ITS pair #487100185

details
property	value
status	complete
benchmark	MirrorMultiTreeRec.jar-obl-9.smt2
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n151.star.cs.uiowa.edu
space	From_AProVE_2014
run statistics
property	value
solver	Ctrl
configuration	Transition
runtime (wallclock)	12.3426 seconds
cpu usage	12.538
user time	6.81403
system time	5.72401
max virtual memory	583556.0
max residence set size	8780.0
stage attributes
key	value
starexec-result	YES
output
YES

DP problem for innermost termination.
P =
  init#(x1, x2, x3, x4, x5, x6) -> f1#(rnd1, rnd2, rnd3, rnd4, rnd5, rnd6) 
  f7#(I36, I37, I38, I39, I40, I41) -> f5#(I42, I40, I43, I44, I45, I46) [-1 <= I42 - 1 /\ 0 <= I38 - 1 /\ 0 <= I37 - 1 /\ 2 <= I36 - 1 /\ I42 + 1 <= I38 /\ 1 <= I40 - 1 /\ I42 + 3 <= I36]
  f5#(I47, I48, I49, I50, I51, I52) -> f7#(I53, I54, I55, I56, I48, I57) [-1 <= I55 - 1 /\ 5 <= I54 - 1 /\ 1 <= I53 - 1 /\ 2 <= I47 - 1 /\ I55 + 2 <= I47 /\ 1 <= I48 - 1 /\ I53 <= I47]
  f5#(I58, I59, I60, I61, I62, I63) -> f7#(I64, I65, I66, I67, I59, I68) [-1 <= I66 - 1 /\ 2 <= I65 - 1 /\ 1 <= I64 - 1 /\ 2 <= I58 - 1 /\ I66 + 2 <= I58 /\ 1 <= I59 - 1 /\ I64 <= I58]
  f5#(I69, I70, I71, I72, I73, I74) -> f5#(I75, I70, I76, I77, I78, I79) [-1 <= I75 - 1 /\ 3 <= I69 - 1 /\ 1 <= I70 - 1 /\ I75 + 4 <= I69]
  f5#(I80, I81, I82, I83, I84, I85) -> f5#(I86, I81, I87, I88, I89, I90) [0 <= I86 - 1 /\ 2 <= I80 - 1 /\ 1 <= I81 - 1 /\ I86 + 2 <= I80]
  f6#(I91, I92, I93, I94, I95, I96) -> f6#(I91, I92, I93 + 1, I94, I95, I97) [I92 - 1 <= I92 - 1 /\ -1 <= I92 - 1 /\ I92 - 1 <= I91 - 1 /\ I92 <= I91 - 1 /\ 1 <= I96 - 1 /\ 0 <= I91 - 1 /\ I93 <= I94 - 1 /\ 0 <= I94 - 1]
  f6#(I98, I99, I100, I101, I102, I103) -> f6#(I98, I99, I100 + 1, I101, I102, I103) [I99 - 1 <= I99 - 1 /\ -1 <= I99 - 1 /\ I99 - 1 <= I98 - 1 /\ I99 <= I98 - 1 /\ 1 <= I103 - 1 /\ 0 <= I98 - 1 /\ I100 <= I101 - 1 /\ 0 <= I101 - 1]
  f6#(I104, I105, I106, I107, I108, I109) -> f2#(I105 - 1, I108, I109, I110, I111, I112) [I105 - 1 <= I105 - 1 /\ -1 <= I105 - 1 /\ I105 - 1 <= I104 - 1 /\ I105 <= I104 - 1 /\ 1 <= I109 - 1 /\ 0 <= I104 - 1 /\ I106 <= I107 - 1 /\ 0 <= I107 - 1]
  f2#(I113, I114, I115, I116, I117, I118) -> f6#(I113, I113 - 1, 0, I119, I114, I115 + 1) [-1 <= I119 - 1 /\ I115 <= I114 - 1 /\ 0 <= I115 - 1 /\ 0 <= I113 - 1 /\ -1 <= I114 - 1]
