details

property	value
status	complete
benchmark	Ex6_Luc98.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n166.star.cs.uiowa.edu
space	CSR_04

run statistics

property	value
solver	AProVE21
configuration	standard
runtime (wallclock)	1.89484810829 seconds
cpu usage	4.53846548
max memory	4.70667264E8

stage attributes

key	value
output-size	2052
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# AProVE Commit ID: c69e44bd14796315568835c1ffa2502984884775 mhark 20210624 unpublished Termination of the given CSR could be proven: (0) CSR (1) CSRRRRProof [EQUIVALENT, 40 ms] (2) CSR (3) RisEmptyProof [EQUIVALENT, 0 ms] (4) YES ---------------------------------------- (0) Obligation: Context-sensitive rewrite system: The TRS R consists of the following rules: first(0, X) -> nil first(s(X), cons(Y, Z)) -> cons(Y, first(X, Z)) from(X) -> cons(X, from(s(X))) The replacement map contains the following entries: first: {1, 2} 0: empty set nil: empty set s: {1} cons: {1} from: {1} ---------------------------------------- (1) CSRRRRProof (EQUIVALENT) The following CSR is given: Context-sensitive rewrite system: The TRS R consists of the following rules: first(0, X) -> nil first(s(X), cons(Y, Z)) -> cons(Y, first(X, Z)) from(X) -> cons(X, from(s(X))) The replacement map contains the following entries: first: {1, 2} 0: empty set nil: empty set s: {1} cons: {1} from: {1} Used ordering: Polynomial interpretation [POLO]: POL(0) = 1 POL(cons(x_1, x_2)) = x_1 POL(first(x_1, x_2)) = 2 + 2*x_1 + x_2 POL(from(x_1)) = 1 + x_1 POL(nil) = 0 POL(s(x_1)) = 2 + x_1 With this ordering the following rules can be removed by the rule removal processor [LPAR04] because they are oriented strictly: first(0, X) -> nil first(s(X), cons(Y, Z)) -> cons(Y, first(X, Z)) from(X) -> cons(X, from(s(X))) ---------------------------------------- (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 Context Sensitive