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TRS Conte Sensi 17651 pair #381733237
details
property
value
status
complete
benchmark
Ex9_Luc04.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n014.star.cs.uiowa.edu
space
CSR_04
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
1.43782401085 seconds
cpu usage
3.341922661
max memory
1.7231872E8
stage attributes
key
value
output-size
2221
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# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty Termination of the given CSR could be proven: (0) CSR (1) CSDependencyPairsProof [EQUIVALENT, 0 ms] (2) QCSDP (3) QCSDPForwardInstantiationProcessor [EQUIVALENT, 0 ms] (4) QCSDP (5) PIsEmptyProof [EQUIVALENT, 0 ms] (6) YES ---------------------------------------- (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: {1, 3} a: empty set b: empty set c: empty set ---------------------------------------- (1) CSDependencyPairsProof (EQUIVALENT) Using Improved CS-DPs [LPAR08] we result in the following initial Q-CSDP problem. ---------------------------------------- (2) Obligation: Q-restricted context-sensitive dependency pair problem: For all symbols f in {f_3, F_3} we have mu(f) = {1, 3}. The ordinary context-sensitive dependency pairs DP_o are: F(a, b, X) -> F(X, X, X) The TRS R consists of the following rules: f(a, b, X) -> f(X, X, X) c -> a c -> b Q is empty. ---------------------------------------- (3) QCSDPForwardInstantiationProcessor (EQUIVALENT) Using the Context-Sensitive Forward Instantiation[DA_EMMES] Processor the pair F(a, b, X) -> F(X, X, X) was transformed to the following new pairs: F(a, b, b) -> F(b, b, b) ---------------------------------------- (4) Obligation: Q-restricted context-sensitive dependency pair problem: For all symbols f in {f_3} we have mu(f) = {1, 3}. The TRS P consists of the following rules: none The TRS R consists of the following rules: f(a, b, X) -> f(X, X, X) c -> a c -> b Q is empty. ---------------------------------------- (5) PIsEmptyProof (EQUIVALENT) The TRS P is empty. Hence, there is no (P,Q,R,mu)-chain. ---------------------------------------- (6) YES
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