Integer_Transition_Systems 2019-03-29 01.54 pair #432273402

details
property	value
status	complete
benchmark	DuplicateNodes.jar-obl-9.smt2
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n140.star.cs.uiowa.edu
space	From_AProVE_2014
run statistics
property	value
solver	Ctrl
configuration	Transition
runtime (wallclock)	2.65746 seconds
cpu usage	2.69459
user time	1.48864
system time	1.20595
max virtual memory	348724.0
max residence set size	8564.0
stage attributes
key	value
starexec-result	YES
output
2.62/2.65	YES
2.62/2.65	
2.62/2.65	DP problem for innermost termination.
2.62/2.65	P =
2.62/2.65	  init#(x1, x2, x3, x4) -> f1#(rnd1, rnd2, rnd3, rnd4) 
2.62/2.65	  f10#(I0, I1, I2, I3) -> f10#(I4, I1, I2 + 1, I5) [-1 <= I1 - 1 /\ 42 <= y1 - 1 /\ -1 <= I2 - 1 /\ I4 + 1 <= I0 /\ 0 <= I0 - 1 /\ -1 <= I4 - 1]
2.62/2.65	  f10#(I6, I7, I8, I9) -> f10#(I10, I7, I8 + 1, I11) [-1 <= I7 - 1 /\ -1 <= I8 - 1 /\ I12 <= 42 /\ -1 <= I12 - 1 /\ I10 + 1 <= I6 /\ 0 <= I6 - 1 /\ -1 <= I10 - 1]
2.62/2.65	  f2#(I13, I14, I15, I16) -> f10#(I17, I18, I15, I19) [-1 <= I17 - 1 /\ -1 <= I14 - 1 /\ 0 <= I13 - 1 /\ I17 <= I14]
2.62/2.65	  f8#(I42, I43, I44, I45) -> f8#(I46, I43 - 1, I44, I47) [0 <= I43 - 1 /\ 0 <= I45 - 1 /\ 0 <= I48 - 1 /\ I46 - 3 <= I42 /\ 2 <= I42 - 1 /\ 5 <= I46 - 1]
2.62/2.65	  f8#(I49, I50, I51, I52) -> f8#(I53, I50 - 1, I51, I54) [0 <= I50 - 1 /\ 0 <= I52 - 1 /\ 0 <= I55 - 1 /\ I53 - 3 <= I49 /\ 2 <= I49 - 1 /\ 5 <= I53 - 1]
2.62/2.65	  f8#(I56, I57, I58, I59) -> f8#(I60, I57 - 1, I58, I61) [0 <= I57 - 1 /\ 0 <= I59 - 1 /\ 0 <= I62 - 1 /\ I60 - 2 <= I56 /\ 2 <= I56 - 1 /\ 3 <= I60 - 1]
2.62/2.65	  f8#(I63, I64, I65, I66) -> f8#(I67, I64 - 1, I65, I68) [0 <= I64 - 1 /\ 0 <= I66 - 1 /\ 0 <= I69 - 1 /\ I67 - 2 <= I63 /\ 2 <= I63 - 1 /\ 3 <= I67 - 1]
2.62/2.65	  f8#(I70, I71, I72, I73) -> f8#(I74, I71 - 1, I72, I73) [-1 <= I74 - 1 /\ 1 <= I70 - 1 /\ 0 <= I71 - 1 /\ I74 + 2 <= I70]
2.62/2.65	  f5#(I75, I76, I77, I78) -> f8#(I79, I80, I81, I82) [0 <= I83 - 1 /\ -1 <= I80 - 1 /\ I79 - 1 <= I75 /\ 0 <= I75 - 1 /\ 1 <= I79 - 1 /\ I83 + 1 = I82]
2.62/2.65	  f7#(I84, I85, I86, I87) -> f8#(I88, I89, I90, I91) [0 <= I92 - 1 /\ -1 <= I89 - 1 /\ I88 - 3 <= I84 /\ 0 <= I84 - 1 /\ 3 <= I88 - 1 /\ I92 + 1 = I91]
