details

property	value
status	complete
benchmark	AppE.jar-obl-9.smt2
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n137.star.cs.uiowa.edu
space	From_AProVE_2014

run statistics

property	value
solver	Ctrl
configuration	Transition
runtime (wallclock)	0.81476 seconds
cpu usage	0.808989
user time	0.474001
system time	0.334988
max virtual memory	123792.0
max residence set size	8588.0

stage attributes

key	value
starexec-result	YES

output

YES DP problem for innermost termination. P = init#(x1, x2, x3) -> f3#(rnd1, rnd2, rnd3) f5#(I0, I1, I2) -> f5#(I3, I1 - 1, I4) [-1 <= I4 - 1 /\ 1 <= I3 - 1 /\ -1 <= I2 - 1 /\ 1 <= I0 - 1 /\ I4 <= I2 /\ I4 + 2 <= I0 /\ I3 - 2 <= I2 /\ 0 <= I1 - 1 /\ I3 <= I0] f5#(I5, I6, I7) -> f5#(I8, I6, I9) [-1 <= I9 - 1 /\ 0 <= I8 - 1 /\ 0 <= I7 - 1 /\ 2 <= I5 - 1 /\ I9 + 1 <= I7 /\ I9 + 3 <= I5 /\ I8 <= I7 /\ I8 + 2 <= I5] f2#(I10, I11, I12) -> f5#(I13, I14, I15) [-1 <= I15 - 1 /\ 0 <= I13 - 1 /\ 0 <= I10 - 1 /\ I15 + 1 <= I10 /\ I13 <= I10 /\ 1 <= I11 - 1 /\ -1 <= I14 - 1] f4#(I16, I17, I18) -> f4#(I16 - 1, I19, I20) [0 <= I16 - 1] f3#(I21, I22, I23) -> f4#(I24, I25, I26) [0 <= I21 - 1 /\ -1 <= I24 - 1 /\ -1 <= I22 - 1] f3#(I27, I28, I29) -> f2#(I30, I28, I31) [-1 <= I30 - 1 /\ 0 <= I27 - 1] f1#(I32, I33, I34) -> f2#(I35, I36, I37) [-1 <= I35 - 1 /\ -1 <= I33 - 1 /\ 0 <= I32 - 1 /\ I35 <= I33] R = init(x1, x2, x3) -> f3(rnd1, rnd2, rnd3) f5(I0, I1, I2) -> f5(I3, I1 - 1, I4) [-1 <= I4 - 1 /\ 1 <= I3 - 1 /\ -1 <= I2 - 1 /\ 1 <= I0 - 1 /\ I4 <= I2 /\ I4 + 2 <= I0 /\ I3 - 2 <= I2 /\ 0 <= I1 - 1 /\ I3 <= I0] f5(I5, I6, I7) -> f5(I8, I6, I9) [-1 <= I9 - 1 /\ 0 <= I8 - 1 /\ 0 <= I7 - 1 /\ 2 <= I5 - 1 /\ I9 + 1 <= I7 /\ I9 + 3 <= I5 /\ I8 <= I7 /\ I8 + 2 <= I5] f2(I10, I11, I12) -> f5(I13, I14, I15) [-1 <= I15 - 1 /\ 0 <= I13 - 1 /\ 0 <= I10 - 1 /\ I15 + 1 <= I10 /\ I13 <= I10 /\ 1 <= I11 - 1 /\ -1 <= I14 - 1] f4(I16, I17, I18) -> f4(I16 - 1, I19, I20) [0 <= I16 - 1] f3(I21, I22, I23) -> f4(I24, I25, I26) [0 <= I21 - 1 /\ -1 <= I24 - 1 /\ -1 <= I22 - 1] f3(I27, I28, I29) -> f2(I30, I28, I31) [-1 <= I30 - 1 /\ 0 <= I27 - 1] f1(I32, I33, I34) -> f2(I35, I36, I37) [-1 <= I35 - 1 /\ -1 <= I33 - 1 /\ 0 <= I32 - 1 /\ I35 <= I33] The dependency graph for this problem is: 0 -> 5, 6 1 -> 1, 2 2 -> 1, 2 3 -> 1, 2 4 -> 4 5 -> 4 6 -> 3 7 -> 3 Where: 0) init#(x1, x2, x3) -> f3#(rnd1, rnd2, rnd3) 1) f5#(I0, I1, I2) -> f5#(I3, I1 - 1, I4) [-1 <= I4 - 1 /\ 1 <= I3 - 1 /\ -1 <= I2 - 1 /\ 1 <= I0 - 1 /\ I4 <= I2 /\ I4 + 2 <= I0 /\ I3 - 2 <= I2 /\ 0 <= I1 - 1 /\ I3 <= I0] 2) f5#(I5, I6, I7) -> f5#(I8, I6, I9) [-1 <= I9 - 1 /\ 0 <= I8 - 1 /\ 0 <= I7 - 1 /\ 2 <= I5 - 1 /\ I9 + 1 <= I7 /\ I9 + 3 <= I5 /\ I8 <= I7 /\ I8 + 2 <= I5] 3) f2#(I10, I11, I12) -> f5#(I13, I14, I15) [-1 <= I15 - 1 /\ 0 <= I13 - 1 /\ 0 <= I10 - 1 /\ I15 + 1 <= I10 /\ I13 <= I10 /\ 1 <= I11 - 1 /\ -1 <= I14 - 1] 4) f4#(I16, I17, I18) -> f4#(I16 - 1, I19, I20) [0 <= I16 - 1] 5) f3#(I21, I22, I23) -> f4#(I24, I25, I26) [0 <= I21 - 1 /\ -1 <= I24 - 1 /\ -1 <= I22 - 1] 6) f3#(I27, I28, I29) -> f2#(I30, I28, I31) [-1 <= I30 - 1 /\ 0 <= I27 - 1] 7) f1#(I32, I33, I34) -> f2#(I35, I36, I37) [-1 <= I35 - 1 /\ -1 <= I33 - 1 /\ 0 <= I32 - 1 /\ I35 <= I33] We have the following SCCs. { 4 } { 1, 2 } DP problem for innermost termination. P = f5#(I0, I1, I2) -> f5#(I3, I1 - 1, I4) [-1 <= I4 - 1 /\ 1 <= I3 - 1 /\ -1 <= I2 - 1 /\ 1 <= I0 - 1 /\ I4 <= I2 /\ I4 + 2 <= I0 /\ I3 - 2 <= I2 /\ 0 <= I1 - 1 /\ I3 <= I0] f5#(I5, I6, I7) -> f5#(I8, I6, I9) [-1 <= I9 - 1 /\ 0 <= I8 - 1 /\ 0 <= I7 - 1 /\ 2 <= I5 - 1 /\ I9 + 1 <= I7 /\ I9 + 3 <= I5 /\ I8 <= I7 /\ I8 + 2 <= I5] R = init(x1, x2, x3) -> f3(rnd1, rnd2, rnd3) f5(I0, I1, I2) -> f5(I3, I1 - 1, I4) [-1 <= I4 - 1 /\ 1 <= I3 - 1 /\ -1 <= I2 - 1 /\ 1 <= I0 - 1 /\ I4 <= I2 /\ I4 + 2 <= I0 /\ I3 - 2 <= I2 /\ 0 <= I1 - 1 /\ I3 <= I0] f5(I5, I6, I7) -> f5(I8, I6, I9) [-1 <= I9 - 1 /\ 0 <= I8 - 1 /\ 0 <= I7 - 1 /\ 2 <= I5 - 1 /\ I9 + 1 <= I7 /\ I9 + 3 <= I5 /\ I8 <= I7 /\ I8 + 2 <= I5] f2(I10, I11, I12) -> f5(I13, I14, I15) [-1 <= I15 - 1 /\ 0 <= I13 - 1 /\ 0 <= I10 - 1 /\ I15 + 1 <= I10 /\ I13 <= I10 /\ 1 <= I11 - 1 /\ -1 <= I14 - 1] f4(I16, I17, I18) -> f4(I16 - 1, I19, I20) [0 <= I16 - 1] f3(I21, I22, I23) -> f4(I24, I25, I26) [0 <= I21 - 1 /\ -1 <= I24 - 1 /\ -1 <= I22 - 1] f3(I27, I28, I29) -> f2(I30, I28, I31) [-1 <= I30 - 1 /\ 0 <= I27 - 1] f1(I32, I33, I34) -> f2(I35, I36, I37) [-1 <= I35 - 1 /\ -1 <= I33 - 1 /\ 0 <= I32 - 1 /\ I35 <= I33] We use the basic value criterion with the projection function NU: NU[f5#(z1,z2,z3)] = z2 This gives the following inequalities: -1 <= I4 - 1 /\ 1 <= I3 - 1 /\ -1 <= I2 - 1 /\ 1 <= I0 - 1 /\ I4 <= I2 /\ I4 + 2 <= I0 /\ I3 - 2 <= I2 /\ 0 <= I1 - 1 /\ I3 <= I0 ==> I1 >! I1 - 1 -1 <= I9 - 1 /\ 0 <= I8 - 1 /\ 0 <= I7 - 1 /\ 2 <= I5 - 1 /\ I9 + 1 <= I7 /\ I9 + 3 <= I5 /\ I8 <= I7 /\ I8 + 2 <= I5 ==> I6 (>! \union =) I6 We remove all the strictly oriented dependency pairs. DP problem for innermost termination. P = f5#(I5, I6, I7) -> f5#(I8, I6, I9) [-1 <= I9 - 1 /\ 0 <= I8 - 1 /\ 0 <= I7 - 1 /\ 2 <= I5 - 1 /\ I9 + 1 <= I7 /\ I9 + 3 <= I5 /\ I8 <= I7 /\ I8 + 2 <= I5] R = init(x1, x2, x3) -> f3(rnd1, rnd2, rnd3) f5(I0, I1, I2) -> f5(I3, I1 - 1, I4) [-1 <= I4 - 1 /\ 1 <= I3 - 1 /\ -1 <= I2 - 1 /\ 1 <= I0 - 1 /\ I4 <= I2 /\ I4 + 2 <= I0 /\ I3 - 2 <= I2 /\ 0 <= I1 - 1 /\ I3 <= I0] f5(I5, I6, I7) -> f5(I8, I6, I9) [-1 <= I9 - 1 /\ 0 <= I8 - 1 /\ 0 <= I7 - 1 /\ 2 <= I5 - 1 /\ I9 + 1 <= I7 /\ I9 + 3 <= I5 /\ I8 <= I7 /\ I8 + 2 <= I5] f2(I10, I11, I12) -> f5(I13, I14, I15) [-1 <= I15 - 1 /\ 0 <= I13 - 1 /\ 0 <= I10 - 1 /\ I15 + 1 <= I10 /\ I13 <= I10 /\ 1 <= I11 - 1 /\ -1 <= I14 - 1] f4(I16, I17, I18) -> f4(I16 - 1, I19, I20) [0 <= I16 - 1] f3(I21, I22, I23) -> f4(I24, I25, I26) [0 <= I21 - 1 /\ -1 <= I24 - 1 /\ -1 <= I22 - 1] f3(I27, I28, I29) -> f2(I30, I28, I31) [-1 <= I30 - 1 /\ 0 <= I27 - 1] f1(I32, I33, I34) -> f2(I35, I36, I37) [-1 <= I35 - 1 /\ -1 <= I33 - 1 /\ 0 <= I32 - 1 /\ I35 <= I33] We use the basic value criterion with the projection function NU: NU[f5#(z1,z2,z3)] = z3 This gives the following inequalities: -1 <= I9 - 1 /\ 0 <= I8 - 1 /\ 0 <= I7 - 1 /\ 2 <= I5 - 1 /\ I9 + 1 <= I7 /\ I9 + 3 <= I5 /\ I8 <= I7 /\ I8 + 2 <= I5 ==> I7 >! I9 All dependency pairs are strictly oriented, so the entire dependency pair problem may be removed. DP problem for innermost termination. P = f4#(I16, I17, I18) -> f4#(I16 - 1, I19, I20) [0 <= I16 - 1] R = init(x1, x2, x3) -> f3(rnd1, rnd2, rnd3) f5(I0, I1, I2) -> f5(I3, I1 - 1, I4) [-1 <= I4 - 1 /\ 1 <= I3 - 1 /\ -1 <= I2 - 1 /\ 1 <= I0 - 1 /\ I4 <= I2 /\ I4 + 2 <= I0 /\ I3 - 2 <= I2 /\ 0 <= I1 - 1 /\ I3 <= I0] f5(I5, I6, I7) -> f5(I8, I6, I9) [-1 <= I9 - 1 /\ 0 <= I8 - 1 /\ 0 <= I7 - 1 /\ 2 <= I5 - 1 /\ I9 + 1 <= I7 /\ I9 + 3 <= I5 /\ I8 <= I7 /\ I8 + 2 <= I5] f2(I10, I11, I12) -> f5(I13, I14, I15) [-1 <= I15 - 1 /\ 0 <= I13 - 1 /\ 0 <= I10 - 1 /\ I15 + 1 <= I10 /\ I13 <= I10 /\ 1 <= I11 - 1 /\ -1 <= I14 - 1] f4(I16, I17, I18) -> f4(I16 - 1, I19, I20) [0 <= I16 - 1] f3(I21, I22, I23) -> f4(I24, I25, I26) [0 <= I21 - 1 /\ -1 <= I24 - 1 /\ -1 <= I22 - 1] f3(I27, I28, I29) -> f2(I30, I28, I31) [-1 <= I30 - 1 /\ 0 <= I27 - 1] popout

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