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Compl Integ Trans Syste 26843 pair #381745046
details
property
value
status
complete
benchmark
ex31.koat
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n020.star.cs.uiowa.edu
space
T2
run statistics
property
value
solver
AProVE
configuration
complexity
runtime (wallclock)
1.87778615952 seconds
cpu usage
3.975072201
max memory
2.91954688E8
stage attributes
key
value
output-size
3591
starexec-result
WORST_CASE(NON_POLY, ?)
output
/export/starexec/sandbox2/solver/bin/starexec_run_complexity /export/starexec/sandbox2/benchmark/theBenchmark.koat /export/starexec/sandbox2/output/output_files -------------------------------------------------------------------------------- WORST_CASE(NON_POLY, ?) 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# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty The runtime complexity of the given CpxIntTrs could be proven to be BOUNDS(INF, INF). (0) CpxIntTrs (1) Loat Proof [FINISHED, 316 ms] (2) BOUNDS(INF, INF) ---------------------------------------- (0) Obligation: Complexity Int TRS consisting of the following rules: f0(A, B) -> Com_1(f4(0, 99)) :|: TRUE f4(A, B) -> Com_1(f4(E, B)) :|: B >= A + 1 && C >= D + 1 f4(A, B) -> Com_1(f4(A, E)) :|: B >= A + 1 f4(A, B) -> Com_1(f11(A, B)) :|: A >= B The start-symbols are:[f0_2] ---------------------------------------- (1) Loat Proof (FINISHED) ### Pre-processing the ITS problem ### Initial linear ITS problem Start location: f0 0: f0 -> f4 : A'=0, B'=99, [], cost: 1 1: f4 -> f4 : A'=free_2, [ B>=1+A && free>=1+free_1 ], cost: 1 2: f4 -> f4 : B'=free_3, [ B>=1+A ], cost: 1 3: f4 -> f11 : [ A>=B ], cost: 1 Removed unreachable and leaf rules: Start location: f0 0: f0 -> f4 : A'=0, B'=99, [], cost: 1 1: f4 -> f4 : A'=free_2, [ B>=1+A && free>=1+free_1 ], cost: 1 2: f4 -> f4 : B'=free_3, [ B>=1+A ], cost: 1 Simplified all rules, resulting in: Start location: f0 0: f0 -> f4 : A'=0, B'=99, [], cost: 1 1: f4 -> f4 : A'=free_2, [ B>=1+A ], cost: 1 2: f4 -> f4 : B'=free_3, [ B>=1+A ], cost: 1 ### Simplification by acceleration and chaining ### Accelerating simple loops of location 1. Accelerating the following rules: 1: f4 -> f4 : A'=free_2, [ B>=1+A ], cost: 1 2: f4 -> f4 : B'=free_3, [ B>=1+A ], cost: 1 Accelerated rule 1 with NONTERM (after strengthening guard), yielding the new rule 4. Accelerated rule 2 with NONTERM (after strengthening guard), yielding the new rule 5. Removing the simple loops:.
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