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Runti Compl Inner Rewri 22807 pair #381904814
details
property
value
status
complete
benchmark
4.27.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n047.star.cs.uiowa.edu
space
SK90
run statistics
property
value
solver
AProVE
configuration
complexity
runtime (wallclock)
291.479473829 seconds
cpu usage
980.802864265
max memory
9.594441728E9
stage attributes
key
value
output-size
7172
starexec-result
WORST_CASE(Omega(n^1), ?)
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^1), ?) proof of /export/starexec/sandbox2/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# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty The Runtime Complexity (innermost) of the given CpxTRS could be proven to be BOUNDS(n^1, INF).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) SlicingProof [LOWER BOUND(ID), 0 ms] (4) CpxTRS (5) TypeInferenceProof [BOTH BOUNDS(ID, ID), 0 ms] (6) typed CpxTrs (7) OrderProof [LOWER BOUND(ID), 4 ms] (8) typed CpxTrs (9) RewriteLemmaProof [LOWER BOUND(ID), 308 ms] (10) BEST (11) proven lower bound (12) LowerBoundPropagationProof [FINISHED, 0 ms] (13) BOUNDS(n^1, INF) (14) typed CpxTrs (15) RewriteLemmaProof [LOWER BOUND(ID), 106 ms] (16) 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: int(0, 0) -> .(0, nil) int(0, s(y)) -> .(0, int(s(0), s(y))) int(s(x), 0) -> nil int(s(x), s(y)) -> int_list(int(x, y)) int_list(nil) -> nil int_list(.(x, y)) -> .(s(x), int_list(y)) 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: int(0', 0') -> .(0', nil) int(0', s(y)) -> .(0', int(s(0'), s(y))) int(s(x), 0') -> nil int(s(x), s(y)) -> int_list(int(x, y)) int_list(nil) -> nil int_list(.(x, y)) -> .(s(x), int_list(y)) S is empty. Rewrite Strategy: INNERMOST ---------------------------------------- (3) SlicingProof (LOWER BOUND(ID)) Sliced the following arguments: ./0 ---------------------------------------- (4) 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: int(0', 0') -> .(nil) int(0', s(y)) -> .(int(s(0'), s(y))) int(s(x), 0') -> nil int(s(x), s(y)) -> int_list(int(x, y)) int_list(nil) -> nil int_list(.(y)) -> .(int_list(y)) S is empty. Rewrite Strategy: INNERMOST ---------------------------------------- (5) TypeInferenceProof (BOTH BOUNDS(ID, ID)) Infered types.
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