Integer Transition Systems pair #487528758

details
property	value
status	complete
benchmark	DupTreeRec.jar-obl-9.smt2
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n143.star.cs.uiowa.edu
space	From_AProVE_2014
run statistics
property	value
solver	Ctrl
configuration	Transition
runtime (wallclock)	16.0169029236 seconds
cpu usage	17.097011928
max memory	2.3597056E7
stage attributes
key	value
output-size	22867
starexec-result	YES
output
/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 =
  init#(x1, x2, x3, x4, x5, x6) -> f1#(rnd1, rnd2, rnd3, rnd4, rnd5, rnd6) 
  f8#(I0, I1, I2, I3, I4, I5) -> f7#(I6, I2, I7, I8, I9, I10) [-1 <= I6 - 1 /\ -1 <= I3 - 1 /\ -1 <= I1 - 1 /\ 4 <= I0 - 1 /\ I6 <= I3 /\ I6 <= I1 /\ I6 + 4 <= I0]
  f7#(I11, I12, I13, I14, I15, I16) -> f8#(I17, I18, I12, I19, I20, I21) [-1 <= I19 - 1 /\ -1 <= I18 - 1 /\ 10 <= I17 - 1 /\ 0 <= I11 - 1 /\ I19 + 1 <= I11 /\ I18 + 1 <= I11]
  f7#(I22, I23, I24, I25, I26, I27) -> f8#(I28, I29, I23, I30, I31, I32) [-1 <= I30 - 1 /\ -1 <= I29 - 1 /\ 5 <= I28 - 1 /\ 3 <= I22 - 1 /\ I30 + 2 <= I22 /\ I29 + 2 <= I22 /\ I28 - 2 <= I22]
  f7#(I33, I34, I35, I36, I37, I38) -> f3#(I39, I40, I41, I42, I43, I44) [-1 <= I39 - 1 /\ 0 <= I33 - 1 /\ I39 + 1 <= I33]
  f3#(I45, I46, I47, I48, I49, I50) -> f7#(I51, I52, I53, I54, I55, I56) [-1 <= I51 - 1 /\ 0 <= I45 - 1 /\ I51 + 1 <= I45]
  f6#(I57, I58, I59, I60, I61, I62) -> f6#(I57, I58, I59 + 1, I60, I61, I63) [I58 - 1 <= I58 - 1 /\ -1 <= I58 - 1 /\ I58 - 1 <= I57 - 1 /\ I58 <= I57 - 1 /\ 1 <= I62 - 1 /\ 0 <= I57 - 1 /\ I59 <= I60 - 1 /\ 0 <= I60 - 1]
  f6#(I64, I65, I66, I67, I68, I69) -> f6#(I64, I65, I66 + 1, I67, I68, I69) [I65 - 1 <= I65 - 1 /\ -1 <= I65 - 1 /\ I65 - 1 <= I64 - 1 /\ I65 <= I64 - 1 /\ 1 <= I69 - 1 /\ 0 <= I64 - 1 /\ I66 <= I67 - 1 /\ 0 <= I67 - 1]
  f6#(I70, I71, I72, I73, I74, I75) -> f2#(I71 - 1, I74, I75, I76, I77, I78) [I71 - 1 <= I71 - 1 /\ -1 <= I71 - 1 /\ I71 - 1 <= I70 - 1 /\ I71 <= I70 - 1 /\ 1 <= I75 - 1 /\ 0 <= I70 - 1 /\ I72 <= I73 - 1 /\ 0 <= I73 - 1]
  f2#(I79, I80, I81, I82, I83, I84) -> f6#(I79, I79 - 1, 0, I85, I80, I81 + 1) [-1 <= I85 - 1 /\ I81 <= I80 - 1 /\ 0 <= I81 - 1 /\ 0 <= I79 - 1 /\ -1 <= I80 - 1]
  f4#(I86, I87, I88, I89, I90, I91) -> f3#(I92, I93, I94, I95, I96, I97) [0 <= y1 - 1 /\ 1 <= I88 - 1 /\ I92 <= I87 /\ 0 <= I86 - 1 /\ 0 <= I87 - 1 /\ 0 <= I92 - 1]
