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TRS Context Sensitive pair #516978911
details
property
value
status
complete
benchmark
PALINDROME_nokinds.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
Maude_06
run statistics
property
value
solver
AProVE21
configuration
standard
runtime (wallclock)
2.04536104202 seconds
cpu usage
5.434781665
max memory
4.68967424E8
stage attributes
key
value
output-size
8465
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# AProVE Commit ID: c69e44bd14796315568835c1ffa2502984884775 mhark 20210624 unpublished Termination of the given CSR could be proven: (0) CSR (1) CSRRRRProof [EQUIVALENT, 99 ms] (2) CSR (3) CSRRRRProof [EQUIVALENT, 0 ms] (4) CSR (5) CSRRRRProof [EQUIVALENT, 6 ms] (6) CSR (7) CSRRRRProof [EQUIVALENT, 0 ms] (8) CSR (9) CSRRRRProof [EQUIVALENT, 0 ms] (10) CSR (11) RisEmptyProof [EQUIVALENT, 0 ms] (12) 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 isList(V) -> isNeList(V) isList(nil) -> tt isList(__(V1, V2)) -> and(isList(V1), isList(V2)) isNeList(V) -> isQid(V) isNeList(__(V1, V2)) -> and(isList(V1), isNeList(V2)) isNeList(__(V1, V2)) -> and(isNeList(V1), isList(V2)) isNePal(V) -> isQid(V) isNePal(__(I, __(P, I))) -> and(isQid(I), isPal(P)) isPal(V) -> isNePal(V) isPal(nil) -> tt isQid(a) -> tt isQid(e) -> tt isQid(i) -> tt isQid(o) -> tt isQid(u) -> tt The replacement map contains the following entries: __: {1, 2} nil: empty set and: {1} tt: empty set isList: empty set isNeList: empty set isQid: empty set isNePal: empty set isPal: empty set a: empty set e: empty set i: empty set o: empty set u: empty set ---------------------------------------- (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 isList(V) -> isNeList(V) isList(nil) -> tt isList(__(V1, V2)) -> and(isList(V1), isList(V2)) isNeList(V) -> isQid(V) isNeList(__(V1, V2)) -> and(isList(V1), isNeList(V2)) isNeList(__(V1, V2)) -> and(isNeList(V1), isList(V2)) isNePal(V) -> isQid(V) isNePal(__(I, __(P, I))) -> and(isQid(I), isPal(P)) isPal(V) -> isNePal(V) isPal(nil) -> tt isQid(a) -> tt isQid(e) -> tt isQid(i) -> tt isQid(o) -> tt isQid(u) -> tt The replacement map contains the following entries:
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