  f3#(I120, I121, I122, I123, I124, I125) -> f5#(I126, I122, I127, I128, I129, I130) [0 <= y1 - 1 /\ 1 <= I122 - 1 /\ I126 <= I121 /\ 0 <= I120 - 1 /\ -1 <= I121 - 1 /\ -1 <= I126 - 1]
  f4#(I131, I132, I133, I134, I135, I136) -> f3#(I137, I138, I132, I139, I140, I141) [-1 <= I138 - 1 /\ 0 <= I137 - 1 /\ 0 <= I131 - 1 /\ I138 + 1 <= I131 /\ I137 <= I131]
  f1#(I142, I143, I144, I145, I146, I147) -> f3#(I148, I149, I150, I151, I152, I153) [-1 <= I154 - 1 /\ 0 <= I143 - 1 /\ I148 <= I142 /\ 0 <= I142 - 1 /\ 0 <= I148 - 1 /\ -1 <= I149 - 1]
  f1#(I155, I156, I157, I158, I159, I160) -> f2#(I161, I156, 1, I162, I163, I164) [0 <= I155 - 1 /\ 0 <= I156 - 1 /\ -1 <= I161 - 1]
R = 
  init(x1, x2, x3, x4, x5, x6) -> f1(rnd1, rnd2, rnd3, rnd4, rnd5, rnd6) 
  f7(I0, I1, I2, I3, I4, I5) -> f8(I6, I7, I8, I9, I10, I11) [5 <= I7 - 1 /\ 0 <= I6 - 1 /\ 0 <= I2 - 1 /\ 0 <= I1 - 1 /\ 2 <= I0 - 1 /\ 1 <= I4 - 1 /\ I6 <= I1]
  f7(I12, I13, I14, I15, I16, I17) -> f8(I18, I19, I20, I21, I22, I23) [5 <= I19 - 1 /\ 0 <= I18 - 1 /\ 3 <= I14 - 1 /\ 0 <= I13 - 1 /\ 5 <= I12 - 1 /\ I19 - 2 <= I14 /\ I19 <= I12 /\ 1 <= I16 - 1 /\ I18 <= I13]
  f7(I24, I25, I26, I27, I28, I29) -> f8(I30, I31, I32, I33, I34, I35) [3 <= I31 - 1 /\ 0 <= I30 - 1 /\ 1 <= I26 - 1 /\ 0 <= I25 - 1 /\ 3 <= I24 - 1 /\ I31 - 2 <= I26 /\ I31 - 3 <= I25 /\ I31 <= I24 /\ 1 <= I28 - 1 /\ I30 <= I25]
  f7(I36, I37, I38, I39, I40, I41) -> f5(I42, I40, I43, I44, I45, I46) [-1 <= I42 - 1 /\ 0 <= I38 - 1 /\ 0 <= I37 - 1 /\ 2 <= I36 - 1 /\ I42 + 1 <= I38 /\ 1 <= I40 - 1 /\ I42 + 3 <= I36]
  f5(I47, I48, I49, I50, I51, I52) -> f7(I53, I54, I55, I56, I48, I57) [-1 <= I55 - 1 /\ 5 <= I54 - 1 /\ 1 <= I53 - 1 /\ 2 <= I47 - 1 /\ I55 + 2 <= I47 /\ 1 <= I48 - 1 /\ I53 <= I47]
  f5(I58, I59, I60, I61, I62, I63) -> f7(I64, I65, I66, I67, I59, I68) [-1 <= I66 - 1 /\ 2 <= I65 - 1 /\ 1 <= I64 - 1 /\ 2 <= I58 - 1 /\ I66 + 2 <= I58 /\ 1 <= I59 - 1 /\ I64 <= I58]
  f5(I69, I70, I71, I72, I73, I74) -> f5(I75, I70, I76, I77, I78, I79) [-1 <= I75 - 1 /\ 3 <= I69 - 1 /\ 1 <= I70 - 1 /\ I75 + 4 <= I69]
  f5(I80, I81, I82, I83, I84, I85) -> f5(I86, I81, I87, I88, I89, I90) [0 <= I86 - 1 /\ 2 <= I80 - 1 /\ 1 <= I81 - 1 /\ I86 + 2 <= I80]
