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Integer Transition Systems pair #487528737
details
property
value
status
complete
benchmark
PastaB7.jar-obl-8.smt2
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n082.star.cs.uiowa.edu
space
From_AProVE_2014
run statistics
property
value
solver
Ctrl
configuration
Transition
runtime (wallclock)
0.346769094467 seconds
cpu usage
0.366494621
max memory
9416704.0
stage attributes
key
value
output-size
1834
starexec-result
YES
output
/export/starexec/sandbox2/solver/bin/starexec_run_Transition /export/starexec/sandbox2/benchmark/theBenchmark.smt2 /export/starexec/sandbox2/output/output_files -------------------------------------------------------------------------------- YES DP problem for innermost termination. P = init#(x1, x2, x3) -> f1#(rnd1, rnd2, rnd3) f2#(I0, I1, I2) -> f2#(I0 - 1, I1 - 1, I2) [I2 <= I0 - 1 /\ I2 <= I1 - 1] f1#(I3, I4, I5) -> f2#(I6, I7, I8) [0 <= I3 - 1 /\ -1 <= I6 - 1 /\ -1 <= I8 - 1 /\ -1 <= I4 - 1 /\ -1 <= I7 - 1] R = init(x1, x2, x3) -> f1(rnd1, rnd2, rnd3) f2(I0, I1, I2) -> f2(I0 - 1, I1 - 1, I2) [I2 <= I0 - 1 /\ I2 <= I1 - 1] f1(I3, I4, I5) -> f2(I6, I7, I8) [0 <= I3 - 1 /\ -1 <= I6 - 1 /\ -1 <= I8 - 1 /\ -1 <= I4 - 1 /\ -1 <= I7 - 1] The dependency graph for this problem is: 0 -> 2 1 -> 1 2 -> 1 Where: 0) init#(x1, x2, x3) -> f1#(rnd1, rnd2, rnd3) 1) f2#(I0, I1, I2) -> f2#(I0 - 1, I1 - 1, I2) [I2 <= I0 - 1 /\ I2 <= I1 - 1] 2) f1#(I3, I4, I5) -> f2#(I6, I7, I8) [0 <= I3 - 1 /\ -1 <= I6 - 1 /\ -1 <= I8 - 1 /\ -1 <= I4 - 1 /\ -1 <= I7 - 1] We have the following SCCs. { 1 } DP problem for innermost termination. P = f2#(I0, I1, I2) -> f2#(I0 - 1, I1 - 1, I2) [I2 <= I0 - 1 /\ I2 <= I1 - 1] R = init(x1, x2, x3) -> f1(rnd1, rnd2, rnd3) f2(I0, I1, I2) -> f2(I0 - 1, I1 - 1, I2) [I2 <= I0 - 1 /\ I2 <= I1 - 1] f1(I3, I4, I5) -> f2(I6, I7, I8) [0 <= I3 - 1 /\ -1 <= I6 - 1 /\ -1 <= I8 - 1 /\ -1 <= I4 - 1 /\ -1 <= I7 - 1] We use the reverse value criterion with the projection function NU: NU[f2#(z1,z2,z3)] = z1 - 1 + -1 * z3 This gives the following inequalities: I2 <= I0 - 1 /\ I2 <= I1 - 1 ==> I0 - 1 + -1 * I2 > I0 - 1 - 1 + -1 * I2 with I0 - 1 + -1 * I2 >= 0 All dependency pairs are strictly oriented, so the entire dependency pair problem may be removed.
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