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Integer_Transition_Systems 2019-03-29 01.54 pair #432273747
details
property
value
status
complete
benchmark
Shuffle.jar-obl-10.smt2
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n129.star.cs.uiowa.edu
space
From_AProVE_2014
run statistics
property
value
solver
Ctrl
configuration
Transition
runtime (wallclock)
1.13333 seconds
cpu usage
1.15455
user time
0.644417
system time
0.510131
max virtual memory
685844.0
max residence set size
8676.0
stage attributes
key
value
starexec-result
MAYBE
output
1.08/1.13 MAYBE 1.08/1.13 1.08/1.13 DP problem for innermost termination. 1.08/1.13 P = 1.08/1.13 init#(x1, x2) -> f3#(rnd1, rnd2) 1.08/1.13 f5#(I0, I1) -> f5#(I2, I3) [-1 <= I2 - 1 /\ 0 <= I0 - 1 /\ I2 + 1 <= I0] 1.08/1.13 f2#(I4, I5) -> f5#(I6, I7) [0 <= y1 - 1 /\ 0 <= y2 - 1 /\ I6 + 2 <= I5 /\ 0 <= I4 - 1 /\ 2 <= I5 - 1 /\ 0 <= I6 - 1] 1.08/1.13 f4#(I8, I9) -> f4#(I8 - 1, I9 + 1) [0 <= I9 - 1 /\ 0 <= I8 - 1] 1.08/1.13 f3#(I10, I11) -> f4#(I12, 1) [0 <= I10 - 1 /\ -1 <= I12 - 1 /\ -1 <= I11 - 1] 1.08/1.13 f2#(I13, I14) -> f2#(I15, I16) [0 <= I17 - 1 /\ 0 <= I18 - 1 /\ I15 <= I13 /\ I15 + 2 <= I14 /\ 0 <= I13 - 1 /\ 2 <= I14 - 1 /\ 0 <= I15 - 1 /\ -1 <= I16 - 1] 1.08/1.13 f2#(I19, I20) -> f2#(I21, I22) [-1 <= I22 - 1 /\ 0 <= I21 - 1 /\ 1 <= I20 - 1 /\ 0 <= I19 - 1 /\ I22 + 2 <= I20 /\ I22 + 1 <= I19 /\ I21 + 1 <= I20 /\ I21 <= I19] 1.08/1.13 f3#(I23, I24) -> f2#(I25, I26) [-1 <= I26 - 1 /\ 0 <= I25 - 1 /\ 0 <= I23 - 1 /\ I25 <= I23] 1.08/1.13 f1#(I27, I28) -> f2#(I29, I30) [-1 <= I30 - 1 /\ 0 <= I29 - 1 /\ -1 <= I28 - 1 /\ 0 <= I27 - 1 /\ I30 <= I28 /\ I29 - 1 <= I28 /\ I29 <= I27] 1.08/1.13 R = 1.08/1.13 init(x1, x2) -> f3(rnd1, rnd2) 1.08/1.13 f5(I0, I1) -> f5(I2, I3) [-1 <= I2 - 1 /\ 0 <= I0 - 1 /\ I2 + 1 <= I0] 1.08/1.13 f2(I4, I5) -> f5(I6, I7) [0 <= y1 - 1 /\ 0 <= y2 - 1 /\ I6 + 2 <= I5 /\ 0 <= I4 - 1 /\ 2 <= I5 - 1 /\ 0 <= I6 - 1] 1.08/1.13 f4(I8, I9) -> f4(I8 - 1, I9 + 1) [0 <= I9 - 1 /\ 0 <= I8 - 1] 1.08/1.13 f3(I10, I11) -> f4(I12, 1) [0 <= I10 - 1 /\ -1 <= I12 - 1 /\ -1 <= I11 - 1] 1.08/1.13 f2(I13, I14) -> f2(I15, I16) [0 <= I17 - 1 /\ 0 <= I18 - 1 /\ I15 <= I13 /\ I15 + 2 <= I14 /\ 0 <= I13 - 1 /\ 2 <= I14 - 1 /\ 0 <= I15 - 1 /\ -1 <= I16 - 1] 1.08/1.13 f2(I19, I20) -> f2(I21, I22) [-1 <= I22 - 1 /\ 0 <= I21 - 1 /\ 1 <= I20 - 1 /\ 0 <= I19 - 1 /\ I22 + 2 <= I20 /\ I22 + 1 <= I19 /\ I21 + 1 <= I20 /\ I21 <= I19] 1.08/1.13 f3(I23, I24) -> f2(I25, I26) [-1 <= I26 - 1 /\ 0 <= I25 - 1 /\ 0 <= I23 - 1 /\ I25 <= I23] 1.08/1.13 f1(I27, I28) -> f2(I29, I30) [-1 <= I30 - 1 /\ 0 <= I29 - 1 /\ -1 <= I28 - 1 /\ 0 <= I27 - 1 /\ I30 <= I28 /\ I29 - 1 <= I28 /\ I29 <= I27] 1.08/1.13 1.08/1.13 The dependency graph for this problem is: 1.08/1.13 0 -> 4, 7 1.08/1.13 1 -> 1 1.08/1.13 2 -> 1 1.08/1.13 3 -> 3 1.08/1.13 4 -> 3 1.08/1.13 5 -> 2, 5, 6 1.08/1.13 6 -> 2, 5, 6 1.08/1.13 7 -> 2, 5, 6 1.08/1.13 8 -> 2, 5, 6 1.08/1.13 Where: 1.08/1.13 0) init#(x1, x2) -> f3#(rnd1, rnd2) 1.08/1.13 1) f5#(I0, I1) -> f5#(I2, I3) [-1 <= I2 - 1 /\ 0 <= I0 - 1 /\ I2 + 1 <= I0] 1.08/1.13 2) f2#(I4, I5) -> f5#(I6, I7) [0 <= y1 - 1 /\ 0 <= y2 - 1 /\ I6 + 2 <= I5 /\ 0 <= I4 - 1 /\ 2 <= I5 - 1 /\ 0 <= I6 - 1] 1.08/1.13 3) f4#(I8, I9) -> f4#(I8 - 1, I9 + 1) [0 <= I9 - 1 /\ 0 <= I8 - 1] 1.08/1.13 4) f3#(I10, I11) -> f4#(I12, 1) [0 <= I10 - 1 /\ -1 <= I12 - 1 /\ -1 <= I11 - 1] 1.08/1.13 5) f2#(I13, I14) -> f2#(I15, I16) [0 <= I17 - 1 /\ 0 <= I18 - 1 /\ I15 <= I13 /\ I15 + 2 <= I14 /\ 0 <= I13 - 1 /\ 2 <= I14 - 1 /\ 0 <= I15 - 1 /\ -1 <= I16 - 1] 1.08/1.13 6) f2#(I19, I20) -> f2#(I21, I22) [-1 <= I22 - 1 /\ 0 <= I21 - 1 /\ 1 <= I20 - 1 /\ 0 <= I19 - 1 /\ I22 + 2 <= I20 /\ I22 + 1 <= I19 /\ I21 + 1 <= I20 /\ I21 <= I19] 1.08/1.13 7) f3#(I23, I24) -> f2#(I25, I26) [-1 <= I26 - 1 /\ 0 <= I25 - 1 /\ 0 <= I23 - 1 /\ I25 <= I23] 1.08/1.13 8) f1#(I27, I28) -> f2#(I29, I30) [-1 <= I30 - 1 /\ 0 <= I29 - 1 /\ -1 <= I28 - 1 /\ 0 <= I27 - 1 /\ I30 <= I28 /\ I29 - 1 <= I28 /\ I29 <= I27] 1.08/1.13 1.08/1.13 We have the following SCCs. 1.08/1.13 { 3 } 1.08/1.13 { 5, 6 } 1.08/1.13 { 1 } 1.08/1.13 1.08/1.13 DP problem for innermost termination. 1.08/1.13 P = 1.08/1.13 f5#(I0, I1) -> f5#(I2, I3) [-1 <= I2 - 1 /\ 0 <= I0 - 1 /\ I2 + 1 <= I0] 1.08/1.13 R = 1.08/1.13 init(x1, x2) -> f3(rnd1, rnd2) 1.08/1.13 f5(I0, I1) -> f5(I2, I3) [-1 <= I2 - 1 /\ 0 <= I0 - 1 /\ I2 + 1 <= I0] 1.08/1.13 f2(I4, I5) -> f5(I6, I7) [0 <= y1 - 1 /\ 0 <= y2 - 1 /\ I6 + 2 <= I5 /\ 0 <= I4 - 1 /\ 2 <= I5 - 1 /\ 0 <= I6 - 1] 1.08/1.13 f4(I8, I9) -> f4(I8 - 1, I9 + 1) [0 <= I9 - 1 /\ 0 <= I8 - 1] 1.08/1.13 f3(I10, I11) -> f4(I12, 1) [0 <= I10 - 1 /\ -1 <= I12 - 1 /\ -1 <= I11 - 1] 1.08/1.13 f2(I13, I14) -> f2(I15, I16) [0 <= I17 - 1 /\ 0 <= I18 - 1 /\ I15 <= I13 /\ I15 + 2 <= I14 /\ 0 <= I13 - 1 /\ 2 <= I14 - 1 /\ 0 <= I15 - 1 /\ -1 <= I16 - 1] 1.08/1.13 f2(I19, I20) -> f2(I21, I22) [-1 <= I22 - 1 /\ 0 <= I21 - 1 /\ 1 <= I20 - 1 /\ 0 <= I19 - 1 /\ I22 + 2 <= I20 /\ I22 + 1 <= I19 /\ I21 + 1 <= I20 /\ I21 <= I19] 1.08/1.13 f3(I23, I24) -> f2(I25, I26) [-1 <= I26 - 1 /\ 0 <= I25 - 1 /\ 0 <= I23 - 1 /\ I25 <= I23] 1.08/1.13 f1(I27, I28) -> f2(I29, I30) [-1 <= I30 - 1 /\ 0 <= I29 - 1 /\ -1 <= I28 - 1 /\ 0 <= I27 - 1 /\ I30 <= I28 /\ I29 - 1 <= I28 /\ I29 <= I27] 1.08/1.13 1.08/1.13 We use the basic value criterion with the projection function NU: 1.08/1.13 NU[f5#(z1,z2)] = z1 1.08/1.13 1.08/1.13 This gives the following inequalities: 1.08/1.13 -1 <= I2 - 1 /\ 0 <= I0 - 1 /\ I2 + 1 <= I0 ==> I0 >! I2 1.08/1.13 1.08/1.13 All dependency pairs are strictly oriented, so the entire dependency pair problem may be removed. 1.08/1.13 1.08/1.13 DP problem for innermost termination. 1.08/1.13 P = 1.08/1.13 f2#(I13, I14) -> f2#(I15, I16) [0 <= I17 - 1 /\ 0 <= I18 - 1 /\ I15 <= I13 /\ I15 + 2 <= I14 /\ 0 <= I13 - 1 /\ 2 <= I14 - 1 /\ 0 <= I15 - 1 /\ -1 <= I16 - 1] 1.08/1.13 f2#(I19, I20) -> f2#(I21, I22) [-1 <= I22 - 1 /\ 0 <= I21 - 1 /\ 1 <= I20 - 1 /\ 0 <= I19 - 1 /\ I22 + 2 <= I20 /\ I22 + 1 <= I19 /\ I21 + 1 <= I20 /\ I21 <= I19] 1.08/1.13 R = 1.08/1.13 init(x1, x2) -> f3(rnd1, rnd2) 1.08/1.13 f5(I0, I1) -> f5(I2, I3) [-1 <= I2 - 1 /\ 0 <= I0 - 1 /\ I2 + 1 <= I0] 1.08/1.13 f2(I4, I5) -> f5(I6, I7) [0 <= y1 - 1 /\ 0 <= y2 - 1 /\ I6 + 2 <= I5 /\ 0 <= I4 - 1 /\ 2 <= I5 - 1 /\ 0 <= I6 - 1] 1.08/1.13 f4(I8, I9) -> f4(I8 - 1, I9 + 1) [0 <= I9 - 1 /\ 0 <= I8 - 1] 1.08/1.13 f3(I10, I11) -> f4(I12, 1) [0 <= I10 - 1 /\ -1 <= I12 - 1 /\ -1 <= I11 - 1] 1.08/1.13 f2(I13, I14) -> f2(I15, I16) [0 <= I17 - 1 /\ 0 <= I18 - 1 /\ I15 <= I13 /\ I15 + 2 <= I14 /\ 0 <= I13 - 1 /\ 2 <= I14 - 1 /\ 0 <= I15 - 1 /\ -1 <= I16 - 1] 1.08/1.13 f2(I19, I20) -> f2(I21, I22) [-1 <= I22 - 1 /\ 0 <= I21 - 1 /\ 1 <= I20 - 1 /\ 0 <= I19 - 1 /\ I22 + 2 <= I20 /\ I22 + 1 <= I19 /\ I21 + 1 <= I20 /\ I21 <= I19] 1.08/1.13 f3(I23, I24) -> f2(I25, I26) [-1 <= I26 - 1 /\ 0 <= I25 - 1 /\ 0 <= I23 - 1 /\ I25 <= I23] 1.08/1.13 f1(I27, I28) -> f2(I29, I30) [-1 <= I30 - 1 /\ 0 <= I29 - 1 /\ -1 <= I28 - 1 /\ 0 <= I27 - 1 /\ I30 <= I28 /\ I29 - 1 <= I28 /\ I29 <= I27] 1.08/1.13 1.08/1.13 EOF
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