ITS pair #487099351

details
property	value
status	complete
benchmark	List.jar-obl-12.smt2
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n139.star.cs.uiowa.edu
space	From_AProVE_2014
run statistics
property	value
solver	Ctrl
configuration	Transition
runtime (wallclock)	1.39183 seconds
cpu usage	1.41183
user time	0.782195
system time	0.629637
max virtual memory	123920.0
max residence set size	8568.0
stage attributes
key	value
starexec-result	MAYBE
output
MAYBE

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

The dependency graph for this problem is:
  0 -> 7, 9, 11, 13, 15
  1 -> 12
  2 -> 1
  3 -> 1
  4 -> 1
  5 -> 12
  6 -> 3, 4, 5, 6
  7 -> 3, 4, 5, 6
  8 -> 8
  9 -> 8
  10 -> 10
  11 -> 10
  12 -> 12
  13 -> 12
  14 -> 14
  15 -> 14
Where:
  0) init#(x1, x2, x3, x4) -> f1#(rnd1, rnd2, rnd3, rnd4) 
  1) f7#(I0, I1, I2, I3) -> f3#(I4, I5, I6, I7) [-1 <= I6 - 1 /\ 1 <= I5 - 1 /\ 2 <= I4 - 1 /\ 2 <= I0 - 1 /\ I5 + 1 <= I0 /\ I4 <= I0]
  2) f8#(I8, I9, I10, I11) -> f7#(I12, I13, I14, I15) [I9 + 4 <= I8 /\ 2 <= I12 - 1 /\ 2 <= I8 - 1 /\ I12 <= I8]
  3) f6#(I16, I17, I18, I19) -> f7#(I20, I21, I22, I23) [2 <= I20 - 1 /\ 0 <= I17 - 1 /\ 2 <= I16 - 1]
  4) f6#(I24, I25, I26, I27) -> f7#(I28, I29, I30, I31) [4 <= I28 - 1 /\ 0 <= I25 - 1 /\ 2 <= I24 - 1]
  5) f6#(I32, I33, I34, I35) -> f3#(I36, I37, I38, I39) [-1 <= I38 - 1 /\ 1 <= I37 - 1 /\ 1 <= I36 - 1 /\ 0 <= I33 - 1 /\ 2 <= I32 - 1 /\ I37 - 1 <= I33 /\ I37 + 1 <= I32 /\ I36 - 1 <= I33 /\ I36 + 1 <= I32]
  6) f6#(I40, I41, I42, I43) -> f6#(I44, I45, I46, I47) [-1 <= I45 - 1 /\ 0 <= I44 - 1 /\ 0 <= I41 - 1 /\ 2 <= I40 - 1 /\ I45 + 1 <= I41 /\ I45 + 3 <= I40 /\ I44 <= I41 /\ I44 + 2 <= I40]
  7) f1#(I48, I49, I50, I51) -> f6#(I52, I53, I54, I55) [3 <= I52 - 1 /\ 1 <= I53 - 1]
  8) f5#(I56, I57, I58, I59) -> f5#(I60, I61, I62, I63) [-1 <= I61 - 1 /\ 0 <= I60 - 1 /\ 0 <= I57 - 1 /\ 2 <= I56 - 1 /\ I61 + 1 <= I57 /\ I61 + 3 <= I56 /\ I60 <= I57 /\ I60 + 2 <= I56]
  9) f1#(I64, I65, I66, I67) -> f5#(I68, I69, I70, I71) [3 <= I68 - 1 /\ 1 <= I69 - 1]
  10) f4#(I72, I73, I74, I75) -> f4#(I76, I77, I78, I79) [-1 <= I77 - 1 /\ 0 <= I76 - 1 /\ 0 <= I73 - 1 /\ 2 <= I72 - 1 /\ I77 + 1 <= I73 /\ I77 + 3 <= I72 /\ I76 <= I73 /\ I76 + 2 <= I72]
  11) f1#(I80, I81, I82, I83) -> f4#(I84, I85, I86, I87) [3 <= I84 - 1 /\ 1 <= I85 - 1]
  12) f3#(I88, I89, I90, I91) -> f3#(I92, I93, I94, I95) [-1 <= I94 - 1 /\ 0 <= I93 - 1 /\ 0 <= I92 - 1 /\ 0 <= I90 - 1 /\ 0 <= I89 - 1 /\ 2 <= I88 - 1 /\ I93 <= I89]
  13) f1#(I96, I97, I98, I99) -> f3#(I100, I101, I102, I103) [4 <= I101 - 1 /\ -1 <= I102 - 1 /\ 3 <= I100 - 1]
  14) f2#(I104, I105, I106, I107) -> f2#(I108, I109, I110, I111) [-1 <= I111 - 1 /\ -1 <= I110 - 1 /\ 0 <= I109 - 1 /\ -1 <= I108 - 1 /\ 0 <= I107 - 1 /\ 0 <= I106 - 1 /\ 0 <= I105 - 1 /\ 0 <= I104 - 1 /\ I111 + 1 <= I105 /\ I110 + 1 <= I105 /\ I109 <= I107 /\ I109 <= I106 /\ I109 <= I104 /\ I108 + 1 <= I105]
  15) f1#(I112, I113, I114, I115) -> f2#(I116, I117, I118, I119) [3 <= I118 - 1 /\ 3 <= I119 - 1 /\ 3 <= I117 - 1 /\ 3 <= I116 - 1]

We have the following SCCs.
  { 6 }
  { 8 }
  { 10 }
  { 12 }
  { 14 }

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