details

property	value
status	complete
benchmark	Ex4_4_Luc96b.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n066.star.cs.uiowa.edu
space	CSR_04

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	1.38874 seconds
cpu usage	2.92715
user time	2.80255
system time	0.124596
max virtual memory	1.827324E7
max residence set size	198836.0

stage attributes

key	value
starexec-result	YES

output

2.72/1.29 YES 2.72/1.30 proof of /export/starexec/sandbox/benchmark/theBenchmark.xml 2.72/1.30 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 2.72/1.30 2.72/1.30 2.72/1.30 Termination of the given CSR could be proven: 2.72/1.30 2.72/1.30 (0) CSR 2.72/1.30 (1) CSRRRRProof [EQUIVALENT, 0 ms] 2.72/1.30 (2) CSR 2.72/1.30 (3) RisEmptyProof [EQUIVALENT, 0 ms] 2.72/1.30 (4) YES 2.72/1.30 2.72/1.30 2.72/1.30 ---------------------------------------- 2.72/1.30 2.72/1.30 (0) 2.72/1.30 Obligation: 2.72/1.30 Context-sensitive rewrite system: 2.72/1.30 The TRS R consists of the following rules: 2.72/1.30 2.72/1.30 f(g(X), Y) -> f(X, f(g(X), Y)) 2.72/1.30 2.72/1.30 The replacement map contains the following entries: 2.72/1.30 2.72/1.30 f: {1} 2.72/1.30 g: {1} 2.72/1.30 2.72/1.30 ---------------------------------------- 2.72/1.30 2.72/1.30 (1) CSRRRRProof (EQUIVALENT) 2.72/1.30 The following CSR is given: Context-sensitive rewrite system: 2.72/1.30 The TRS R consists of the following rules: 2.72/1.30 2.72/1.30 f(g(X), Y) -> f(X, f(g(X), Y)) 2.72/1.30 2.72/1.30 The replacement map contains the following entries: 2.72/1.30 2.72/1.30 f: {1} 2.72/1.30 g: {1} 2.72/1.30 Used ordering: 2.72/1.30 Polynomial interpretation [POLO]: 2.72/1.30 2.72/1.30 POL(f(x_1, x_2)) = x_1 2.72/1.30 POL(g(x_1)) = 1 + x_1 2.72/1.30 With this ordering the following rules can be removed by the rule removal processor [LPAR04] because they are oriented strictly: 2.72/1.30 2.72/1.30 f(g(X), Y) -> f(X, f(g(X), Y)) 2.72/1.30 2.72/1.30 2.72/1.30 2.72/1.30 2.72/1.30 ---------------------------------------- 2.72/1.30 2.72/1.30 (2) 2.72/1.30 Obligation: 2.72/1.30 Context-sensitive rewrite system: 2.72/1.30 R is empty. 2.72/1.30 2.72/1.30 ---------------------------------------- 2.72/1.30 2.72/1.30 (3) RisEmptyProof (EQUIVALENT) 2.72/1.30 The CSR R is empty. Hence, termination is trivially proven. 2.72/1.30 ---------------------------------------- 2.72/1.30 2.72/1.30 (4) 2.72/1.30 YES 2.92/1.38 EOF popout

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

job log

popout

actions

all output return to TRS_Contextsensitive 2019-03-21 05.07