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TRS Conte Sensi 17651 pair #381733373
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
n093.star.cs.uiowa.edu
space
CSR_04
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
1.41392612457 seconds
cpu usage
3.178700448
max memory
1.62185216E8
stage attributes
key
value
output-size
2512
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# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty Termination of the given CSR could be proven: (0) CSR (1) CSRRRRProof [EQUIVALENT, 39 ms] (2) CSR (3) CSDependencyPairsProof [EQUIVALENT, 0 ms] (4) QCSDP (5) QCSDependencyGraphProof [EQUIVALENT, 0 ms] (6) TRUE ---------------------------------------- (0) Obligation: Context-sensitive rewrite system: The TRS R consists of the following rules: f(X, X) -> f(a, b) b -> a The replacement map contains the following entries: f: {1} a: empty set b: empty set ---------------------------------------- (1) CSRRRRProof (EQUIVALENT) The following CSR is given: Context-sensitive rewrite system: The TRS R consists of the following rules: f(X, X) -> f(a, b) b -> a The replacement map contains the following entries: f: {1} a: empty set b: empty set Used ordering: Polynomial interpretation [POLO]: POL(a) = 0 POL(b) = 1 POL(f(x_1, x_2)) = x_1 With this ordering the following rules can be removed by the rule removal processor [LPAR04] because they are oriented strictly: b -> a ---------------------------------------- (2) Obligation: Context-sensitive rewrite system: The TRS R consists of the following rules: f(X, X) -> f(a, b) The replacement map contains the following entries: f: {1} a: empty set b: empty set ---------------------------------------- (3) CSDependencyPairsProof (EQUIVALENT) Using Improved CS-DPs [LPAR08] we result in the following initial Q-CSDP problem. ---------------------------------------- (4) Obligation: Q-restricted context-sensitive dependency pair problem: For all symbols f in {f_2, F_2} we have mu(f) = {1}. The ordinary context-sensitive dependency pairs DP_o are: F(X, X) -> F(a, b) The TRS R consists of the following rules: f(X, X) -> f(a, b) Q is empty.
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