  f6(I91, I92, I93, I94, I95, I96) -> f6(I91, I92, I93 + 1, I94, I95, I97) [I92 - 1 <= I92 - 1 /\ -1 <= I92 - 1 /\ I92 - 1 <= I91 - 1 /\ I92 <= I91 - 1 /\ 1 <= I96 - 1 /\ 0 <= I91 - 1 /\ I93 <= I94 - 1 /\ 0 <= I94 - 1]
  f6(I98, I99, I100, I101, I102, I103) -> f6(I98, I99, I100 + 1, I101, I102, I103) [I99 - 1 <= I99 - 1 /\ -1 <= I99 - 1 /\ I99 - 1 <= I98 - 1 /\ I99 <= I98 - 1 /\ 1 <= I103 - 1 /\ 0 <= I98 - 1 /\ I100 <= I101 - 1 /\ 0 <= I101 - 1]
  f6(I104, I105, I106, I107, I108, I109) -> f2(I105 - 1, I108, I109, I110, I111, I112) [I105 - 1 <= I105 - 1 /\ -1 <= I105 - 1 /\ I105 - 1 <= I104 - 1 /\ I105 <= I104 - 1 /\ 1 <= I109 - 1 /\ 0 <= I104 - 1 /\ I106 <= I107 - 1 /\ 0 <= I107 - 1]
  f2(I113, I114, I115, I116, I117, I118) -> f6(I113, I113 - 1, 0, I119, I114, I115 + 1) [-1 <= I119 - 1 /\ I115 <= I114 - 1 /\ 0 <= I115 - 1 /\ 0 <= I113 - 1 /\ -1 <= I114 - 1]
  f3(I120, I121, I122, I123, I124, I125) -> f5(I126, I122, I127, I128, I129, I130) [0 <= y1 - 1 /\ 1 <= I122 - 1 /\ I126 <= I121 /\ 0 <= I120 - 1 /\ -1 <= I121 - 1 /\ -1 <= I126 - 1]
  f4(I131, I132, I133, I134, I135, I136) -> f3(I137, I138, I132, I139, I140, I141) [-1 <= I138 - 1 /\ 0 <= I137 - 1 /\ 0 <= I131 - 1 /\ I138 + 1 <= I131 /\ I137 <= I131]
  f1(I142, I143, I144, I145, I146, I147) -> f3(I148, I149, I150, I151, I152, I153) [-1 <= I154 - 1 /\ 0 <= I143 - 1 /\ I148 <= I142 /\ 0 <= I142 - 1 /\ 0 <= I148 - 1 /\ -1 <= I149 - 1]
  f1(I155, I156, I157, I158, I159, I160) -> f2(I161, I156, 1, I162, I163, I164) [0 <= I155 - 1 /\ 0 <= I156 - 1 /\ -1 <= I161 - 1]

The dependency graph for this problem is:
  0 -> 12, 13
  1 -> 2, 3, 4, 5
  2 -> 1
  3 -> 1
  4 -> 2, 3, 4, 5
  5 -> 2, 3, 4, 5
  6 -> 6, 7, 8
  7 -> 6, 7, 8
  8 -> 9
  9 -> 6, 7, 8
  10 -> 2, 3, 4, 5
  11 -> 10
  12 -> 10
  13 -> 9
Where:
  0) init#(x1, x2, x3, x4, x5, x6) -> f1#(rnd1, rnd2, rnd3, rnd4, rnd5, rnd6) 
  1) f7#(I36, I37, I38, I39, I40, I41) -> f5#(I42, I40, I43, I44, I45, I46) [-1 <= I42 - 1 /\ 0 <= I38 - 1 /\ 0 <= I37 - 1 /\ 2 <= I36 - 1 /\ I42 + 1 <= I38 /\ 1 <= I40 - 1 /\ I42 + 3 <= I36]
  2) f5#(I47, I48, I49, I50, I51, I52) -> f7#(I53, I54, I55, I56, I48, I57) [-1 <= I55 - 1 /\ 5 <= I54 - 1 /\ 1 <= I53 - 1 /\ 2 <= I47 - 1 /\ I55 + 2 <= I47 /\ 1 <= I48 - 1 /\ I53 <= I47]
