#(x1, x2, x3, x4, x5, x6, x7, x8, x9) -> f10#(x1, x2, x3, x4, x5, x6, x7, x8, x9) 
  1) f10#(I9, I10, I11, I12, I13, I14, I15, I16, I17) -> f9#(I9, I10, I11, I12, I13, I14, I15, I16, I17) 
  2) f10#(I18, I19, I20, I21, I22, I23, I24, I25, I26) -> f5#(I18, I19, I20, I21, I22, I23, I24, I25, I26) 
  3) f10#(I27, I28, I29, I30, I31, I32, I33, I34, I35) -> f2#(I27, I28, I29, I30, I31, I32, I33, I34, I35) 
  4) f10#(I36, I37, I38, I39, I40, I41, I42, I43, I44) -> f7#(I36, I37, I38, I39, I40, I41, I42, I43, I44) 
  5) f10#(I45, I46, I47, I48, I49, I50, I51, I52, I53) -> f6#(I45, I46, I47, I48, I49, I50, I51, I52, I53) 
  6) f10#(I54, I55, I56, I57, I58, I59, I60, I61, I62) -> f4#(I54, I55, I56, I57, I58, I59, I60, I61, I62) 
  7) f10#(I63, I64, I65, I66, I67, I68, I69, I70, I71) -> f3#(I63, I64, I65, I66, I67, I68, I69, I70, I71) 
  8) f10#(I72, I73, I74, I75, I76, I77, I78, I79, I80) -> f1#(I72, I73, I74, I75, I76, I77, I78, I79, I80) 
  9) f10#(I81, I82, I83, I84, I85, I86, I87, I88, I89) -> f9#(I87, I88, I89, rnd4, rnd5, I86, I87, rnd8, rnd9) [rnd9 = rnd5 /\ rnd8 = rnd4 /\ rnd5 = rnd5 /\ rnd4 = rnd4]
  10) f9#(I90, I91, I92, I93, I94, I95, I96, I97, I98) -> f5#(I96, I97, I98, I99, I94, I95, I96, 1, I100) [I100 = I99 /\ I99 = I99]
  11) f5#(I101, I102, I103, I104, I105, I106, I107, I108, I109) -> f2#(I107, I108, I109, I104, I105, I106, I107, I108, 0) [1 + I108 <= I107]
  12) f5#(I110, I111, I112, I113, I114, I115, I116, I117, I118) -> f7#(I116, I117, I118, I119, I114, I115, I116, I117, I120) [I120 = I119 /\ I116 <= I117 /\ I119 = I119]
  13) f2#(I121, I122, I123, I124, I125, I126, I127, I128, I129) -> f6#(I127, I128, I129, I124, I125, I126, I127, I128, I129) [1 + I129 <= I127 - I128]
  14) f2#(I130, I131, I132, I133, I134, I135, I136, I137, I138) -> f4#(I136, I137, I138, I133, I134, I135, I136, I137, I138) [I136 - I137 <= I138]
  15) f6#(I152, I153, I154, I155, I156, I157, I158, I159, I160) -> f3#(I158, I159, I160, I161, I162, I157, I158, I159, I160) [1 + I162 <= I161 /\ I162 = I162 /\ I161 = I161]
  16) f6#(I163, I164, I165, I166, I167, I168, I169, I170, I171) -> f1#(I169, I170, I171, I172, I173, I168, I169, I170, I171) [I172 <= I173 /\ I173 = I173 /\ I172 = I172]
  17) f4#(I174, I175, I176, I177, I178, I179, I180, I181, I182) -> f5#(I180, I181, I182, I183, I178, I179, I180, 1 + I181, I184) [I184 = I183 /\ I183 = I183]
  18) f3#(I185, I186, I187, I188, I189, I190, I191, I192, I193) -> f1#(I191, I192, I193, I188, I189, I190, I191, I192, I193) 
  19) f1#(I194, I195, I196, I197, I198, I199, I200, I201, I202) -> f2#(I200, I201, I202, I197, I198, I199, I200, I201, 1 + I202) 

We have the following SCCs.
  { 11, 13, 14, 15, 16, 17, 18, 19 }
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