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TRS Standard pair #487071163
details
property
value
status
complete
benchmark
PALINDROME_complete_FR.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n175.star.cs.uiowa.edu
space
Transformed_CSR_04
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
2.16269 seconds
cpu usage
5.36755
user time
5.14013
system time
0.227428
max virtual memory
1.842524E7
max residence set size
310092.0
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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty Termination w.r.t. Q of the given QTRS could be proven: (0) QTRS (1) QTRSRRRProof [EQUIVALENT, 315 ms] (2) QTRS (3) QTRSRRRProof [EQUIVALENT, 23 ms] (4) QTRS (5) RisEmptyProof [EQUIVALENT, 0 ms] (6) YES ---------------------------------------- (0) Obligation: Q restricted rewrite system: The TRS R consists of the following rules: __(__(X, Y), Z) -> __(X, __(Y, Z)) __(X, nil) -> X __(nil, X) -> X U11(tt, V) -> U12(isNeList(activate(V))) U12(tt) -> tt U21(tt, V1, V2) -> U22(isList(activate(V1)), activate(V2)) U22(tt, V2) -> U23(isList(activate(V2))) U23(tt) -> tt U31(tt, V) -> U32(isQid(activate(V))) U32(tt) -> tt U41(tt, V1, V2) -> U42(isList(activate(V1)), activate(V2)) U42(tt, V2) -> U43(isNeList(activate(V2))) U43(tt) -> tt U51(tt, V1, V2) -> U52(isNeList(activate(V1)), activate(V2)) U52(tt, V2) -> U53(isList(activate(V2))) U53(tt) -> tt U61(tt, V) -> U62(isQid(activate(V))) U62(tt) -> tt U71(tt, V) -> U72(isNePal(activate(V))) U72(tt) -> tt and(tt, X) -> activate(X) isList(V) -> U11(isPalListKind(activate(V)), activate(V)) isList(n__nil) -> tt isList(n____(V1, V2)) -> U21(and(isPalListKind(activate(V1)), n__isPalListKind(activate(V2))), activate(V1), activate(V2)) isNeList(V) -> U31(isPalListKind(activate(V)), activate(V)) isNeList(n____(V1, V2)) -> U41(and(isPalListKind(activate(V1)), n__isPalListKind(activate(V2))), activate(V1), activate(V2)) isNeList(n____(V1, V2)) -> U51(and(isPalListKind(activate(V1)), n__isPalListKind(activate(V2))), activate(V1), activate(V2)) isNePal(V) -> U61(isPalListKind(activate(V)), activate(V)) isNePal(n____(I, n____(P, I))) -> and(and(isQid(activate(I)), n__isPalListKind(activate(I))), n__and(n__isPal(activate(P)), n__isPalListKind(activate(P)))) isPal(V) -> U71(isPalListKind(activate(V)), activate(V)) isPal(n__nil) -> tt isPalListKind(n__a) -> tt isPalListKind(n__e) -> tt isPalListKind(n__i) -> tt isPalListKind(n__nil) -> tt isPalListKind(n__o) -> tt isPalListKind(n__u) -> tt isPalListKind(n____(V1, V2)) -> and(isPalListKind(activate(V1)), n__isPalListKind(activate(V2))) isQid(n__a) -> tt isQid(n__e) -> tt isQid(n__i) -> tt isQid(n__o) -> tt isQid(n__u) -> tt nil -> n__nil __(X1, X2) -> n____(X1, X2) isPalListKind(X) -> n__isPalListKind(X) and(X1, X2) -> n__and(X1, X2) isPal(X) -> n__isPal(X) a -> n__a e -> n__e i -> n__i o -> n__o u -> n__u activate(n__nil) -> nil activate(n____(X1, X2)) -> __(activate(X1), activate(X2)) activate(n__isPalListKind(X)) -> isPalListKind(X) activate(n__and(X1, X2)) -> and(activate(X1), X2) activate(n__isPal(X)) -> isPal(X) activate(n__a) -> a activate(n__e) -> e activate(n__i) -> i activate(n__o) -> o activate(n__u) -> u activate(X) -> X Q is empty. ---------------------------------------- (1) QTRSRRRProof (EQUIVALENT) Used ordering: __/2(YES,YES) nil/0) U11/2(YES,YES) tt/0) U12/1)YES( isNeList/1(YES)
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