  3) f5#(I58, I59, I60, I61, I62, I63) -> f7#(I64, I65, I66, I67, I59, I68) [-1 <= I66 - 1 /\ 2 <= I65 - 1 /\ 1 <= I64 - 1 /\ 2 <= I58 - 1 /\ I66 + 2 <= I58 /\ 1 <= I59 - 1 /\ I64 <= I58]
  4) f5#(I69, I70, I71, I72, I73, I74) -> f5#(I75, I70, I76, I77, I78, I79) [-1 <= I75 - 1 /\ 3 <= I69 - 1 /\ 1 <= I70 - 1 /\ I75 + 4 <= I69]
  5) f5#(I80, I81, I82, I83, I84, I85) -> f5#(I86, I81, I87, I88, I89, I90) [0 <= I86 - 1 /\ 2 <= I80 - 1 /\ 1 <= I81 - 1 /\ I86 + 2 <= I80]
  6) f6#(I91, I92, I93, I94, I95, I96) -> f6#(I91, I92, I93 + 1, I94, I95, I97) [I92 - 1 <= I92 - 1 /\ -1 <= I92 - 1 /\ I92 - 1 <= I91 - 1 /\ I92 <= I91 - 1 /\ 1 <= I96 - 1 /\ 0 <= I91 - 1 /\ I93 <= I94 - 1 /\ 0 <= I94 - 1]
  7) f6#(I98, I99, I100, I101, I102, I103) -> f6#(I98, I99, I100 + 1, I101, I102, I103) [I99 - 1 <= I99 - 1 /\ -1 <= I99 - 1 /\ I99 - 1 <= I98 - 1 /\ I99 <= I98 - 1 /\ 1 <= I103 - 1 /\ 0 <= I98 - 1 /\ I100 <= I101 - 1 /\ 0 <= I101 - 1]
  8) f6#(I104, I105, I106, I107, I108, I109) -> f2#(I105 - 1, I108, I109, I110, I111, I112) [I105 - 1 <= I105 - 1 /\ -1 <= I105 - 1 /\ I105 - 1 <= I104 - 1 /\ I105 <= I104 - 1 /\ 1 <= I109 - 1 /\ 0 <= I104 - 1 /\ I106 <= I107 - 1 /\ 0 <= I107 - 1]
  9) f2#(I113, I114, I115, I116, I117, I118) -> f6#(I113, I113 - 1, 0, I119, I114, I115 + 1) [-1 <= I119 - 1 /\ I115 <= I114 - 1 /\ 0 <= I115 - 1 /\ 0 <= I113 - 1 /\ -1 <= I114 - 1]
  10) f3#(I120, I121, I122, I123, I124, I125) -> f5#(I126, I122, I127, I128, I129, I130) [0 <= y1 - 1 /\ 1 <= I122 - 1 /\ I126 <= I121 /\ 0 <= I120 - 1 /\ -1 <= I121 - 1 /\ -1 <= I126 - 1]
  11) f4#(I131, I132, I133, I134, I135, I136) -> f3#(I137, I138, I132, I139, I140, I141) [-1 <= I138 - 1 /\ 0 <= I137 - 1 /\ 0 <= I131 - 1 /\ I138 + 1 <= I131 /\ I137 <= I131]
  12) f1#(I142, I143, I144, I145, I146, I147) -> f3#(I148, I149, I150, I151, I152, I153) [-1 <= I154 - 1 /\ 0 <= I143 - 1 /\ I148 <= I142 /\ 0 <= I142 - 1 /\ 0 <= I148 - 1 /\ -1 <= I149 - 1]
  13) f1#(I155, I156, I157, I158, I159, I160) -> f2#(I161, I156, 1, I162, I163, I164) [0 <= I155 - 1 /\ 0 <= I156 - 1 /\ -1 <= I161 - 1]

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

DP problem for innermost termination.