  f5#(I98, I99, I100, I101, I102, I103) -> f4#(I104, I105, I99, I106, I107, I108) [1 <= I105 - 1 /\ 0 <= I104 - 1 /\ 0 <= I98 - 1 /\ I105 - 1 <= I98 /\ I104 <= I98]
  f1#(I109, I110, I111, I112, I113, I114) -> f4#(I115, I116, I117, I118, I119, I120) [-1 <= I121 - 1 /\ 0 <= I110 - 1 /\ I115 <= I109 /\ 0 <= I109 - 1 /\ 0 <= I115 - 1 /\ 0 <= I116 - 1]
  f1#(I122, I123, I124, I125, I126, I127) -> f3#(I128, I129, I130, I131, I132, I133) [-1 <= I128 - 1 /\ 0 <= I122 - 1 /\ 0 <= I123 - 1 /\ I128 + 1 <= I122]
  f1#(I134, I135, I136, I137, I138, I139) -> f2#(I140, I135, 1, I141, I142, I143) [0 <= I134 - 1 /\ 0 <= I135 - 1 /\ -1 <= I140 - 1]
R = 
  init(x1, x2, x3, x4, x5, x6) -> f1(rnd1, rnd2, rnd3, rnd4, rnd5, rnd6) 
  f8(I0, I1, I2, I3, I4, I5) -> f7(I6, I2, I7, I8, I9, I10) [-1 <= I6 - 1 /\ -1 <= I3 - 1 /\ -1 <= I1 - 1 /\ 4 <= I0 - 1 /\ I6 <= I3 /\ I6 <= I1 /\ I6 + 4 <= I0]
  f7(I11, I12, I13, I14, I15, I16) -> f8(I17, I18, I12, I19, I20, I21) [-1 <= I19 - 1 /\ -1 <= I18 - 1 /\ 10 <= I17 - 1 /\ 0 <= I11 - 1 /\ I19 + 1 <= I11 /\ I18 + 1 <= I11]
  f7(I22, I23, I24, I25, I26, I27) -> f8(I28, I29, I23, I30, I31, I32) [-1 <= I30 - 1 /\ -1 <= I29 - 1 /\ 5 <= I28 - 1 /\ 3 <= I22 - 1 /\ I30 + 2 <= I22 /\ I29 + 2 <= I22 /\ I28 - 2 <= I22]
  f7(I33, I34, I35, I36, I37, I38) -> f3(I39, I40, I41, I42, I43, I44) [-1 <= I39 - 1 /\ 0 <= I33 - 1 /\ I39 + 1 <= I33]
  f3(I45, I46, I47, I48, I49, I50) -> f7(I51, I52, I53, I54, I55, I56) [-1 <= I51 - 1 /\ 0 <= I45 - 1 /\ I51 + 1 <= I45]
  f6(I57, I58, I59, I60, I61, I62) -> f6(I57, I58, I59 + 1, I60, I61, I63) [I58 - 1 <= I58 - 1 /\ -1 <= I58 - 1 /\ I58 - 1 <= I57 - 1 /\ I58 <= I57 - 1 /\ 1 <= I62 - 1 /\ 0 <= I57 - 1 /\ I59 <= I60 - 1 /\ 0 <= I60 - 1]
  f6(I64, I65, I66, I67, I68, I69) -> f6(I64, I65, I66 + 1, I67, I68, I69) [I65 - 1 <= I65 - 1 /\ -1 <= I65 - 1 /\ I65 - 1 <= I64 - 1 /\ I65 <= I64 - 1 /\ 1 <= I69 - 1 /\ 0 <= I64 - 1 /\ I66 <= I67 - 1 /\ 0 <= I67 - 1]
  f6(I70, I71, I72, I73, I74, I75) -> f2(I71 - 1, I74, I75, I76, I77, I78) [I71 - 1 <= I71 - 1 /\ -1 <= I71 - 1 /\ I71 - 1 <= I70 - 1 /\ I71 <= I70 - 1 /\ 1 <= I75 - 1 /\ 0 <= I70 - 1 /\ I72 <= I73 - 1 /\ 0 <= I73 - 1]
  f2(I79, I80, I81, I82, I83, I84) -> f6(I79, I79 - 1, 0, I85, I80, I81 + 1) [-1 <= I85 - 1 /\ I81 <= I80 - 1 /\ 0 <= I81 - 1 /\ 0 <= I79 - 1 /\ -1 <= I80 - 1]
