details

property	value
status	complete
benchmark	Ex15_Luc06.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n111.star.cs.uiowa.edu
space	CSR_04

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	1.41734099388 seconds
cpu usage	3.056973832
max memory	1.62082816E8

stage attributes

key	value
output-size	1780
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# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty Termination of the given CSR could be proven: (0) CSR (1) CSRRRRProof [EQUIVALENT, 59 ms] (2) CSR (3) RisEmptyProof [EQUIVALENT, 0 ms] (4) YES ---------------------------------------- (0) Obligation: Context-sensitive rewrite system: The TRS R consists of the following rules: f(f(a)) -> f(g(f(a))) The replacement map contains the following entries: f: empty set a: empty set g: {1} ---------------------------------------- (1) CSRRRRProof (EQUIVALENT) The following CSR is given: Context-sensitive rewrite system: The TRS R consists of the following rules: f(f(a)) -> f(g(f(a))) The replacement map contains the following entries: f: empty set a: empty set g: {1} Used ordering: Matrix interpretation [MATRO] to (N^2, +, *, >=, >) : <<< POL(f(x_1)) = [[0], [1]] + [[1, 1], [0, 0]] * x_1 >>> <<< POL(a) = [[0], [0]] >>> <<< POL(g(x_1)) = [[0], [0]] + [[1, 0], [1, 0]] * x_1 >>> With this ordering the following rules can be removed by the rule removal processor [LPAR04] because they are oriented strictly: f(f(a)) -> f(g(f(a))) ---------------------------------------- (2) Obligation: Context-sensitive rewrite system: R is empty. ---------------------------------------- (3) RisEmptyProof (EQUIVALENT) The CSR R is empty. Hence, termination is trivially proven. ---------------------------------------- (4) YES popout

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

job log

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actions

all output return to TRS Conte Sensi 17651