details

property	value
status	complete
benchmark	Gopher.jar-obl-10.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)	4.70143 seconds
cpu usage	4.76759
user time	2.52225
system time	2.24533
max virtual memory	721328.0
max residence set size	8732.0

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) f6#(I0, I1, I2, I3, I4, I5) -> f6#(I6, I1, I2, I7, I8, I9) [I7 + 4 <= I0 /\ I3 + 2 <= I0 /\ 0 <= I6 - 1 /\ 2 <= I0 - 1 /\ I6 + 2 <= I0 /\ I1 <= I3 /\ 1 <= I2 - 1] f6#(I10, I11, I12, I13, I14, I15) -> f6#(I16, I11, I12, I17, I18, I19) [I17 + 4 <= I10 /\ I13 + 2 <= I10 /\ 0 <= I16 - 1 /\ 2 <= I10 - 1 /\ I16 + 2 <= I10 /\ I13 <= I11 - 1 /\ 1 <= I12 - 1] f4#(I20, I21, I22, I23, I24, I25) -> f6#(I26, I27, I23, I25, I28, I29) [I25 + 2 <= I20 /\ 0 <= I26 - 1 /\ 0 <= I20 - 1 /\ I26 <= I20 /\ I24 <= I23 - 1 /\ -1 <= I27 - 1 /\ 1 <= I23 - 1 /\ 0 <= I22 - 1 /\ I21 <= I22 - 1 /\ -1 <= I24 - 1] f5#(I30, I31, I32, I33, I34, I35) -> f5#(I36, I37, 0, I38, I39, I40) [I32 + 2 <= I30 /\ -1 <= I37 - 1 /\ 3 <= I36 - 1 /\ 0 <= I31 - 1 /\ 2 <= I30 - 1 /\ I37 + 1 <= I31 /\ I37 + 3 <= I30 /\ I36 - 2 <= I30] f2#(I41, I42, I43, I44, I45, I46) -> f5#(I47, I48, I45, I49, I50, I51) [I47 <= I42 /\ 1 <= y1 - 1 /\ I48 + 1 <= I42 /\ I48 <= I43 /\ 0 <= I41 - 1 /\ 0 <= I42 - 1 /\ -1 <= I43 - 1 /\ 0 <= I47 - 1 /\ -1 <= I48 - 1 /\ I44 + 2 <= I42 /\ I45 + 2 <= I42] f4#(I52, I53, I54, I55, I56, I57) -> f4#(I58, I53 + 1, I54, I55, I56 + 1, I59) [-1 <= I56 - 1 /\ I53 <= I54 - 1 /\ 0 <= I54 - 1 /\ 1 <= I55 - 1 /\ -1 <= I60 - 1 /\ I56 <= I55 - 1 /\ 0 <= I52 - 1 /\ 2 <= I58 - 1 /\ I57 + 2 <= I52] f4#(I61, I62, I63, I64, I65, I66) -> f4#(I67, I62 + 1, I63, I64, I65 + 1, I68) [-1 <= I65 - 1 /\ I62 <= I63 - 1 /\ 0 <= I63 - 1 /\ 1 <= I64 - 1 /\ -1 <= I69 - 1 /\ I65 <= I64 - 1 /\ 0 <= I61 - 1 /\ 2 <= I67 - 1 /\ I66 + 2 <= I61] f4#(I70, I71, I72, I73, I74, I75) -> f4#(I76, I71 + 1, I72, I73, I74 + 1, I77) [-1 <= I74 - 1 /\ I71 <= I72 - 1 /\ 0 <= I72 - 1 /\ 1 <= I73 - 1 /\ -1 <= I78 - 1 /\ I74 <= I73 - 1 /\ 0 <= I70 - 1 /\ 3 <= I76 - 1 /\ I75 + 2 <= I70] f4#(I79, I80, I81, I82, I83, I84) -> f4#(I85, I80 + 1, I81, I82, I83 + 1, I86) [-1 <= I83 - 1 /\ I80 <= I81 - 