details

property	value
status	complete
benchmark	Ex16_Luc06_FR.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n064.star.cs.uiowa.edu
space	Transformed_CSR_04

run statistics

property	value
solver	AProVE21
configuration	standard
runtime (wallclock)	2.09851694107 seconds
cpu usage	5.528515351
max memory	4.78670848E8

stage attributes

key	value
output-size	2679
starexec-result	YES

output

/export/starexec/sandbox/solver/bin/starexec_run_standard /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/output/output_files -------------------------------------------------------------------------------- YES proof of /export/starexec/sandbox/benchmark/theBenchmark.xml # AProVE Commit ID: c69e44bd14796315568835c1ffa2502984884775 mhark 20210624 unpublished Termination w.r.t. Q of the given QTRS could be proven: (0) QTRS (1) QTRSRRRProof [EQUIVALENT, 39 ms] (2) QTRS (3) AAECC Innermost [EQUIVALENT, 0 ms] (4) QTRS (5) DependencyPairsProof [EQUIVALENT, 0 ms] (6) QDP (7) DependencyGraphProof [EQUIVALENT, 0 ms] (8) TRUE ---------------------------------------- (0) Obligation: Q restricted rewrite system: The TRS R consists of the following rules: f(X, X) -> f(a, n__b) b -> a b -> n__b activate(n__b) -> b activate(X) -> X Q is empty. ---------------------------------------- (1) QTRSRRRProof (EQUIVALENT) Used ordering: Quasi precedence: f_2 > [a, n__b] activate_1 > b > [a, n__b] Status: f_2: [2,1] a: multiset status n__b: multiset status b: multiset status activate_1: multiset status With this ordering the following rules can be removed by the rule removal processor [LPAR04] because they are oriented strictly: b -> a b -> n__b activate(n__b) -> b activate(X) -> X ---------------------------------------- (2) Obligation: Q restricted rewrite system: The TRS R consists of the following rules: f(X, X) -> f(a, n__b) Q is empty. ---------------------------------------- (3) AAECC Innermost (EQUIVALENT) We have applied [NOC,AAECCNOC] to switch to innermost. The TRS R 1 is none The TRS R 2 is f(X, X) -> f(a, n__b) The signature Sigma is {f_2} ---------------------------------------- (4) Obligation: Q restricted rewrite system: The TRS R consists of the following rules: f(X, X) -> f(a, n__b) The set Q consists of the following terms: f(x0, x0) ---------------------------------------- popout

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

job log

popout

actions

all output return to TRS Standard