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TRS Conte Sensi 17651 pair #381733227
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
n050.star.cs.uiowa.edu
space
Maude_06
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
1.56229496002 seconds
cpu usage
3.610049989
max memory
1.85810944E8
stage attributes
key
value
output-size
7614
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# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty Termination of the given CSR could be proven: (0) CSR (1) CSRRRRProof [EQUIVALENT, 73 ms] (2) CSR (3) CSRRRRProof [EQUIVALENT, 3 ms] (4) CSR (5) CSRRRRProof [EQUIVALENT, 0 ms] (6) CSR (7) CSRRRRProof [EQUIVALENT, 0 ms] (8) CSR (9) RisEmptyProof [EQUIVALENT, 0 ms] (10) 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: __: {1, 2} nil: empty set
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