  f4(I86, I87, I88, I89, I90, I91) -> f3(I92, I93, I94, I95, I96, I97) [0 <= y1 - 1 /\ 1 <= I88 - 1 /\ I92 <= I87 /\ 0 <= I86 - 1 /\ 0 <= I87 - 1 /\ 0 <= I92 - 1]
  f5(I98, I99, I100, I101, I102, I103) -> f4(I104, I105, I99, I106, I107, I108) [1 <= I105 - 1 /\ 0 <= I104 - 1 /\ 0 <= I98 - 1 /\ I105 - 1 <= I98 /\ I104 <= I98]
  f1(I109, I110, I111, I112, I113, I114) -> f4(I115, I116, I117, I118, I119, I120) [-1 <= I121 - 1 /\ 0 <= I110 - 1 /\ I115 <= I109 /\ 0 <= I109 - 1 /\ 0 <= I115 - 1 /\ 0 <= I116 - 1]
  f1(I122, I123, I124, I125, I126, I127) -> f3(I128, I129, I130, I131, I132, I133) [-1 <= I128 - 1 /\ 0 <= I122 - 1 /\ 0 <= I123 - 1 /\ I128 + 1 <= I122]
  f1(I134, I135, I136, I137, I138, I139) -> f2(I140, I135, 1, I141, I142, I143) [0 <= I134 - 1 /\ 0 <= I135 - 1 /\ -1 <= I140 - 1]

The dependency graph for this problem is:
  0 -> 12, 13, 14
  1 -> 2, 3, 4
  2 -> 1
  3 -> 1
  4 -> 5
  5 -> 2, 3, 4
  6 -> 6, 7, 8
  7 -> 6, 7, 8
  8 -> 9
  9 -> 6, 7, 8
  10 -> 5
  11 -> 10
  12 -> 10
  13 -> 5
  14 -> 9
Where:
  0) init#(x1, x2, x3, x4, x5, x6) -> f1#(rnd1, rnd2, rnd3, rnd4, rnd5, rnd6) 
  1) f8#(I0, I1, I2, I3, I4, I5) -> f7#(I6, I2, I7, I8, I9, I10) [-1 <= I6 - 1 /\ -1 <= I3 - 1 /\ -1 <= I1 - 1 /\ 4 <= I0 - 1 /\ I6 <= I3 /\ I6 <= I1 /\ I6 + 4 <= I0]
  2) f7#(I11, I12, I13, I14, I15, I16) -> f8#(I17, I18, I12, I19, I20, I21) [-1 <= I19 - 1 /\ -1 <= I18 - 1 /\ 10 <= I17 - 1 /\ 0 <= I11 - 1 /\ I19 + 1 <= I11 /\ I18 + 1 <= I11]
  3) f7#(I22, I23, I24, I25, I26, I27) -> f8#(I28, I29, I23, I30, I31, I32) [-1 <= I30 - 1 /\ -1 <= I29 - 1 /\ 5 <= I28 - 1 /\ 3 <= I22 - 1 /\ I30 + 2 <= I22 /\ I29 + 2 <= I22 /\ I28 - 2 <= I22]
  4) f7#(I33, I34, I35, I36, I37, I38) -> f3#(I39, I40, I41, I42, I43, I44) [-1 <= I39 - 1 /\ 0 <= I33 - 1 /\ I39 + 1 <= I33]
  5) f3#(I45, I46, I47, I48, I49, I50) -> f7#(I51, I52, I53, I54, I55, I56) [-1 <= I51 - 1 /\ 0 <= I45 - 1 /\ I51 + 1 <= I45]
  6) f6#(I57, I58, I59, I60, I61, I62) -> f6#(I57, I58, I59 + 1, I60, I61, I63) [I58 - 1 <= I58 - 1 /\ -1 <= I58 - 1 /\ I58 - 1 <= I57 - 1 /\ I58 <= I57 - 1 /\ 1 <= I62 - 1 /\ 0 <= I57 - 1 /\ I59 <= I60 - 1 /\ 0 <= I60 - 1]
  7) f6#(I64, I65, I66, I67, I68, I69) -> f6#(I64, I65, I66 + 1, I67, I68, I69) [I65 - 1 <= I65 - 1 /\ -1 <= I65 - 1 /\ I65 - 1 <= I64 - 1 /\ I65 <= I64 - 1 /\ 1 <= I69 - 1 /\ 0 <= I64 - 1 /\ I66 <= I67 - 1 /\ 0 <= I67 - 1]
