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TRS Context Sensitive pair #516978819
details
property
value
status
complete
benchmark
Ex1_GM99.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n083.star.cs.uiowa.edu
space
CSR_04
run statistics
property
value
solver
AProVE21
configuration
standard
runtime (wallclock)
1.89222383499 seconds
cpu usage
4.962142056
max memory
4.75766784E8
stage attributes
key
value
output-size
4043
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# AProVE Commit ID: c69e44bd14796315568835c1ffa2502984884775 mhark 20210624 unpublished Termination of the given CSR could be proven: (0) CSR (1) CSRRRRProof [EQUIVALENT, 57 ms] (2) CSR (3) CSRRRRProof [EQUIVALENT, 0 ms] (4) CSR (5) CSRInnermostProof [EQUIVALENT, 0 ms] (6) CSR (7) CSDependencyPairsProof [EQUIVALENT, 0 ms] (8) QCSDP (9) QCSDependencyGraphProof [EQUIVALENT, 0 ms] (10) TRUE ---------------------------------------- (0) Obligation: Context-sensitive rewrite system: The TRS R consists of the following rules: f(a, b, X) -> f(X, X, X) c -> a c -> b The replacement map contains the following entries: f: {3} a: empty set b: empty set c: empty set ---------------------------------------- (1) CSRRRRProof (EQUIVALENT) The following CSR is given: Context-sensitive rewrite system: The TRS R consists of the following rules: f(a, b, X) -> f(X, X, X) c -> a c -> b The replacement map contains the following entries: f: {3} a: empty set b: empty set c: empty set Used ordering: Polynomial interpretation [POLO]: POL(a) = 0 POL(b) = 1 POL(c) = 1 POL(f(x_1, x_2, x_3)) = x_3 With this ordering the following rules can be removed by the rule removal processor [LPAR04] because they are oriented strictly: c -> a ---------------------------------------- (2) Obligation: Context-sensitive rewrite system: The TRS R consists of the following rules: f(a, b, X) -> f(X, X, X) c -> b The replacement map contains the following entries: f: {3} a: empty set b: empty set c: empty set ---------------------------------------- (3) CSRRRRProof (EQUIVALENT) The following CSR is given: Context-sensitive rewrite system: The TRS R consists of the following rules: f(a, b, X) -> f(X, X, X) c -> b
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