2.62/2.65	  f1#(I93, I94, I95, I96) -> f7#(I97, I98, I99, I100) [0 <= I97 - 1 /\ 0 <= I93 - 1 /\ I97 <= I93]
2.62/2.65	  f6#(I101, I102, I103, I104) -> f7#(I105, I106, I107, I108) [0 <= I105 - 1]
2.62/2.65	  f1#(I109, I110, I111, I112) -> f5#(I113, I114, I115, I116) [0 <= I113 - 1 /\ 0 <= I109 - 1 /\ I113 <= I109]
2.62/2.65	  f4#(I117, I118, I119, I120) -> f5#(I121, I122, I123, I124) [0 <= I121 - 1]
2.62/2.65	  f3#(I125, I126, I127, I128) -> f2#(I129, I130, 2, I131) [-1 <= I130 - 1 /\ 0 <= I129 - 1 /\ -1 <= I126 - 1 /\ 0 <= I125 - 1 /\ I130 <= I126 /\ I129 - 1 <= I126 /\ I129 <= I125]
2.62/2.65	  f1#(I132, I133, I134, I135) -> f2#(I136, I137, I138, I139) [-1 <= I137 - 1 /\ 0 <= I136 - 1 /\ 0 <= I132 - 1 /\ I136 <= I132]
2.62/2.65	R = 
2.62/2.65	  init(x1, x2, x3, x4) -> f1(rnd1, rnd2, rnd3, rnd4) 
2.62/2.65	  f10(I0, I1, I2, I3) -> f10(I4, I1, I2 + 1, I5) [-1 <= I1 - 1 /\ 42 <= y1 - 1 /\ -1 <= I2 - 1 /\ I4 + 1 <= I0 /\ 0 <= I0 - 1 /\ -1 <= I4 - 1]
2.62/2.65	  f10(I6, I7, I8, I9) -> f10(I10, I7, I8 + 1, I11) [-1 <= I7 - 1 /\ -1 <= I8 - 1 /\ I12 <= 42 /\ -1 <= I12 - 1 /\ I10 + 1 <= I6 /\ 0 <= I6 - 1 /\ -1 <= I10 - 1]
2.62/2.65	  f2(I13, I14, I15, I16) -> f10(I17, I18, I15, I19) [-1 <= I17 - 1 /\ -1 <= I14 - 1 /\ 0 <= I13 - 1 /\ I17 <= I14]
2.62/2.65	  f8(I20, I21, I22, I23) -> f9(I24, I25, I26, I27) [0 <= I25 - 1 /\ 2 <= I20 - 1 /\ I25 + 2 <= I20 /\ -1 <= I22 - 1 /\ 0 <= I26 - 1 /\ 0 <= I23 - 1 /\ 0 <= I21 - 1]
2.62/2.65	  f8(I28, I29, I30, I31) -> f9(I32, I33, I31, I34) [0 <= I33 - 1 /\ 2 <= I28 - 1 /\ I33 + 2 <= I28 /\ -1 <= I30 - 1 /\ 0 <= I31 - 1 /\ 0 <= I29 - 1]
2.62/2.65	  f1(I35, I36, I37, I38) -> f9(I39, I40, 0, I41) [0 <= I40 - 1 /\ 0 <= I39 - 1 /\ 0 <= I35 - 1 /\ I40 <= I35 /\ -1 <= I36 - 1 /\ I39 <= I35]
2.62/2.65	  f8(I42, I43, I44, I45) -> f8(I46, I43 - 1, I44, I47) [0 <= I43 - 1 /\ 0 <= I45 - 1 /\ 0 <= I48 - 1 /\ I46 - 3 <= I42 /\ 2 <= I42 - 1 /\ 5 <= I46 - 1]
2.62/2.65	  f8(I49, I50, I51, I52) -> f8(I53, I50 - 1, I51, I54) [0 <= I50 - 1 /\ 0 <= I52 - 1 /\ 0 <= I55 - 1 /\ I53 - 3 <= I49 /\ 2 <= I49 - 1 /\ 5 <= I53 - 1]
2.62/2.65	  f8(I56, I57, I58, I59) -> f8(I60, I57 - 1, I58, I61) [0 <= I57 - 1 /\ 0 <= I59 - 1 /\ 0 <= I62 - 1 /\ I60 - 2 <= I56 /\ 2 <= I56 - 1 /\ 3 <= I60 - 1]