  8) f6#(I70, I71, I72, I73, I74, I75) -> f2#(I71 - 1, I74, I75, I76, I77, I78) [I71 - 1 <= I71 - 1 /\ -1 <= I71 - 1 /\ I71 - 1 <= I70 - 1 /\ I71 <= I70 - 1 /\ 1 <= I75 - 1 /\ 0 <= I70 - 1 /\ I72 <= I73 - 1 /\ 0 <= I73 - 1]
  9) f2#(I79, I80, I81, I82, I83, I84) -> f6#(I79, I79 - 1, 0, I85, I80, I81 + 1) [-1 <= I85 - 1 /\ I81 <= I80 - 1 /\ 0 <= I81 - 1 /\ 0 <= I79 - 1 /\ -1 <= I80 - 1]
  10) f4#(I86, I87, I88, I89, I90, I91) -> f3#(I92, I93, I94, I95, I96, I97) [0 <= y1 - 1 /\ 1 <= I88 - 1 /\ I92 <= I87 /\ 0 <= I86 - 1 /\ 0 <= I87 - 1 /\ 0 <= I92 - 1]
  11) f5#(I98, I99, I100, I101, I102, I103) -> f4#(I104, I105, I99, I106, I107, I108) [1 <= I105 - 1 /\ 0 <= I104 - 1 /\ 0 <= I98 - 1 /\ I105 - 1 <= I98 /\ I104 <= I98]
  12) f1#(I109, I110, I111, I112, I113, I114) -> f4#(I115, I116, I117, I118, I119, I120) [-1 <= I121 - 1 /\ 0 <= I110 - 1 /\ I115 <= I109 /\ 0 <= I109 - 1 /\ 0 <= I115 - 1 /\ 0 <= I116 - 1]
  13) f1#(I122, I123, I124, I125, I126, I127) -> f3#(I128, I129, I130, I131, I132, I133) [-1 <= I128 - 1 /\ 0 <= I122 - 1 /\ 0 <= I123 - 1 /\ I128 + 1 <= I122]
  14) f1#(I134, I135, I136, I137, I138, I139) -> f2#(I140, I135, 1, I141, I142, I143) [0 <= I134 - 1 /\ 0 <= I135 - 1 /\ -1 <= I140 - 1]

We have the following SCCs.
  { 1, 2, 3, 4, 5 }
  { 6, 7, 8, 9 }

DP problem for innermost termination.
P =
  f6#(I57, I58, I59, I60, I61, I62) -> f6#(I57, I58, I59 + 1, I60, I61, I63) [I58 - 1 <= I58 - 1 /\ -1 <= I58 - 1 /\ I58 - 1 <= I57 - 1 /\ I58 <= I57 - 1 /\ 1 <= I62 - 1 /\ 0 <= I57 - 1 /\ I59 <= I60 - 1 /\ 0 <= I60 - 1]
  f6#(I64, I65, I66, I67, I68, I69) -> f6#(I64, I65, I66 + 1, I67, I68, I69) [I65 - 1 <= I65 - 1 /\ -1 <= I65 - 1 /\ I65 - 1 <= I64 - 1 /\ I65 <= I64 - 1 /\ 1 <= I69 - 1 /\ 0 <= I64 - 1 /\ I66 <= I67 - 1 /\ 0 <= I67 - 1]
  f6#(I70, I71, I72, I73, I74, I75) -> f2#(I71 - 1, I74, I75, I76, I77, I78) [I71 - 1 <= I71 - 1 /\ -1 <= I71 - 1 /\ I71 - 1 <= I70 - 1 /\ I71 <= I70 - 1 /\ 1 <= I75 - 1 /\ 0 <= I70 - 1 /\ I72 <= I73 - 1 /\ 0 <= I73 - 1]
  f2#(I79, I80, I81, I82, I83, I84) -> f6#(I79, I79 - 1, 0, I85, I80, I81 + 1) [-1 <= I85 - 1 /\ I81 <= I80 - 1 /\ 0 <= I81 - 1 /\ 0 <= I79 - 1 /\ -1 <= I80 - 1]
R = 
  init(x1, x2, x3, x4, x5, x6) -> f1(rnd1, rnd2, rnd3, rnd4, rnd5, rnd6) 
