details

property	value
status	complete
benchmark	CountMetaListRec.jar-obl-9.smt2
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n146.star.cs.uiowa.edu
space	From_AProVE_2014

run statistics

property	value
solver	Ctrl
configuration	Transition
runtime (wallclock)	1.62338 seconds
cpu usage	1.65385
user time	0.919383
system time	0.734469
max virtual memory	720228.0
max residence set size	8400.0

stage attributes

key	value
starexec-result	MAYBE

output

MAYBE DP problem for innermost termination. P = init#(x1, x2, x3, x4) -> f3#(rnd1, rnd2, rnd3, rnd4) f4#(I0, I1, I2, I3) -> f4#(I4, I5, I6, I7) [I4 <= I0 /\ 0 <= y1 - 1 /\ 2 <= I0 - 1 /\ 0 <= I4 - 1] f4#(I8, I9, I10, I11) -> f4#(I12, I13, I14, I15) [I12 + 2 <= I8 /\ 0 <= I16 - 1 /\ 2 <= I8 - 1 /\ -1 <= I12 - 1] f4#(I17, I18, I19, I20) -> f4#(I21, I22, I23, I24) [I21 + 2 <= I17 /\ 0 <= I25 - 1 /\ 1 <= I17 - 1 /\ -1 <= I21 - 1] f6#(I26, I27, I28, I29) -> f6#(I26, I27, I28 - 1, I29) [0 <= I28 - 1] f6#(I30, I31, I32, I33) -> f5#(I31 + 1, I30, I33, I34) [0 = I32] f5#(I35, I36, I37, I38) -> f6#(I36, I35, I39, I37 + 1) [0 <= I37 - 1 /\ I35 <= I36 - 1 /\ -1 <= I39 - 1] f3#(I40, I41, I42, I43) -> f5#(0, I44, 1, I45) [0 <= I40 - 1 /\ -1 <= I44 - 1 /\ -1 <= I41 - 1] f2#(I46, I47, I48, I49) -> f4#(I50, I51, I52, I53) [0 <= y2 - 1 /\ 0 <= I54 - 1 /\ I50 <= I47 /\ 0 <= I46 - 1 /\ -1 <= I47 - 1 /\ -1 <= I50 - 1] f3#(I55, I56, I57, I58) -> f2#(I59, I60, I61, I62) [-1 <= I60 - 1 /\ 0 <= I59 - 1 /\ 0 <= I55 - 1 /\ I59 <= I55] f1#(I63, I64, I65, I66) -> f2#(I67, I68, I69, I70) [-1 <= I68 - 1 /\ 0 <= I67 - 1 /\ -1 <= I64 - 1 /\ 0 <= I63 - 1 /\ I68 <= I64 /\ I67 - 1 <= I64 /\ I67 <= I63] R = init(x1, x2, x3, x4) -> f3(rnd1, rnd2, rnd3, rnd4) f4(I0, I1, I2, I3) -> f4(I4, I5, I6, I7) [I4 <= I0 /\ 0 <= y1 - 1 /\ 2 <= I0 - 1 /\ 0 <= I4 - 1] f4(I8, I9, I10, I11) -> f4(I12, I13, I14, I15) [I12 + 2 <= I8 /\ 0 <= I16 - 1 /\ 2 <= I8 - 1 /\ -1 <= I12 - 1] f4(I17, I18, I19, I20) -> f4(I21, I22, I23, I24) [I21 + 2 <= I17 /\ 0 <= I25 - 1 /\ 1 <= I17 - 1 /\ -1 <= I21 - 1] f6(I26, I27, I28, I29) -> f6(I26, I27, I28 - 1, I29) [0 <= I28 - 1] f6(I30, I31, I32, I33) -> f5(I31 + 1, I30, I33, I34) [0 = I32] f5(I35, I36, I37, I38) -> f6(I36, I35, I39, I37 + 1) [0 <= I37 - 1 /\ I35 <= I36 - 1 /\ -1 <= I39 - 1] f3(I40, I41, I42, I43) -> f5(0, I44, 1, I45) [0 <= I40 - 1 /\ -1 <= I44 - 1 /\ -1 <= I41 - 1] f2(I46, I47, I48, I49) -> f4(I50, I51, I52, I53) [0 <= y2 - 1 /\ 0 <= I54 - 1 /\ I50 <= I47 /\ 0 <= I46 - 