details

property	value
status	complete
benchmark	z18.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n051.star.cs.uiowa.edu
space	Zantema_05

run statistics

property	value
solver	AProVE
configuration	complexity
runtime (wallclock)	293.286340952 seconds
cpu usage	1094.14919072
max memory	1.5790784512E10

stage attributes

key	value
output-size	3713
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# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty The Runtime Complexity (innermost) of the given CpxTRS could be proven to be BOUNDS(n^1, INF).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) 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), 557 ms] (8) proven lower bound (9) LowerBoundPropagationProof [FINISHED, 0 ms] (10) BOUNDS(n^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: f(x, a(b(y))) -> a(f(a(b(x)), y)) f(a(x), y) -> f(x, a(y)) f(b(x), y) -> f(x, b(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: f(x, a(b(y))) -> a(f(a(b(x)), y)) f(a(x), y) -> f(x, a(y)) f(b(x), y) -> f(x, b(y)) S is empty. Rewrite Strategy: INNERMOST ---------------------------------------- (3) TypeInferenceProof (BOTH BOUNDS(ID, ID)) Infered types. ---------------------------------------- (4) Obligation: Innermost TRS: Rules: f(x, a(b(y))) -> a(f(a(b(x)), y)) f(a(x), y) -> f(x, a(y)) f(b(x), y) -> f(x, b(y)) Types: f :: b:a -> b:a -> b:a a :: b:a -> b:a b :: b:a -> b:a hole_b:a1_0 :: b:a gen_b:a2_0 :: Nat -> b:a ---------------------------------------- (5) OrderProof (LOWER BOUND(ID)) Heuristically decided to analyse the following defined symbols: f ---------------------------------------- (6) Obligation: Innermost TRS: Rules: f(x, a(b(y))) -> a(f(a(b(x)), y)) f(a(x), y) -> f(x, a(y)) f(b(x), y) -> f(x, b(y)) Types: f :: b:a -> b:a -> b:a a :: b:a -> b:a b :: b:a -> b:a popout

output may be truncated. 'popout' for the full output.

job log

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actions

all output return to Runti Compl Inner Rewri 22807