2.62/2.65	  f8(I63, I64, I65, I66) -> f8(I67, I64 - 1, I65, I68) [0 <= I64 - 1 /\ 0 <= I66 - 1 /\ 0 <= I69 - 1 /\ I67 - 2 <= I63 /\ 2 <= I63 - 1 /\ 3 <= I67 - 1]
2.62/2.65	  f8(I70, I71, I72, I73) -> f8(I74, I71 - 1, I72, I73) [-1 <= I74 - 1 /\ 1 <= I70 - 1 /\ 0 <= I71 - 1 /\ I74 + 2 <= I70]
2.62/2.65	  f5(I75, I76, I77, I78) -> f8(I79, I80, I81, I82) [0 <= I83 - 1 /\ -1 <= I80 - 1 /\ I79 - 1 <= I75 /\ 0 <= I75 - 1 /\ 1 <= I79 - 1 /\ I83 + 1 = I82]
2.62/2.65	  f7(I84, I85, I86, I87) -> f8(I88, I89, I90, I91) [0 <= I92 - 1 /\ -1 <= I89 - 1 /\ I88 - 3 <= I84 /\ 0 <= I84 - 1 /\ 3 <= I88 - 1 /\ I92 + 1 = I91]
2.62/2.65	  f1(I93, I94, I95, I96) -> f7(I97, I98, I99, I100) [0 <= I97 - 1 /\ 0 <= I93 - 1 /\ I97 <= I93]
2.62/2.65	  f6(I101, I102, I103, I104) -> f7(I105, I106, I107, I108) [0 <= I105 - 1]
2.62/2.65	  f1(I109, I110, I111, I112) -> f5(I113, I114, I115, I116) [0 <= I113 - 1 /\ 0 <= I109 - 1 /\ I113 <= I109]
2.62/2.65	  f4(I117, I118, I119, I120) -> f5(I121, I122, I123, I124) [0 <= I121 - 1]
2.62/2.65	  f3(I125, I126, I127, I128) -> f2(I129, I130, 2, I131) [-1 <= I130 - 1 /\ 0 <= I129 - 1 /\ -1 <= I126 - 1 /\ 0 <= I125 - 1 /\ I130 <= I126 /\ I129 - 1 <= I126 /\ I129 <= I125]
2.62/2.65	  f1(I132, I133, I134, I135) -> f2(I136, I137, I138, I139) [-1 <= I137 - 1 /\ 0 <= I136 - 1 /\ 0 <= I132 - 1 /\ I136 <= I132]
2.62/2.65	
2.62/2.65	The dependency graph for this problem is:
2.62/2.65	  0 -> 11, 13, 16
2.62/2.65	  1 -> 1, 2
2.62/2.65	  2 -> 1, 2
2.62/2.65	  3 -> 1, 2
2.62/2.65	  4 -> 4, 5, 6, 7, 8
2.62/2.65	  5 -> 4, 5, 6, 7, 8
2.62/2.65	  6 -> 4, 5, 6, 7, 8
2.62/2.65	  7 -> 4, 5, 6, 7, 8
2.62/2.65	  8 -> 4, 5, 6, 7, 8
2.62/2.65	  9 -> 4, 5, 6, 7, 8
2.62/2.65	  10 -> 4, 5, 6, 7, 8
2.62/2.65	  11 -> 10
2.62/2.65	  12 -> 10
2.62/2.65	  13 -> 9
2.62/2.65	  14 -> 9
2.62/2.65	  15 -> 3
2.62/2.65	  16 -> 3
2.62/2.65	Where:
2.62/2.65	  0) init#(x1, x2, x3, x4) -> f1#(rnd1, rnd2, rnd3, rnd4) 
2.62/2.65	  1) f10#(I0, I1, I2, I3) -> f10#(I4, I1, I2 + 1, I5) [-1 <= I1 - 1 /\ 42 <= y1 - 1 /\ -1 <= I2 - 1 /\ I4 + 1 <= I0 /\ 0 <= I0 - 1 /\ -1 <= I4 - 1]
2.62/2.65	  2) f10#(I6, I7, I8, I9) -> f10#(I10, I7, I8 + 1, I11) [-1 <= I7 - 1 /\ -1 <= I8 - 1 /\ I12 <= 42 /\ -1 <= I12 - 1 /\ I10 + 1 <= I6 /\ 0 <= I6 - 1 /\ -1 <= I10 - 1]
