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TRS Context Sensitive pair #516978905
details
property
value
status
complete
benchmark
PALINDROME_nokinds-noand.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n120.star.cs.uiowa.edu
space
Maude_06
run statistics
property
value
solver
AProVE21
configuration
standard
runtime (wallclock)
2.41571593285 seconds
cpu usage
6.675354687
max memory
4.89385984E8
stage attributes
key
value
output-size
20071
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# AProVE Commit ID: c69e44bd14796315568835c1ffa2502984884775 mhark 20210624 unpublished Termination of the given CSR could be proven: (0) CSR (1) CSRRRRProof [EQUIVALENT, 103 ms] (2) CSR (3) CSRRRRProof [EQUIVALENT, 14 ms] (4) CSR (5) CSRRRRProof [EQUIVALENT, 11 ms] (6) CSR (7) CSRRRRProof [EQUIVALENT, 10 ms] (8) CSR (9) CSRRRRProof [EQUIVALENT, 0 ms] (10) CSR (11) CSRRRRProof [EQUIVALENT, 6 ms] (12) CSR (13) CSRRRRProof [EQUIVALENT, 0 ms] (14) CSR (15) CSRRRRProof [EQUIVALENT, 0 ms] (16) CSR (17) CSRRRRProof [EQUIVALENT, 0 ms] (18) CSR (19) RisEmptyProof [EQUIVALENT, 0 ms] (20) 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) -> tt U21(tt, V2) -> U22(isList(V2)) U22(tt) -> tt U31(tt) -> tt U41(tt, V2) -> U42(isNeList(V2)) U42(tt) -> tt U51(tt, V2) -> U52(isList(V2)) U52(tt) -> tt U61(tt) -> tt U71(tt, P) -> U72(isPal(P)) U72(tt) -> tt U81(tt) -> tt isList(V) -> U11(isNeList(V)) isList(nil) -> tt isList(__(V1, V2)) -> U21(isList(V1), V2) isNeList(V) -> U31(isQid(V)) isNeList(__(V1, V2)) -> U41(isList(V1), V2) isNeList(__(V1, V2)) -> U51(isNeList(V1), V2) isNePal(V) -> U61(isQid(V)) isNePal(__(I, __(P, I))) -> U71(isQid(I), P) isPal(V) -> U81(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 U11: {1} tt: empty set U21: {1} U22: {1} isList: empty set U31: {1} U41: {1} U42: {1} isNeList: empty set U51: {1} U52: {1} U61: {1} U71: {1} U72: {1} isPal: empty set U81: {1} isQid: empty set isNePal: empty set a: empty set e: empty set i: empty set o: empty set
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