1 /\ 0 <= I81 - 1 /\ 1 <= I82 - 1 /\ -1 <= I87 - 1 /\ I83 <= I82 - 1 /\ 0 <= I79 - 1 /\ 3 <= I85 - 1 /\ I84 + 2 <= I79] f1#(I88, I89, I90, I91, I92, I93) -> f4#(I94, 0, I95, I89, 2, I96) [1 <= I94 - 1 /\ 0 <= I88 - 1 /\ -1 <= I95 - 1 /\ 1 <= I89 - 1 /\ -1 <= I96 - 1] f3#(I97, I98, I99, I100, I101, I102) -> f2#(I103, I104, I105, I100, I101, I106) [I101 + 2 <= I98 /\ I100 + 2 <= I98 /\ -1 <= I105 - 1 /\ 0 <= I104 - 1 /\ 0 <= I103 - 1 /\ -1 <= I99 - 1 /\ 0 <= I98 - 1 /\ 0 <= I97 - 1 /\ I105 <= I99 /\ I105 + 1 <= I98 /\ I104 <= I98 /\ I103 - 1 <= I99 /\ I103 <= I98 /\ I103 <= I97] f1#(I107, I108, I109, I110, I111, I112) -> f2#(I113, I114, I115, I116, I117, I118) [-1 <= I119 - 1 /\ 0 <= I108 - 1 /\ I113 <= I107 /\ 0 <= I107 - 1 /\ 0 <= I113 - 1 /\ 0 <= I114 - 1 /\ -1 <= I115 - 1] R = init(x1, x2, x3, x4, x5, x6) -> f1(rnd1, rnd2, rnd3, rnd4, rnd5, rnd6) f6(I0, I1, I2, I3, I4, I5) -> f6(I6, I1, I2, I7, I8, I9) [I7 + 4 <= I0 /\ I3 + 2 <= I0 /\ 0 <= I6 - 1 /\ 2 <= I0 - 1 /\ I6 + 2 <= I0 /\ I1 <= I3 /\ 1 <= I2 - 1] f6(I10, I11, I12, I13, I14, I15) -> f6(I16, I11, I12, I17, I18, I19) [I17 + 4 <= I10 /\ I13 + 2 <= I10 /\ 0 <= I16 - 1 /\ 2 <= I10 - 1 /\ I16 + 2 <= I10 /\ I13 <= I11 - 1 /\ 1 <= I12 - 1] f4(I20, I21, I22, I23, I24, I25) -> f6(I26, I27, I23, I25, I28, I29) [I25 + 2 <= I20 /\ 0 <= I26 - 1 /\ 0 <= I20 - 1 /\ I26 <= I20 /\ I24 <= I23 - 1 /\ -1 <= I27 - 1 /\ 1 <= I23 - 1 /\ 0 <= I22 - 1 /\ I21 <= I22 - 1 /\ -1 <= I24 - 1] f5(I30, I31, I32, I33, I34, I35) -> f5(I36, I37, 0, I38, I39, I40) [I32 + 2 <= I30 /\ -1 <= I37 - 1 /\ 3 <= I36 - 1 /\ 0 <= I31 - 1 /\ 2 <= I30 - 1 /\ I37 + 1 <= I31 /\ I37 + 3 <= I30 /\ I36 - 2 <= I30] f2(I41, I42, I43, I44, I45, I46) -> f5(I47, I48, I45, I49, I50, I51) [I47 <= I42 /\ 1 <= y1 - 1 /\ I48 + 1 <= I42 /\ I48 <= I43 /\ 0 <= I41 - 1 /\ 0 <= I42 - 1 /\ -1 <= I43 - 1 /\ 0 <= I47 - 1 /\ -1 <= I48 - 1 /\ I44 + 2 <= I42 /\ I45 + 2 <= I42] f4(I52, I53, I54, I55, I56, I57) -> f4(I58, I53 + 1, I54, I55, I56 + 1, I59) [-1 <= I56 - 1 /\ I53 <= I54 - 1 /\ 0 <= I54 - 1 /\ 1 <= I55 - 1 /\ -1 <= I60 - 1 /\ I56 <= I55 - 1 /\ 0 <= I52 - 1 /\ 2 <= I58 - 1 /\ I57 + 2 <= I52] f4(I61, I62, I63, I64, I65, I66) -> f4(I67, I62 + 1, I63, I64, I65 + 1, I68) [-1 <= I65 - 1 /\ I62 <= I63 - 1 /\ 0 <= I63 - 1 /\ 1 <= I64 - 1 /\ -1 <= I69 - 1 /\ I65 <= I64 - 1 /\ 0 <= I61 - 1 /\ 2 <= I67 - 1 /\ I66 + 2 <= I61] f4(I70, I71, I72, I73, I74, I75) -> f4(I76, I71 + 1, I72, I73, I74 + 1, I77) [-1 <= I74 - 1 /\ I71 <= I72 - 1 /\ 0 <= I72 - 1 /\ 1 <= I73 - 1 /\ -1 <= I78 - 1 /\ I74 <= I73 - 1 /\ 0 <= I70 - 1 /\ 3 <= I76 - 1 /\ I75 + 2 <= I70] f4(I79, I80, I81, I82, I83, I84) -> f4(I85, I80 + 1, I81, I82, I83 + 1, I86) [-1 <= I83 - 1 /\ I80 <= I81 - 1 /\ 0 <= I81 - 1 /\ 1 <= I82 - 1 /\ -1 <= I87 - 1 /\ I83 <= I82 - 1 /\ 0 <= I79 - 1 /\ 3 <= I85 - 1 /\ I84 + 2 <= I79] f1(I88, I89, I90, I91, I92, I93) -> f4(I94, 0, I95, I89, 2, I96) [1 <= I94 - 1 /\ 0 <= I88 - 1 /\ -1 <= I95 - 1 /\ 1 <= I89 - 1 /\ -1 <= I96 - 1] f3(I97, I98, I99, I100, I101, I102) -> f2(I103, I104, I105, I100, I101, I106) [I101 + 2 <= I98 /\ I100 + 2 <= I98 /\ -1 <= I105 - 1 /\ 0 <= I104 - 1 /\ 0 <= I103 - 1 /\ -1 <= I99 - 1 /\ 0 <= I98 - 1 /\ 0 <= I97 - 1 /\ I105 <= I99 /\ I105 + 1 <= I98 /\ I104 <= I98 /\ I103 - 1 <= I99 /\ I103 <= I98 /\ I103 <= I97] f1(I107, I108, I109, I110, I111, I112) -> f2(I113, I114, I115, I116, I117, I118) [-1 <= I119 - 1 /\ 0 <= I108 - 1 /\ I113 <= I107 /\ 0 <= I107 - 1 /\ 0 <= I113 - 1 /\ 0 <= I114 - 1 /\ -1 <= I115 - 1] The dependency graph for this problem is: 0 -> 10, 12 1 -> 1, 2 2 -> 1, 2 3 -> 1, 2 4 -> 4 5 -> 4 6 -> 3, 6, 7, 8, 9 7 -> 3, 6, 7, 8, 9 8 -> 3, 6, 7, 8, 9 9 -> 3, 6, 7, 8, 9 10 -> 3, 6, 7, 8, 9 11 -> 5 12 -> 5 Where: 0) init#(x1, x2, x3, x4, x5, x6) -> f1#(rnd1, rnd2, rnd3, rnd4, rnd5, rnd6) 1) f6#(I0, I1, I2, I3, I4, I5) -> f6#(I6, I1, I2, I7, I8, I9) [I7 + 4 <= I0 /\ I3 + 2 <= I0 /\ 0 <= I6 - 1 /\ 2 <= I0 - 1 /\ I6 + 2 <= I0 /\ I1 <= I3 /\ 1 <= I2 - 1] 2) f6#(I10, I11, I12, I13, I14, I15) -> f6#(I16, I11, I12, I17, I18, I19) [I17 + 4 <= I10 /\ I13 + 2 <= I10 /\ 0 <= I16 - 1 /\ 2 <= I10 - 1 /\ I16 + 2 <= I10 /\ I13 <= I11 - 1 /\ 1 <= I12 - 1] 3) f4#(I20, I21, I22, I23, I24, I25) -> f6#(I26, I27, I23, I25, I28, I29) [I25 + 2 <= I20 /\ 0 <= I26 - 1 /\ 0 <= I20 - 1 /\ I26 <= I20 /\ I24 <= I23 - 1 /\ -1 <= I27 - 1 /\ 1 <= I23 - 1 /\ 0 <= I22 - 1 /\ I21 <= I22 - 1 /\ -1 <= I24 - 1] 4) f5#(I30, I31, I32, I33, I34, I35) -> f5#(I36, I37, 0, I38, I39, I40) [I32 + 2 <= I30 /\ -1 <= I37 - 1 /\ 3 <= I36 - 1 /\ 0 <= I31 - 1 /\ 2 <= I30 - 1 /\ I37 + 1 <= I31 /\ I37 + 3 <= I30 /\ I36 - 2 <= I30] 5) f2#(I41, I42, I43, I44, I45, I46) -> f5#(I47, I48, I45, I49, I50, I51) [I47 <= I42 /\ 1 <= y1 - 1 /\ I48 + 1 <= I42 /\ I48 <= I43 /\ 0 <= I41 - 1 /\ 0 <= I42 - 1 /\ -1 <= I43 - 1 /\ 0 <= I47 - 1 /\ -1 <= I48 - 1 /\ I44 + 2 <= I42 /\ I45 + 2 <= I42] 6) f4#(I52, I53, I54, I55, I56, I57) -> f4#(I58, I53 + 1, I54, I55, I56 + 1, I59) [-1 <= I56 - 1 /\ I53 <= I54 - 1 /\ 0 <= I54 - 1 /\ 1 <= I55 - 1 /\ -1 <= I60 - 1 /\ I56 <= I55 - 1 /\ 0 <= I52 - 1 /\ 2 <= I58 - 1 /\ I57 + 2 <= I52] 7) f4#(I61, I62, I63, I64, I65, I66) -> f4#(I67, I62 + 1, I63, I64, I65 + 1, I68) [-1 <= I65 - 1 /\ I62 <= I63 - 1 /\ 0 <= I63 - 1 /\ 1 <= I64 - 1 /\ -1 <= I69 - 1 /\ I65 <= I64 - 1 /\ 0 <= I61 - 1 /\ 2 <= I67 - 1 /\ I66 + 2 <= I61] 8) f4#(I70, I71, I72, I73, I74, I75) -> f4#(I76, I71 + 1, I72, I73, I74 + 1, I77) [-1 <= I74 - 1 /\ I71 <= I72 - 1 /\ 0 <= I72 - 1 /\ 1 <= I73 - 1 /\ -1 <= I78 - 1 /\ I74 <= I73 - 1 /\ 0 <= I70 - 1 /\ 3 <= I76 - 1 /\ I75 + 2 <= I70] 9) f4#(I79, I80, I81, I82, I83, I84) -> f4#(I85, I80 + 1, I81, I82, I83 + 1, I86) [-1 <= I83 - 1 /\ I80 <= I81 - 1 /\ 0 <= I81 - 1 /\ 1 <= I82 - 1 /\ -1 <= I87 - 1 /\ I83 <= I82 - 1 /\ 0 <= I79 - 1 /\ 3 <= I85 - 1 /\ I84 + 2 <= I79] 10) f1#(I88, I89, I90, I91, I92, I93) -> f4#(I94, 0, I95, I89, 2, I96) [1 <= I94 - 1 /\ 0 <= I88 - 1 /\ -1 <= I95 - 1 /\ 1 <= I89 - 1 /\ -1 <= I96 - 1] 11) f3#(I97, I98, I99, I100, I101, I102) -> f2#(I103, I104, I105, I100, I101, I106) [I101 + 2 <= I98 /\ I100 + 2 <= I98 /\ -1 <= I105 - 1 /\ 0 <= I104 - 1 /\ 0 <= I103 - 1 /\ -1 <= I99 - 1 /\ 0 <= I98 - 1 /\ 0 <= I97 - 1 /\ I105 <= I99 /\ I105 + 1 <= I98 /\ I104 <= I98 /\ I103 - 1 <= I99 /\ I103 <= I98 /\ I103 <= I97] 12) f1#(I107, I108, I109, I110, I111, I112) -> f2#(I113, I114, I115, I116, I117, I118) [-1 <= I119 - 1 /\ 0 <= I108 - 1 /\ I113 <= I107 /\ 0 <= I107 - 1 /\ 0 <= I113 - 1 /\ 0 <= I114 - 1 /\ -1 <= I115 - 1] We have the following SCCs. { 6, 