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TRS Contextsensitive pair #487092609
details
property
value
status
complete
benchmark
PALINDROME_nosorts-noand.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n144.star.cs.uiowa.edu
space
Maude_06
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
1.53276 seconds
cpu usage
3.07772
user time
2.93223
system time
0.145489
max virtual memory
1.8407092E7
max residence set size
205412.0
stage attributes
key
value
starexec-result
YES
output
YES proof of /export/starexec/sandbox2/benchmark/theBenchmark.xml # AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty Termination of the given CSR could be proven: (0) CSR (1) CSRRRRProof [EQUIVALENT, 53 ms] (2) CSR (3) CSRRRRProof [EQUIVALENT, 9 ms] (4) CSR (5)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 U11(tt) -> U12(tt) U12(tt) -> tt isNePal(__(I, __(P, I))) -> U11(tt) The replacement map contains the following entries: __: {1, 2} nil: empty set U11: {1} tt: empty set U12: {1} 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 U11(tt) -> U12(tt) U12(tt) -> tt isNePal(__(I, __(P, I))) -> U11(tt) The replacement map contains the following entries: __: {1, 2} nil: empty set U11: {1} tt: empty set U12: {1} isNePal: {1} Used ordering: Polynomial interpretation [POLO]: POL(U11(x_1)) = x_1 POL(U12(x_1)) = x_1 POL(__(x_1, x_2)) = x_1 + x_2 POL(isNePal(x_1)) = 1 + x_1 POL(nil) = 1 POL(tt) = 1 With this ordering the following rules can be removed by the rule removal processor [LPAR04] because they are oriented strictly: __(X, nil) -> X __(nil, X) -> X ---------------------------------------- (2) Obligation: Context-sensitive rewrite system: The TRS R consists of the following rules: __(__(X, Y), Z) -> __(X, __(Y, Z)) U11(tt) -> U12(tt) U12(tt) -> tt isNePal(__(I, __(P, I))) -> U11(tt) The replacement map contains the following entries: __: {1, 2} U11: {1} tt: empty set U12: {1} isNePal: {1} ---------------------------------------- (3) CSRRRRProof (EQUIVALENT)
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