details

property	value
status	complete
benchmark	Ex15_Luc06_Z.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n150.star.cs.uiowa.edu
space	Transformed_CSR_04

run statistics

property	value
solver	AProVE
configuration	complexity
runtime (wallclock)	1.61867 seconds
cpu usage	3.47396
user time	3.29261
system time	0.181344
max virtual memory	1.8275312E7
max residence set size	217520.0

stage attributes

key	value
starexec-result	WORST_CASE(?, O(1))

output

WORST_CASE(?, O(1)) proof of /export/starexec/sandbox/benchmark/theBenchmark.xml # AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty The Runtime Complexity (innermost) of the given CpxTRS could be proven to be BOUNDS(1, 1). (0) CpxTRS (1) NarrowingOnBasicTermsTerminatesProof [FINISHED, 0 ms] (2) BOUNDS(1, 1) ---------------------------------------- (0) Obligation: The Runtime Complexity (innermost) of the given CpxTRS could be proven to be BOUNDS(1, 1). The TRS R consists of the following rules: f(n__f(n__a)) -> f(n__g(f(n__a))) f(X) -> n__f(X) a -> n__a g(X) -> n__g(X) activate(n__f(X)) -> f(X) activate(n__a) -> a activate(n__g(X)) -> g(X) activate(X) -> X S is empty. Rewrite Strategy: INNERMOST ---------------------------------------- (1) NarrowingOnBasicTermsTerminatesProof (FINISHED) Constant runtime complexity proven by termination of constructor-based narrowing. The maximal most general narrowing sequences give rise to the following rewrite sequences: activate(n__g(x0)) ->^* n__g(x0) activate(n__a) ->^* n__a activate(n__f(x0)) ->^* n__f(x0) activate(n__f(n__f(n__a))) ->^* n__f(n__g(n__f(n__a))) g(x0) ->^* n__g(x0) a ->^* n__a f(x0) ->^* n__f(x0) f(n__f(n__a)) ->^* n__f(n__g(n__f(n__a))) ---------------------------------------- (2) BOUNDS(1, 1) popout

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

job log

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actions

all output return to Runtime Complexity: TRS Innermost