2.62/2.65	  3) f2#(I13, I14, I15, I16) -> f10#(I17, I18, I15, I19) [-1 <= I17 - 1 /\ -1 <= I14 - 1 /\ 0 <= I13 - 1 /\ I17 <= I14]
2.62/2.65	  4) f8#(I42, I43, I44, I45) -> f8#(I46, I43 - 1, I44, I47) [0 <= I43 - 1 /\ 0 <= I45 - 1 /\ 0 <= I48 - 1 /\ I46 - 3 <= I42 /\ 2 <= I42 - 1 /\ 5 <= I46 - 1]
2.62/2.65	  5) f8#(I49, I50, I51, I52) -> f8#(I53, I50 - 1, I51, I54) [0 <= I50 - 1 /\ 0 <= I52 - 1 /\ 0 <= I55 - 1 /\ I53 - 3 <= I49 /\ 2 <= I49 - 1 /\ 5 <= I53 - 1]
2.62/2.65	  6) f8#(I56, I57, I58, I59) -> f8#(I60, I57 - 1, I58, I61) [0 <= I57 - 1 /\ 0 <= I59 - 1 /\ 0 <= I62 - 1 /\ I60 - 2 <= I56 /\ 2 <= I56 - 1 /\ 3 <= I60 - 1]
2.62/2.65	  7) f8#(I63, I64, I65, I66) -> f8#(I67, I64 - 1, I65, I68) [0 <= I64 - 1 /\ 0 <= I66 - 1 /\ 0 <= I69 - 1 /\ I67 - 2 <= I63 /\ 2 <= I63 - 1 /\ 3 <= I67 - 1]
2.62/2.65	  8) f8#(I70, I71, I72, I73) -> f8#(I74, I71 - 1, I72, I73) [-1 <= I74 - 1 /\ 1 <= I70 - 1 /\ 0 <= I71 - 1 /\ I74 + 2 <= I70]
2.62/2.65	  9) f5#(I75, I76, I77, I78) -> f8#(I79, I80, I81, I82) [0 <= I83 - 1 /\ -1 <= I80 - 1 /\ I79 - 1 <= I75 /\ 0 <= I75 - 1 /\ 1 <= I79 - 1 /\ I83 + 1 = I82]
2.62/2.65	  10) f7#(I84, I85, I86, I87) -> f8#(I88, I89, I90, I91) [0 <= I92 - 1 /\ -1 <= I89 - 1 /\ I88 - 3 <= I84 /\ 0 <= I84 - 1 /\ 3 <= I88 - 1 /\ I92 + 1 = I91]
2.62/2.65	  11) f1#(I93, I94, I95, I96) -> f7#(I97, I98, I99, I100) [0 <= I97 - 1 /\ 0 <= I93 - 1 /\ I97 <= I93]
2.62/2.65	  12) f6#(I101, I102, I103, I104) -> f7#(I105, I106, I107, I108) [0 <= I105 - 1]
2.62/2.65	  13) f1#(I109, I110, I111, I112) -> f5#(I113, I114, I115, I116) [0 <= I113 - 1 /\ 0 <= I109 - 1 /\ I113 <= I109]
2.62/2.65	  14) f4#(I117, I118, I119, I120) -> f5#(I121, I122, I123, I124) [0 <= I121 - 1]
2.62/2.65	  15) f3#(I125, I126, I127, I128) -> f2#(I129, I130, 2, I131) [-1 <= I130 - 1 /\ 0 <= I129 - 1 /\ -1 <= I126 - 1 /\ 0 <= I125 - 1 /\ I130 <= I126 /\ I129 - 1 <= I126 /\ I129 <= I125]
2.62/2.65	  16) f1#(I132, I133, I134, I135) -> f2#(I136, I137, I138, I139) [-1 <= I137 - 1 /\ 0 <= I136 - 1 /\ 0 <= I132 - 1 /\ I136 <= I132]
2.62/2.65	
2.62/2.65	We have the following SCCs.
2.62/2.65	  { 4, 5, 6, 7, 8 }
2.62/2.65	  { 1, 2 }
2.62/2.65	
2.62/2.65	DP problem for innermost termination.
