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TRS Context Sensitive pair #516978893
details
property
value
status
complete
benchmark
PALINDROME_nosorts.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n007.star.cs.uiowa.edu
space
Maude_06
run statistics
property
value
solver
AProVE21
configuration
standard
runtime (wallclock)
1.9891269207 seconds
cpu usage
4.893260585
max memory
4.75230208E8
stage attributes
key
value
output-size
2987
starexec-result
YES
output
/export/starexec/sandbox2/solver/bin/starexec_run_standard /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files -------------------------------------------------------------------------------- YES proof of /export/starexec/sandbox2/benchmark/theBenchmark.xml # AProVE Commit ID: c69e44bd14796315568835c1ffa2502984884775 mhark 20210624 unpublished Termination of the given CSR could be proven: (0) CSR (1) CSRRRRProof [EQUIVALENT, 80 ms] (2) CSR (3) CSRRRRProof [EQUIVALENT, 0 ms] (4) CSR (5) RisEmptyProof [EQUIVALENT, 0 ms] (6) YES ---------------------------------------- (0) Obligation: Context-sensitive rewrite system: The TRS R consists of the following rules: __(__(X, Y), Z) -> __(X, __(Y, Z)) __(X, nil) -> X __(nil, X) -> X and(tt, X) -> X isNePal(__(I, __(P, I))) -> tt The replacement map contains the following entries: __: {1, 2} nil: empty set and: {1} tt: empty set isNePal: {1} ---------------------------------------- (1) CSRRRRProof (EQUIVALENT) The following CSR is given: Context-sensitive rewrite system: The TRS R consists of the following rules: __(__(X, Y), Z) -> __(X, __(Y, Z)) __(X, nil) -> X __(nil, X) -> X and(tt, X) -> X isNePal(__(I, __(P, I))) -> tt The replacement map contains the following entries: __: {1, 2} nil: empty set and: {1} tt: empty set isNePal: {1} Used ordering: Polynomial interpretation [POLO]: POL(__(x_1, x_2)) = 1 + 2*x_1 + x_2 POL(and(x_1, x_2)) = 2*x_1 + x_2 POL(isNePal(x_1)) = 1 + 2*x_1 POL(nil) = 1 POL(tt) = 0 With this ordering the following rules can be removed by the rule removal processor [LPAR04] because they are oriented strictly: __(__(X, Y), Z) -> __(X, __(Y, Z)) __(X, nil) -> X __(nil, X) -> X isNePal(__(I, __(P, I))) -> tt ---------------------------------------- (2) Obligation: Context-sensitive rewrite system: The TRS R consists of the following rules: and(tt, X) -> X The replacement map contains the following entries: and: {1} tt: empty set ---------------------------------------- (3) CSRRRRProof (EQUIVALENT) The following CSR is given: Context-sensitive rewrite system: The TRS R consists of the following rules:
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