details

property	value
status	complete
benchmark	Ex3_3_25_Bor03_L.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n033.star.cs.uiowa.edu
space	Transformed_CSR_04

run statistics

property	value
solver	AProVE
configuration	complexity
runtime (wallclock)	1.51703119278 seconds
cpu usage	3.261397702
max memory	2.07806464E8

stage attributes

key	value
output-size	1594
starexec-result	WORST_CASE(?, O(1))

output

/export/starexec/sandbox2/solver/bin/starexec_run_complexity /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files -------------------------------------------------------------------------------- WORST_CASE(?, O(1)) 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# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty The Runtime Complexity (full) of the given CpxTRS could be proven to be BOUNDS(1, 1). (0) CpxTRS (1) NarrowingOnBasicTermsTerminatesProof [FINISHED, 0 ms] (2) BOUNDS(1, 1) ---------------------------------------- (0) Obligation: The Runtime Complexity (full) of the given CpxTRS could be proven to be BOUNDS(1, 1). The TRS R consists of the following rules: app(nil, YS) -> YS app(cons(X), YS) -> cons(X) from(X) -> cons(X) zWadr(nil, YS) -> nil zWadr(XS, nil) -> nil zWadr(cons(X), cons(Y)) -> cons(app(Y, cons(X))) prefix(L) -> cons(nil) S is empty. Rewrite Strategy: FULL ---------------------------------------- (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: from(x0) ->^* cons(x0) prefix(x0) ->^* cons(nil) app(cons(x0), x1) ->^* cons(x0) zWadr(cons(x0), cons(cons(x1))) ->^* cons(cons(x1)) zWadr(cons(x0), cons(nil)) ->^* cons(cons(x0)) zWadr(x0, nil) ->^* nil zWadr(nil, x0) ->^* nil ---------------------------------------- (2) BOUNDS(1, 1) popout

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job log

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actions

all output return to Runti Compl Full Rewri 10127