2.62/2.65	P =
2.62/2.65	  f10#(I0, I1, I2, I3) -> f10#(I4, I1, I2 + 1, I5) [-1 <= I1 - 1 /\ 42 <= y1 - 1 /\ -1 <= I2 - 1 /\ I4 + 1 <= I0 /\ 0 <= I0 - 1 /\ -1 <= I4 - 1]
2.62/2.65	  f10#(I6, I7, I8, I9) -> f10#(I10, I7, I8 + 1, I11) [-1 <= I7 - 1 /\ -1 <= I8 - 1 /\ I12 <= 42 /\ -1 <= I12 - 1 /\ I10 + 1 <= I6 /\ 0 <= I6 - 1 /\ -1 <= I10 - 1]
2.62/2.65	R = 
2.62/2.65	  init(x1, x2, x3, x4) -> f1(rnd1, rnd2, rnd3, rnd4) 
2.62/2.65	  f10(I0, I1, I2, I3) -> f10(I4, I1, I2 + 1, I5) [-1 <= I1 - 1 /\ 42 <= y1 - 1 /\ -1 <= I2 - 1 /\ I4 + 1 <= I0 /\ 0 <= I0 - 1 /\ -1 <= I4 - 1]
2.62/2.65	  f10(I6, I7, I8, I9) -> f10(I10, I7, I8 + 1, I11) [-1 <= I7 - 1 /\ -1 <= I8 - 1 /\ I12 <= 42 /\ -1 <= I12 - 1 /\ I10 + 1 <= I6 /\ 0 <= I6 - 1 /\ -1 <= I10 - 1]
2.62/2.65	  f2(I13, I14, I15, I16) -> f10(I17, I18, I15, I19) [-1 <= I17 - 1 /\ -1 <= I14 - 1 /\ 0 <= I13 - 1 /\ I17 <= I14]
2.62/2.65	  f8(I20, I21, I22, I23) -> f9(I24, I25, I26, I27) [0 <= I25 - 1 /\ 2 <= I20 - 1 /\ I25 + 2 <= I20 /\ -1 <= I22 - 1 /\ 0 <= I26 - 1 /\ 0 <= I23 - 1 /\ 0 <= I21 - 1]
2.62/2.65	  f8(I28, I29, I30, I31) -> f9(I32, I33, I31, I34) [0 <= I33 - 1 /\ 2 <= I28 - 1 /\ I33 + 2 <= I28 /\ -1 <= I30 - 1 /\ 0 <= I31 - 1 /\ 0 <= I29 - 1]
2.62/2.65	  f1(I35, I36, I37, I38) -> f9(I39, I40, 0, I41) [0 <= I40 - 1 /\ 0 <= I39 - 1 /\ 0 <= I35 - 1 /\ I40 <= I35 /\ -1 <= I36 - 1 /\ I39 <= I35]
2.62/2.65	  f8(I42, I43, I44, I45) -> f8(I46, I43 - 1, I44, I47) [0 <= I43 - 1 /\ 0 <= I45 - 1 /\ 0 <= I48 - 1 /\ I46 - 3 <= I42 /\ 2 <= I42 - 1 /\ 5 <= I46 - 1]
2.62/2.65	  f8(I49, I50, I51, I52) -> f8(I53, I50 - 1, I51, I54) [0 <= I50 - 1 /\ 0 <= I52 - 1 /\ 0 <= I55 - 1 /\ I53 - 3 <= I49 /\ 2 <= I49 - 1 /\ 5 <= I53 - 1]
2.62/2.65	  f8(I56, I57, I58, I59) -> f8(I60, I57 - 1, I58, I61) [0 <= I57 - 1 /\ 0 <= I59 - 1 /\ 0 <= I62 - 1 /\ I60 - 2 <= I56 /\ 2 <= I56 - 1 /\ 3 <= I60 - 1]
2.62/2.65	  f8(I63, I64, I65, I66) -> f8(I67, I64 - 1, I65, I68) [0 <= I64 - 1 /\ 0 <= I66 - 1 /\ 0 <= I69 - 1 /\ I67 - 2 <= I63 /\ 2 <= I63 - 1 /\ 3 <= I67 - 1]
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