Spaces
Explore
Communities
Statistics
Reports
Cluster
Status
Help
Compl Integ Trans Syste 26843 pair #381744513
details
property
value
status
complete
benchmark
nd_loop.koat
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n085.star.cs.uiowa.edu
space
WTC
run statistics
property
value
solver
AProVE
configuration
complexity
runtime (wallclock)
1.67555999756 seconds
cpu usage
3.756840627
max memory
2.60206592E8
stage attributes
key
value
output-size
5591
starexec-result
WORST_CASE(?, O(1))
output
/export/starexec/sandbox2/solver/bin/starexec_run_complexity /export/starexec/sandbox2/benchmark/theBenchmark.koat /export/starexec/sandbox2/output/output_files -------------------------------------------------------------------------------- WORST_CASE(?, O(1)) proof of /export/starexec/sandbox2/benchmark/theBenchmark.koat # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty The runtime complexity of the given CpxIntTrs could be proven to be BOUNDS(1, 1). (0) CpxIntTrs (1) Koat Proof [FINISHED, 8 ms] (2) BOUNDS(1, 1) ---------------------------------------- (0) Obligation: Complexity Int TRS consisting of the following rules: evalndloopstart(A) -> Com_1(evalndloopentryin(A)) :|: TRUE evalndloopentryin(A) -> Com_1(evalndloopbbin(0)) :|: TRUE evalndloopbbin(A) -> Com_1(evalndloopbbin(B)) :|: 2 + A >= B && B >= A + 1 && 9 >= B evalndloopbbin(A) -> Com_1(evalndloopreturnin(A)) :|: B >= A + 3 evalndloopbbin(A) -> Com_1(evalndloopreturnin(A)) :|: A >= B evalndloopbbin(A) -> Com_1(evalndloopreturnin(A)) :|: B >= 10 evalndloopreturnin(A) -> Com_1(evalndloopstop(A)) :|: TRUE The start-symbols are:[evalndloopstart_1] ---------------------------------------- (1) Koat Proof (FINISHED) YES(?, 19) Initial complexity problem: 1: T: (Comp: ?, Cost: 1) evalndloopstart(ar_0) -> Com_1(evalndloopentryin(ar_0)) (Comp: ?, Cost: 1) evalndloopentryin(ar_0) -> Com_1(evalndloopbbin(0)) (Comp: ?, Cost: 1) evalndloopbbin(ar_0) -> Com_1(evalndloopbbin(b)) [ ar_0 + 2 >= b /\ b >= ar_0 + 1 /\ 9 >= b ] (Comp: ?, Cost: 1) evalndloopbbin(ar_0) -> Com_1(evalndloopreturnin(ar_0)) [ b >= ar_0 + 3 ] (Comp: ?, Cost: 1) evalndloopbbin(ar_0) -> Com_1(evalndloopreturnin(ar_0)) [ ar_0 >= b ] (Comp: ?, Cost: 1) evalndloopbbin(ar_0) -> Com_1(evalndloopreturnin(ar_0)) [ b >= 10 ] (Comp: ?, Cost: 1) evalndloopreturnin(ar_0) -> Com_1(evalndloopstop(ar_0)) (Comp: 1, Cost: 0) koat_start(ar_0) -> Com_1(evalndloopstart(ar_0)) [ 0 <= 0 ] start location: koat_start leaf cost: 0 Repeatedly propagating knowledge in problem 1 produces the following problem: 2: T: (Comp: 1, Cost: 1) evalndloopstart(ar_0) -> Com_1(evalndloopentryin(ar_0)) (Comp: 1, Cost: 1) evalndloopentryin(ar_0) -> Com_1(evalndloopbbin(0)) (Comp: ?, Cost: 1) evalndloopbbin(ar_0) -> Com_1(evalndloopbbin(b)) [ ar_0 + 2 >= b /\ b >= ar_0 + 1 /\ 9 >= b ] (Comp: ?, Cost: 1) evalndloopbbin(ar_0) -> Com_1(evalndloopreturnin(ar_0)) [ b >= ar_0 + 3 ] (Comp: ?, Cost: 1) evalndloopbbin(ar_0) -> Com_1(evalndloopreturnin(ar_0)) [ ar_0 >= b ] (Comp: ?, Cost: 1) evalndloopbbin(ar_0) -> Com_1(evalndloopreturnin(ar_0)) [ b >= 10 ] (Comp: ?, Cost: 1) evalndloopreturnin(ar_0) -> Com_1(evalndloopstop(ar_0)) (Comp: 1, Cost: 0) koat_start(ar_0) -> Com_1(evalndloopstart(ar_0)) [ 0 <= 0 ] start location: koat_start leaf cost: 0 A polynomial rank function with Pol(evalndloopstart) = 2 Pol(evalndloopentryin) = 2 Pol(evalndloopbbin) = 2
popout
output may be truncated. 'popout' for the full output.
job log
popout
actions
all output
return to Compl Integ Trans Syste 26843