  f8(I0, I1, I2, I3, I4, I5) -> f7(I6, I2, I7, I8, I9, I10) [-1 <= I6 - 1 /\ -1 <= I3 - 1 /\ -1 <= I1 - 1 /\ 4 <= I0 - 1 /\ I6 <= I3 /\ I6 <= I1 /\ I6 + 4 <= I0]
  f7(I11, I12, I13, I14, I15, I16) -> f8(I17, I18, I12, I19, I20, I21) [-1 <= I19 - 1 /\ -1 <= I18 - 1 /\ 10 <= I17 - 1 /\ 0 <= I11 - 1 /\ I19 + 1 <= I11 /\ I18 + 1 <= I11]
  f7(I22, I23, I24, I25, I26, I27) -> f8(I28, I29, I23, I30, I31, I32) [-1 <= I30 - 1 /\ -1 <= I29 - 1 /\ 5 <= I28 - 1 /\ 3 <= I22 - 1 /\ I30 + 2 <= I22 /\ I29 + 2 <= I22 /\ I28 - 2 <= I22]
  f7(I33, I34, I35, I36, I37, I38) -> f3(I39, I40, I41, I42, I43, I44) [-1 <= I39 - 1 /\ 0 <= I33 - 1 /\ I39 + 1 <= I33]
  f3(I45, I46, I47, I48, I49, I50) -> f7(I51, I52, I53, I54, I55, I56) [-1 <= I51 - 1 /\ 0 <= I45 - 1 /\ I51 + 1 <= I45]
  f6(I57, I58, I59, I60, I61, I62) -> f6(I57, I58, I59 + 1, I60, I61, I63) [I58 - 1 <= I58 - 1 /\ -1 <= I58 - 1 /\ I58 - 1 <= I57 - 1 /\ I58 <= I57 - 1 /\ 1 <= I62 - 1 /\ 0 <= I57 - 1 /\ I59 <= I60 - 1 /\ 0 <= I60 - 1]
  f6(I64, I65, I66, I67, I68, I69) -> f6(I64, I65, I66 + 1, I67, I68, I69) [I65 - 1 <= I65 - 1 /\ -1 <= I65 - 1 /\ I65 - 1 <= I64 - 1 /\ I65 <= I64 - 1 /\ 1 <= I69 - 1 /\ 0 <= I64 - 1 /\ I66 <= I67 - 1 /\ 0 <= I67 - 1]
  f6(I70, I71, I72, I73, I74, I75) -> f2(I71 - 1, I74, I75, I76, I77, I78) [I71 - 1 <= I71 - 1 /\ -1 <= I71 - 1 /\ I71 - 1 <= I70 - 1 /\ I71 <= I70 - 1 /\ 1 <= I75 - 1 /\ 0 <= I70 - 1 /\ I72 <= I73 - 1 /\ 0 <= I73 - 1]
  f2(I79, I80, I81, I82, I83, I84) -> f6(I79, I79 - 1, 0, I85, I80, I81 + 1) [-1 <= I85 - 1 /\ I81 <= I80 - 1 /\ 0 <= I81 - 1 /\ 0 <= I79 - 1 /\ -1 <= I80 - 1]
  f4(I86, I87, I88, I89, I90, I91) -> f3(I92, I93, I94, I95, I96, I97) [0 <= y1 - 1 /\ 1 <= I88 - 1 /\ I92 <= I87 /\ 0 <= I86 - 1 /\ 0 <= I87 - 1 /\ 0 <= I92 - 1]
  f5(I98, I99, I100, I101, I102, I103) -> f4(I104, I105, I99, I106, I107, I108) [1 <= I105 - 1 /\ 0 <= I104 - 1 /\ 0 <= I98 - 1 /\ I105 - 1 <= I98 /\ I104 <= I98]
  f1(I109, I110, I111, I112, I113, I114) -> f4(I115, I116, I117, I118, I119, I120) [-1 <= I121 - 1 /\ 0 <= I110 - 1 /\ I115 <= I109 /\ 0 <= I109 - 1 /\ 0 <= I115 - 1 /\ 0 <= I116 - 1]
  f1(I122, I123, I124, I125, I126, I127) -> f3(I128, I129, I130, I131, I132, I133) [-1 <= I128 - 1 /\ 0 <= I122 - 1 /\ 0 <= I123 - 1 /\ I128 + 1 <= I122]
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