P =
  f6#(I91, I92, I93, I94, I95, I96) -> f6#(I91, I92, I93 + 1, I94, I95, I97) [I92 - 1 <= I92 - 1 /\ -1 <= I92 - 1 /\ I92 - 1 <= I91 - 1 /\ I92 <= I91 - 1 /\ 1 <= I96 - 1 /\ 0 <= I91 - 1 /\ I93 <= I94 - 1 /\ 0 <= I94 - 1]
  f6#(I98, I99, I100, I101, I102, I103) -> f6#(I98, I99, I100 + 1, I101, I102, I103) [I99 - 1 <= I99 - 1 /\ -1 <= I99 - 1 /\ I99 - 1 <= I98 - 1 /\ I99 <= I98 - 1 /\ 1 <= I103 - 1 /\ 0 <= I98 - 1 /\ I100 <= I101 - 1 /\ 0 <= I101 - 1]
  f6#(I104, I105, I106, I107, I108, I109) -> f2#(I105 - 1, I108, I109, I110, I111, I112) [I105 - 1 <= I105 - 1 /\ -1 <= I105 - 1 /\ I105 - 1 <= I104 - 1 /\ I105 <= I104 - 1 /\ 1 <= I109 - 1 /\ 0 <= I104 - 1 /\ I106 <= I107 - 1 /\ 0 <= I107 - 1]
  f2#(I113, I114, I115, I116, I117, I118) -> f6#(I113, I113 - 1, 0, I119, I114, I115 + 1) [-1 <= I119 - 1 /\ I115 <= I114 - 1 /\ 0 <= I115 - 1 /\ 0 <= I113 - 1 /\ -1 <= I114 - 1]
R = 
  init(x1, x2, x3, x4, x5, x6) -> f1(rnd1, rnd2, rnd3, rnd4, rnd5, rnd6) 
  f7(I0, I1, I2, I3, I4, I5) -> f8(I6, I7, I8, I9, I10, I11) [5 <= I7 - 1 /\ 0 <= I6 - 1 /\ 0 <= I2 - 1 /\ 0 <= I1 - 1 /\ 2 <= I0 - 1 /\ 1 <= I4 - 1 /\ I6 <= I1]
  f7(I12, I13, I14, I15, I16, I17) -> f8(I18, I19, I20, I21, I22, I23) [5 <= I19 - 1 /\ 0 <= I18 - 1 /\ 3 <= I14 - 1 /\ 0 <= I13 - 1 /\ 5 <= I12 - 1 /\ I19 - 2 <= I14 /\ I19 <= I12 /\ 1 <= I16 - 1 /\ I18 <= I13]
  f7(I24, I25, I26, I27, I28, I29) -> f8(I30, I31, I32, I33, I34, I35) [3 <= I31 - 1 /\ 0 <= I30 - 1 /\ 1 <= I26 - 1 /\ 0 <= I25 - 1 /\ 3 <= I24 - 1 /\ I31 - 2 <= I26 /\ I31 - 3 <= I25 /\ I31 <= I24 /\ 1 <= I28 - 1 /\ I30 <= I25]
  f7(I36, I37, I38, I39, I40, I41) -> f5(I42, I40, I43, I44, I45, I46) [-1 <= I42 - 1 /\ 0 <= I38 - 1 /\ 0 <= I37 - 1 /\ 2 <= I36 - 1 /\ I42 + 1 <= I38 /\ 1 <= I40 - 1 /\ I42 + 3 <= I36]
  f5(I47, I48, I49, I50, I51, I52) -> f7(I53, I54, I55, I56, I48, I57) [-1 <= I55 - 1 /\ 5 <= I54 - 1 /\ 1 <= I53 - 1 /\ 2 <= I47 - 1 /\ I55 + 2 <= I47 /\ 1 <= I48 - 1 /\ I53 <= I47]
  f5(I58, I59, I60, I61, I62, I63) -> f7(I64, I65, I66, I67, I59, I68) [-1 <= I66 - 1 /\ 2 <= I65 - 1 /\ 1 <= I64 - 1 /\ 2 <= I58 - 1 /\ I66 + 2 <= I58 /\ 1 <= I59 - 1 /\ I64 <= I58]