7, 8, 9 } { 1, 2 } { 4 } DP problem for innermost termination. P = f5#(I30, I31, I32, I33, I34, I35) -> f5#(I36, I37, 0, I38, I39, I40) [I32 + 2 <= I30 /\ -1 <= I37 - 1 /\ 3 <= I36 - 1 /\ 0 <= I31 - 1 /\ 2 <= I30 - 1 /\ I37 + 1 <= I31 /\ I37 + 3 <= I30 /\ I36 - 2 <= I30] R = init(x1, x2, x3, x4, x5, x6) -> f1(rnd1, rnd2, rnd3, rnd4, rnd5, rnd6) f6(I0, I1, I2, I3, I4, I5) -> f6(I6, I1, I2, I7, I8, I9) [I7 + 4 <= I0 /\ I3 + 2 <= I0 /\ 0 <= I6 - 1 /\ 2 <= I0 - 1 /\ I6 + 2 <= I0 /\ I1 <= I3 /\ 1 <= I2 - 1] f6(I10, I11, I12, I13, I14, I15) -> f6(I16, I11, I12, I17, I18, I19) [I17 + 4 <= I10 /\ I13 + 2 <= I10 /\ 0 <= I16 - 1 /\ 2 <= I10 - 1 /\ I16 + 2 <= I10 /\ I13 <= I11 - 1 /\ 1 <= I12 - 1] f4(I20, I21, I22, I23, I24, I25) -> f6(I26, I27, I23, I25, I28, I29) [I25 + 2 <= I20 /\ 0 <= I26 - 1 /\ 0 <= I20 - 1 /\ I26 <= I20 /\ I24 <= I23 - 1 /\ -1 <= I27 - 1 /\ 1 <= I23 - 1 /\ 0 <= I22 - 1 /\ I21 <= I22 - 1 /\ -1 <= I24 - 1] f5(I30, I31, I32, I33, I34, I35) -> f5(I36, I37, 0, I38, I39, I40) [I32 + 2 <= I30 /\ -1 <= I37 - 1 /\ 3 <= I36 - 1 /\ 0 <= I31 - 1 /\ 2 <= I30 - 1 /\ I37 + 1 <= I31 /\ I37 + 3 <= I30 /\ I36 - 2 <= I30] f2(I41, I42, I43, I44, I45, I46) -> f5(I47, I48, I45, I49, I50, I51) [I47 <= I42 /\ 1 <= y1 - 1 /\ I48 + 1 <= I42 /\ I48 <= I43 /\ 0 <= I41 - 1 /\ 0 <= I42 - 1 /\ -1 <= I43 - 1 /\ 0 <= I47 - 1 /\ -1 <= I48 - 1 /\ I44 + 2 <= I42 /\ I45 + 2 <= I42] f4(I52, I53, I54, I55, I56, I57) -> f4(I58, I53 + 1, I54, I55, I56 + 1, I59) [-1 <= I56 - 1 /\ I53 <= I54 - 1 /\ 0 <= I54 - 1 /\ 1 <= I55 - 1 /\ -1 <= I60 - 1 /\ I56 <= I55 - 1 /\ 0 <= I52 - 1 /\ 2 <= I58 - 1 /\ I57 + 2 <= I52] f4(I61, I62, I63, I64, I65, I66) -> f4(I67, I62 + 1, I63, I64, I65 + 1, I68) [-1 <= I65 - 1 /\ I62 <= I63 - 1 /\ 0 <= I63 - 1 /\ 1 <= I64 - 1 /\ -1 <= I69 - 1 /\ I65 <= I64 - 1 /\ 0 <= I61 - 1 /\ 2 <= I67 - 1 /\ I66 + 2 <= I61] f4(I70, I71, I72, I73, I74, I75) -> f4(I76, I71 + 1, I72, I73, I74 + 1, I77) [-1 <= I74 - 1 /\ I71 <= I72 - 1 /\ 0 <= I72 - 1 /\ 1 <= I73 - 1 /\ -1 <= I78 - 1 /\ I74 <= I73 - 1 /\ 0 <= I70 - 1 /\ 3 <= I76 - 1 /\ I75 + 2 <= I70] f4(I79, I80, I81, I82, I83, I84) -> f4(I85, I80 + 1, I81, I82, I83 + 1, I86) [-1 <= I83 - 1 /\ I80 <= I81 - 1 /\ 0 <= I81 - 1 /\ 1 <= I82 - 1 /\ -1 <= I87 - 1 /\ I83 <= I82 - 1 /\ 0 <= I79 - 1 /\ 3 <= I85 - 1 /\ I84 + 2 <= I79] f1(I88, I89, I90, I91, I92, I93) -> f4(I94, 0, I95, I89, 2, I96) [1 <= I94 - 1 /\ 0 <= I88 - 1 /\ -1 <= I95 - 1 /\ 1 <= I89 - 1 /\ -1 <= I96 - 1] f3(I97, I98, I99, I100, I101, I102) -> f2(I103, I104, I105, I100, I101, I106) [I101 + 2 <= I98 /\ I100 + 2 <= I98 /\ -1 <= I105 - 1 /\ 0 <= I104 - 1 /\ 0 <= I103 - 1 /\ -1 <= I99 - 1 /\ 0 <= I98 - 1 /\ 0 <= I97 - 1 /\ I105 <= I99 /\ I105 + 1 <= I98 /\ I104 <= I98 /\ I103 - 1 <= I99 /\ I103 <= I98 /\ I103 <= I97] f1(I107, I108, I109, I110, I111, I112) -> f2(I113, I114, I115, I116, I117, I118) [-1 <= I119 - 1 /\ 0 <= I108 - 1 /\ I113 <= I107 /\ 0 <= I107 - 1 /\ 0 <= I113 - 1 /\ 0 <= I114 - 1 /\ -1 <= I115 - 1] We use the basic value criterion with the projection function NU: NU[f5#(z1,z2,z3,z4,z5,z6)] = z2 This gives the following inequalities: I32 + 2 <= I30 /\ -1 <= I37 - 1 /\ 3 <= I36 - 1 /\ 0 <= I31 - 1 /\ 2 <= I30 - 1 /\ I37 + 1 <= I31 /\ I37 + 3 <= I30 /\ I36 - 2 <= I30 ==> I31 >! I37 All dependency pairs are strictly oriented, so the entire dependency pair problem may be removed. DP problem for innermost termination. P = f6#(I0, I1, I2, I3, I4, I5) -> f6#(I6, I1, I2, I7, I8, I9) [I7 + 4 <= I0 /\ I3 + 2 <= I0 /\ 0 <= I6 - 1 /\ 2 <= I0 - 1 /\ I6 + 2 <= I0 /\ I1 <= I3 /\ 1 <= I2 - 1] f6#(I10, I11, I12, I13, I14, I15) -> f6#(I16, I11, I12, I17, I18, I19) [I17 + 4 <= I10 /\ I13 + 2 <= I10 /\ 0 <= I16 - 1 /\ 2 <= I10 - 1 /\ I16 + 2 <= I10 /\ I13 <= I11 - 1 /\ 1 <= I12 - 1] R = init(x1, x2, x3, x4, x5, x6) -> f1(rnd1, rnd2, rnd3, rnd4, rnd5, rnd6) f6(I0, I1, I2, I3, I4, I5) -> f6(I6, I1, I2, I7, I8, I9) [I7 + 4 <= I0 /\ I3 + 2 <= I0 /\ 0 <= I6 - 1 /\ 2 <= I0 - 1 /\ I6 + 2 <= I0 /\ I1 <= I3 /\ 1 <= I2 - 1] f6(I10, I11, I12, I13, I14, I15) -> f6(I16, I11, I12, I17, I18, I19) [I17 + 4 <= I10 /\ I13 + 2 <= I10 /\ 0 <= I16 - 1 /\ 2 <= I10 - 1 /\ I16 + 2 <= I10 /\ I13 <= I11 - 1 /\ 1 <= I12 - 1] popout

output may be truncated. 'popout' for the full output.

job log

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all output return to ITS