details

property	value
status	complete
benchmark	Ex23_Luc06.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n144.star.cs.uiowa.edu
space	CSR_04

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	1.39573788643 seconds
cpu usage	2.916874361
max memory	1.99380992E8

stage attributes

key	value
output-size	1687
starexec-result	YES

output

/export/starexec/sandbox2/solver/bin/starexec_run_standard /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files -------------------------------------------------------------------------------- YES proof of /export/starexec/sandbox2/benchmark/theBenchmark.xml # AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty Termination of the given CSR could be proven: (0) CSR (1) CSRRRRProof [EQUIVALENT, 42 ms] (2) CSR (3) RisEmptyProof [EQUIVALENT, 0 ms] (4) YES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)) -> c(f(g(f(a)))) The replacement map contains the following entries: f: {1} a: empty set c: 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)) -> c(f(g(f(a)))) The replacement map contains the following entries: f: {1} a: empty set c: empty set g: {1} Used ordering: Polynomial interpretation [POLO]: POL(a) = 2 POL(c(x_1)) = 0 POL(f(x_1)) = 2*x_1 POL(g(x_1)) = 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)) -> c(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

popout

actions

all output return to TRS Context Sensitive