details

property	value
status	complete
benchmark	Ex16_Luc06.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n061.star.cs.uiowa.edu
space	CSR_04

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	1.39283 seconds
cpu usage	3.1525
user time	3.00115
system time	0.151355
max virtual memory	1.8407068E7
max residence set size	210000.0

stage attributes

key	value
starexec-result	YES

output

3.02/1.35 YES 3.02/1.36 proof of /export/starexec/sandbox/benchmark/theBenchmark.xml 3.02/1.36 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 3.02/1.36 3.02/1.36 3.02/1.36 Termination of the given CSR could be proven: 3.02/1.36 3.02/1.36 (0) CSR 3.02/1.36 (1) CSRRRRProof [EQUIVALENT, 71 ms] 3.02/1.36 (2) CSR 3.02/1.36 (3) CSDependencyPairsProof [EQUIVALENT, 0 ms] 3.02/1.36 (4) QCSDP 3.02/1.36 (5) QCSDependencyGraphProof [EQUIVALENT, 0 ms] 3.02/1.36 (6) TRUE 3.02/1.36 3.02/1.36 3.02/1.36 ---------------------------------------- 3.02/1.36 3.02/1.36 (0) 3.02/1.36 Obligation: 3.02/1.36 Context-sensitive rewrite system: 3.02/1.36 The TRS R consists of the following rules: 3.02/1.36 3.02/1.36 f(X, X) -> f(a, b) 3.02/1.36 b -> a 3.02/1.36 3.02/1.36 The replacement map contains the following entries: 3.02/1.36 3.02/1.36 f: {1} 3.02/1.36 a: empty set 3.02/1.36 b: empty set 3.02/1.36 3.02/1.36 ---------------------------------------- 3.02/1.36 3.02/1.36 (1) CSRRRRProof (EQUIVALENT) 3.02/1.36 The following CSR is given: Context-sensitive rewrite system: 3.02/1.36 The TRS R consists of the following rules: 3.02/1.36 3.02/1.36 f(X, X) -> f(a, b) 3.02/1.36 b -> a 3.02/1.36 3.02/1.36 The replacement map contains the following entries: 3.02/1.36 3.02/1.36 f: {1} 3.02/1.36 a: empty set 3.02/1.36 b: empty set 3.02/1.36 Used ordering: 3.02/1.36 Polynomial interpretation [POLO]: 3.02/1.36 3.02/1.36 POL(a) = 0 3.02/1.36 POL(b) = 2 3.02/1.36 POL(f(x_1, x_2)) = x_1 3.02/1.36 With this ordering the following rules can be removed by the rule removal processor [LPAR04] because they are oriented strictly: 3.02/1.36 3.02/1.36 b -> a 3.02/1.36 3.02/1.36 3.02/1.36 3.02/1.36 3.02/1.36 ---------------------------------------- 3.02/1.36 3.02/1.36 (2) 3.02/1.36 Obligation: 3.02/1.36 Context-sensitive rewrite system: 3.02/1.36 The TRS R consists of the following rules: 3.02/1.36 3.02/1.36 f(X, X) -> f(a, b) 3.02/1.36 3.02/1.36 The replacement map contains the following entries: 3.02/1.36 3.02/1.36 f: {1} 3.02/1.36 a: empty set 3.02/1.36 b: empty set 3.02/1.36 3.02/1.36 ---------------------------------------- 3.02/1.36 3.02/1.36 (3) CSDependencyPairsProof (EQUIVALENT) 3.02/1.36 Using Improved CS-DPs [LPAR08] we result in the following initial Q-CSDP problem. 3.02/1.36 ---------------------------------------- 3.02/1.36 3.02/1.36 (4) 3.02/1.36 Obligation: 3.02/1.36 Q-restricted context-sensitive dependency pair problem: 3.02/1.36 For all symbols f in {f_2, F_2} we have mu(f) = {1}. 3.02/1.36 3.02/1.36 The ordinary context-sensitive dependency pairs DP_o are: 3.02/1.36 F(X, X) -> F(a, b) 3.02/1.36 3.02/1.36 The TRS R consists of the following rules: 3.02/1.36 3.02/1.36 f(X, X) -> f(a, b) 3.02/1.36 3.02/1.36 Q is empty. 3.02/1.36 3.02/1.36 ---------------------------------------- 3.02/1.36 3.02/1.36 (5) QCSDependencyGraphProof (EQUIVALENT) 3.02/1.36 The approximation of the Context-Sensitive Dependency Graph [LPAR08] contains 0 SCCs. 3.02/1.36 The rules F(z0, z0) -> F(a, b) and F(x0, x0) -> F(a, b) form no chain, because ECap^mu(F(a, b)) = F(a, b) does not unify with F(x0, x0). 3.02/1.36 ---------------------------------------- popout

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all output return to TRS_Contextsensitive 2019-03-21 05.07