1 /\ -1 <= I47 - 1 /\ -1 <= I50 - 1] f3(I55, I56, I57, I58) -> f2(I59, I60, I61, I62) [-1 <= I60 - 1 /\ 0 <= I59 - 1 /\ 0 <= I55 - 1 /\ I59 <= I55] f1(I63, I64, I65, I66) -> f2(I67, I68, I69, I70) [-1 <= I68 - 1 /\ 0 <= I67 - 1 /\ -1 <= I64 - 1 /\ 0 <= I63 - 1 /\ I68 <= I64 /\ I67 - 1 <= I64 /\ I67 <= I63] The dependency graph for this problem is: 0 -> 7, 9 1 -> 1, 2, 3 2 -> 1, 2, 3 3 -> 1, 2, 3 4 -> 4, 5 5 -> 6 6 -> 4, 5 7 -> 6 8 -> 1, 2, 3 9 -> 8 10 -> 8 Where: 0) init#(x1, x2, x3, x4) -> f3#(rnd1, rnd2, rnd3, rnd4) 1) f4#(I0, I1, I2, I3) -> f4#(I4, I5, I6, I7) [I4 <= I0 /\ 0 <= y1 - 1 /\ 2 <= I0 - 1 /\ 0 <= I4 - 1] 2) f4#(I8, I9, I10, I11) -> f4#(I12, I13, I14, I15) [I12 + 2 <= I8 /\ 0 <= I16 - 1 /\ 2 <= I8 - 1 /\ -1 <= I12 - 1] 3) f4#(I17, I18, I19, I20) -> f4#(I21, I22, I23, I24) [I21 + 2 <= I17 /\ 0 <= I25 - 1 /\ 1 <= I17 - 1 /\ -1 <= I21 - 1] 4) f6#(I26, I27, I28, I29) -> f6#(I26, I27, I28 - 1, I29) [0 <= I28 - 1] 5) f6#(I30, I31, I32, I33) -> f5#(I31 + 1, I30, I33, I34) [0 = I32] 6) f5#(I35, I36, I37, I38) -> f6#(I36, I35, I39, I37 + 1) [0 <= I37 - 1 /\ I35 <= I36 - 1 /\ -1 <= I39 - 1] 7) f3#(I40, I41, I42, I43) -> f5#(0, I44, 1, I45) [0 <= I40 - 1 /\ -1 <= I44 - 1 /\ -1 <= I41 - 1] 8) f2#(I46, I47, I48, I49) -> f4#(I50, I51, I52, I53) [0 <= y2 - 1 /\ 0 <= I54 - 1 /\ I50 <= I47 /\ 0 <= I46 - 1 /\ -1 <= I47 - 1 /\ -1 <= I50 - 1] 9) f3#(I55, I56, I57, I58) -> f2#(I59, I60, I61, I62) [-1 <= I60 - 1 /\ 0 <= I59 - 1 /\ 0 <= I55 - 1 /\ I59 <= I55] 10) f1#(I63, I64, I65, I66) -> f2#(I67, I68, I69, I70) [-1 <= I68 - 1 /\ 0 <= I67 - 1 /\ -1 <= I64 - 1 /\ 0 <= I63 - 1 /\ I68 <= I64 /\ I67 - 1 <= I64 /\ I67 <= I63] We have the following SCCs. { 4, 5, 6 } { 1, 2, 3 } DP problem for innermost termination. P = f4#(I0, I1, I2, I3) -> f4#(I4, I5, I6, I7) [I4 <= I0 /\ 0 <= y1 - 1 /\ 2 <= I0 - 1 /\ 0 <= I4 - 1] f4#(I8, I9, I10, I11) -> f4#(I12, I13, I14, I15) [I12 + 2 <= I8 /\ 0 <= I16 - 1 /\ 2 <= I8 - 1 /\ -1 <= I12 - 1] f4#(I17, I18, I19, I20) -> f4#(I21, I22, I23, I24) [I21 + 2 <= I17 /\ 0 <= I25 - 1 /\ 1 <= I17 - 1 /\ -1 <= I21 - 1] R = init(x1, x2, x3, x4) -> f3(rnd1, rnd2, rnd3, rnd4) f4(I0, I1, I2, I3) -> f4(I4, I5, I6, I7) [I4 <= I0 /\ 0 <= y1 - 1 /\ 2 <= I0 - 1 /\ 0 <= I4 - 1] f4(I8, I9, I10, I11) -> f4(I12, I13, I14, I15) [I12 + 2 <= I8 /\ 0 <= I16 - 1 /\ 2 <= I8 - 1 /\ -1 <= I12 - 1] f4(I17, I18, I19, I20) -> f4(I21, I22, I23, I24) [I21 + 2 <= I17 /\ 0 <= I25 - 1 /\ 1 <= I17 - 1 /\ -1 <= I21 - 1] f6(I26, I27, I28, I29) -> f6(I26, I27, I28 - 1, I29) [0 <= I28 - 1] f6(I30, I31, I32, I33) -> f5(I31 + 1, I30, I33, I34) [0 = I32] f5(I35, I36, I37, I38) -> f6(I36, I35, I39, I37 + 1) [0 <= I37 - 1 /\ I35 <= I36 - 1 /\ -1 <= I39 - 1] f3(I40, I41, I42, I43) -> f5(0, I44, 1, I45) [0 <= I40 - 1 /\ -1 <= I44 - 1 /\ -1 <= I41 - 1] f2(I46, I47, I48, I49) -> f4(I50, I51, I52, I53) [0 <= y2 - 1 /\ 0 <= I54 - 1 /\ I50 <= I47 /\ 0 <= I46 - 1 /\ -1 <= I47 - 1 /\ -1 <= I50 - 1] f3(I55, I56, I57, I58) -> f2(I59, I60, I61, I62) [-1 <= I60 - 1 /\ 0 <= I59 - 1 /\ 0 <= I55 - 1 /\ I59 <= I55] f1(I63, I64, I65, I66) -> f2(I67, I68, I69, I70) [-1 <= I68 - 1 /\ 0 <= I67 - 1 /\ -1 <= I64 - 1 /\ 0 <= I63 - 1 /\ I68 <= I64 /\ I67 - 1 <= I64 /\ I67 <= I63] We use the basic value criterion with the projection function NU: NU[f4#(z1,z2,z3,z4)] = z1 This gives the following inequalities: I4 <= I0 /\ 0 <= y1 - 1 /\ 2 <= I0 - 1 /\ 0 <= I4 - 1 ==> I0 (>! \union =) I4 I12 + 2 <= I8 /\ 0 <= I16 - 1 /\ 2 <= I8 - 1 /\ -1 <= I12 - 1 ==> I8 >! I12 I21 + 2 <= I17 /\ 0 <= I25 - 1 /\ 1 <= I17 - 1 /\ -1 <= I21 - 1 ==> I17 >! I21 We remove all the strictly oriented dependency pairs. DP problem for innermost termination. P = f4#(I0, I1, I2, I3) -> f4#(I4, I5, I6, I7) [I4 <= I0 /\ 0 <= y1 - 1 /\ 2 <= I0 - 1 /\ 0 <= I4 - 1] R = init(x1, x2, x3, x4) -> f3(rnd1, rnd2, rnd3, rnd4) f4(I0, I1, I2, I3) -> f4(I4, I5, I6, I7) [I4 <= I0 /\ 0 <= y1 - 1 /\ 2 <= I0 - 1 /\ 0 <= I4 - 1] f4(I8, I9, I10, I11) -> f4(I12, I13, I14, I15) [I12 + 2 <= I8 /\ 0 <= I16 - 1 /\ 2 <= I8 - 1 /\ -1 <= I12 - 1] f4(I17, I18, I19, I20) -> f4(I21, I22, I23, I24) [I21 + 2 <= I17 /\ 0 <= I25 - 1 /\ 1 <= I17 - 1 /\ -1 <= I21 - 1] f6(I26, I27, I28, I29) -> f6(I26, I27, I28 - 1, I29) [0 <= I28 - 1] f6(I30, I31, I32, I33) -> f5(I31 + 1, I30, I33, I34) [0 = I32] f5(I35, I36, I37, I38) -> f6(I36, I35, I39, I37 + 1) [0 <= I37 - 1 /\ I35 <= I36 - 1 /\ -1 <= I39 - 1] f3(I40, I41, I42, I43) -> f5(0, I44, 1, I45) [0 <= I40 - 1 /\ -1 <= I44 - 1 /\ -1 <= I41 - 1] f2(I46, I47, I48, I49) -> f4(I50, I51, I52, I53) [0 <= y2 - 1 /\ 0 <= I54 - 1 /\ I50 <= I47 /\ 0 <= I46 - 1 /\ -1 <= I47 - 1 /\ -1 <= I50 - 1] f3(I55, I56, I57, I58) -> f2(I59, I60, I61, I62) [-1 <= I60 - 1 /\ 0 <= I59 - 1 /\ 0 <= I55 - 1 /\ I59 <= I55] f1(I63, I64, I65, I66) -> f2(I67, I68, I69, I70) [-1 <= I68 - 1 /\ 0 <= I67 - 1 /\ -1 <= I64 - 1 /\ 0 <= I63 - 1 /\ I68 <= I64 /\ I67 - 1 <= I64 /\ I67 <= I63] popout

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