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Runti Compl Inner Rewri 22807 pair #381904333
details
property
value
status
complete
benchmark
t013.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n046.star.cs.uiowa.edu
space
HirokawaMiddeldorp_04
run statistics
property
value
solver
AProVE
configuration
complexity
runtime (wallclock)
292.731483936 seconds
cpu usage
1022.44666784
max memory
1.5960543232E10
stage attributes
key
value
output-size
8478
starexec-result
WORST_CASE(Omega(n^1), ?)
output
/export/starexec/sandbox/solver/bin/starexec_run_complexity /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/output/output_files -------------------------------------------------------------------------------- WORST_CASE(Omega(n^1), ?) proof of /export/starexec/sandbox/benchmark/theBenchmark.xml # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty The Runtime Complexity (innermost) of the given CpxTRS could be proven to be BOUNDS(n^1, INF).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), 278 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), 1443 ms] (14) typed CpxTrs (15) RewriteLemmaProof [LOWER BOUND(ID), 2578 ms] (16) typed CpxTrs (17) RewriteLemmaProof [LOWER BOUND(ID), 2845 ms] (18) BOUNDS(1, INF) ---------------------------------------- (0) Obligation: The Runtime Complexity (innermost) of the given CpxTRS could be proven to be BOUNDS(n^1, INF). The TRS R consists of the following rules: -(x, 0) -> x -(0, s(y)) -> 0 -(s(x), s(y)) -> -(x, y) f(0) -> 0 f(s(x)) -> -(s(x), g(f(x))) g(0) -> s(0) g(s(x)) -> -(s(x), f(g(x))) S is empty. Rewrite Strategy: INNERMOST ---------------------------------------- (1) RenamingProof (BOTH BOUNDS(ID, ID)) Renamed function symbols to avoid clashes with predefined symbol. ---------------------------------------- (2) Obligation: The Runtime Complexity (innermost) of the given CpxTRS could be proven to be BOUNDS(n^1, INF). The TRS R consists of the following rules: -(x, 0') -> x -(0', s(y)) -> 0' -(s(x), s(y)) -> -(x, y) f(0') -> 0' f(s(x)) -> -(s(x), g(f(x))) g(0') -> s(0') g(s(x)) -> -(s(x), f(g(x))) S is empty. Rewrite Strategy: INNERMOST ---------------------------------------- (3) TypeInferenceProof (BOTH BOUNDS(ID, ID)) Infered types. ---------------------------------------- (4) Obligation: Innermost TRS: Rules: -(x, 0') -> x -(0', s(y)) -> 0' -(s(x), s(y)) -> -(x, y) f(0') -> 0' f(s(x)) -> -(s(x), g(f(x))) g(0') -> s(0') g(s(x)) -> -(s(x), f(g(x))) Types: - :: 0':s -> 0':s -> 0':s 0' :: 0':s s :: 0':s -> 0':s f :: 0':s -> 0':s g :: 0':s -> 0':s
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