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Runti Compl Full Rewri 10127 pair #381903237
details
property
value
status
complete
benchmark
2.23.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n072.star.cs.uiowa.edu
space
SK90
run statistics
property
value
solver
AProVE
configuration
complexity
runtime (wallclock)
291.495764971 seconds
cpu usage
956.306207488
max memory
8.181641216E9
stage attributes
key
value
output-size
12232
starexec-result
WORST_CASE(Omega(n^3), ?)
output
/export/starexec/sandbox2/solver/bin/starexec_run_complexity /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files -------------------------------------------------------------------------------- WORST_CASE(Omega(n^3), ?) proof of /export/starexec/sandbox2/benchmark/theBenchmark.xml # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty The Runtime Complexity (full) of the given CpxTRS could be proven to be BOUNDS(n^3, INF). (0) CpxTRS (1) RenamingProof [BOTH BOUNDS(ID, ID), 0 ms] (2) CpxTRS (3) TypeInferenceProof [BOTH BOUNDS(ID, ID), 0 ms] (4) typed CpxTrs (5) OrderProof [LOWER BOUND(ID), 0 ms] (6) typed CpxTrs (7) RewriteLemmaProof [LOWER BOUND(ID), 298 ms] (8) BEST (9) proven lower bound (10) LowerBoundPropagationProof [FINISHED, 0 ms] (11) BOUNDS(n^1, INF) (12) typed CpxTrs (13) RewriteLemmaProof [LOWER BOUND(ID), 65 ms] (14) BEST (15) proven lower bound (16) LowerBoundPropagationProof [FINISHED, 0 ms] (17) BOUNDS(n^2, INF) (18) typed CpxTrs (19) RewriteLemmaProof [LOWER BOUND(ID), 695 ms] (20) typed CpxTrs (21) RewriteLemmaProof [LOWER BOUND(ID), 5747 ms] (22) proven lower bound (23) LowerBoundPropagationProof [FINISHED, 0 ms] (24) BOUNDS(n^3, INF) ---------------------------------------- (0) Obligation: The Runtime Complexity (full) of the given CpxTRS could be proven to be BOUNDS(n^3, INF). The TRS R consists of the following rules: fac(0) -> 1 fac(s(x)) -> *(s(x), fac(x)) floop(0, y) -> y floop(s(x), y) -> floop(x, *(s(x), y)) *(x, 0) -> 0 *(x, s(y)) -> +(*(x, y), x) +(x, 0) -> x +(x, s(y)) -> s(+(x, y)) 1 -> s(0) fac(0) -> s(0) S is empty. Rewrite Strategy: FULL ---------------------------------------- (1) RenamingProof (BOTH BOUNDS(ID, ID)) Renamed function symbols to avoid clashes with predefined symbol. ---------------------------------------- (2) Obligation: The Runtime Complexity (full) of the given CpxTRS could be proven to be BOUNDS(n^3, INF). The TRS R consists of the following rules: fac(0') -> 1' fac(s(x)) -> *'(s(x), fac(x)) floop(0', y) -> y floop(s(x), y) -> floop(x, *'(s(x), y)) *'(x, 0') -> 0' *'(x, s(y)) -> +'(*'(x, y), x) +'(x, 0') -> x +'(x, s(y)) -> s(+'(x, y)) 1' -> s(0') fac(0') -> s(0') S is empty. Rewrite Strategy: FULL ---------------------------------------- (3) TypeInferenceProof (BOTH BOUNDS(ID, ID)) Infered types. ---------------------------------------- (4) Obligation: TRS: Rules: fac(0') -> 1' fac(s(x)) -> *'(s(x), fac(x))
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