  f5(I69, I70, I71, I72, I73, I74) -> f5(I75, I70, I76, I77, I78, I79) [-1 <= I75 - 1 /\ 3 <= I69 - 1 /\ 1 <= I70 - 1 /\ I75 + 4 <= I69]
  f5(I80, I81, I82, I83, I84, I85) -> f5(I86, I81, I87, I88, I89, I90) [0 <= I86 - 1 /\ 2 <= I80 - 1 /\ 1 <= I81 - 1 /\ I86 + 2 <= I80]
  f6(I91, I92, I93, I94, I95, I96) -> f6(I91, I92, I93 + 1, I94, I95, I97) [I92 - 1 <= I92 - 1 /\ -1 <= I92 - 1 /\ I92 - 1 <= I91 - 1 /\ I92 <= I91 - 1 /\ 1 <= I96 - 1 /\ 0 <= I91 - 1 /\ I93 <= I94 - 1 /\ 0 <= I94 - 1]
  f6(I98, I99, I100, I101, I102, I103) -> f6(I98, I99, I100 + 1, I101, I102, I103) [I99 - 1 <= I99 - 1 /\ -1 <= I99 - 1 /\ I99 - 1 <= I98 - 1 /\ I99 <= I98 - 1 /\ 1 <= I103 - 1 /\ 0 <= I98 - 1 /\ I100 <= I101 - 1 /\ 0 <= I101 - 1]
  f6(I104, I105, I106, I107, I108, I109) -> f2(I105 - 1, I108, I109, I110, I111, I112) [I105 - 1 <= I105 - 1 /\ -1 <= I105 - 1 /\ I105 - 1 <= I104 - 1 /\ I105 <= I104 - 1 /\ 1 <= I109 - 1 /\ 0 <= I104 - 1 /\ I106 <= I107 - 1 /\ 0 <= I107 - 1]
  f2(I113, I114, I115, I116, I117, I118) -> f6(I113, I113 - 1, 0, I119, I114, I115 + 1) [-1 <= I119 - 1 /\ I115 <= I114 - 1 /\ 0 <= I115 - 1 /\ 0 <= I113 - 1 /\ -1 <= I114 - 1]
  f3(I120, I121, I122, I123, I124, I125) -> f5(I126, I122, I127, I128, I129, I130) [0 <= y1 - 1 /\ 1 <= I122 - 1 /\ I126 <= I121 /\ 0 <= I120 - 1 /\ -1 <= I121 - 1 /\ -1 <= I126 - 1]
  f4(I131, I132, I133, I134, I135, I136) -> f3(I137, I138, I132, I139, I140, I141) [-1 <= I138 - 1 /\ 0 <= I137 - 1 /\ 0 <= I131 - 1 /\ I138 + 1 <= I131 /\ I137 <= I131]
  f1(I142, I143, I144, I145, I146, I147) -> f3(I148, I149, I150, I151, I152, I153) [-1 <= I154 - 1 /\ 0 <= I143 - 1 /\ I148 <= I142 /\ 0 <= I142 - 1 /\ 0 <= I148 - 1 /\ -1 <= I149 - 1]
  f1(I155, I156, I157, I158, I159, I160) -> f2(I161, I156, 1, I162, I163, I164) [0 <= I155 - 1 /\ 0 <= I156 - 1 /\ -1 <= I161 - 1]

We use the basic value criterion with the projection function NU:
  NU[f2#(z1,z2,z3,z4,z5,z6)] = z1
  NU[f6#(z1,z2,z3,z4,z5,z6)] = z2
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