details

property	value
status	complete
benchmark	PALINDROME_complete-noand_Z.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	Transformed_CSR_04

run statistics

property	value
solver	AProVE
configuration	complexity
runtime (wallclock)	291.651 seconds
cpu usage	316.845
user time	314.73
system time	2.11472
max virtual memory	1.8279408E7
max residence set size	5434820.0

stage attributes

key	value
starexec-result	WORST_CASE(Omega(n^1), ?)

output

WORST_CASE(Omega(n^1), ?) proof of /export/starexec/sandbox/benchmark/theBenchmark.xml # AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty The Runtime Complexity (full) of the given CpxTRS could be proven to be BOUNDS(n^1, INF). (0) CpxTRS (1) RenamingProof [BOTH BOUNDS(ID, ID), 0 ms] (2) CpxTRS (3) TypeInferenceProof [BOTH BOUNDS(ID, ID), 0 ms] (4) typed CpxTrs (5) OrderProof [LOWER BOUND(ID), 0 ms] (6) typed CpxTrs (7) RewriteLemmaProof [LOWER BOUND(ID), 777 ms] (8) BEST (9) proven lower bound (10) LowerBoundPropagationProof [FINISHED, 0 ms] (11) BOUNDS(n^1, INF) (12) typed CpxTrs ---------------------------------------- (0) Obligation: The Runtime Complexity (full) of the given CpxTRS could be proven to be BOUNDS(n^1, INF). The TRS R consists of the following rules: __(__(X, Y), Z) -> __(X, __(Y, Z)) __(X, nil) -> X __(nil, X) -> X U11(tt, V) -> U12(isPalListKind(activate(V)), activate(V)) U12(tt, V) -> U13(isNeList(activate(V))) U13(tt) -> tt U21(tt, V1, V2) -> U22(isPalListKind(activate(V1)), activate(V1), activate(V2)) U22(tt, V1, V2) -> U23(isPalListKind(activate(V2)), activate(V1), activate(V2)) U23(tt, V1, V2) -> U24(isPalListKind(activate(V2)), activate(V1), activate(V2)) U24(tt, V1, V2) -> U25(isList(activate(V1)), activate(V2)) U25(tt, V2) -> U26(isList(activate(V2))) U26(tt) -> tt U31(tt, V) -> U32(isPalListKind(activate(V)), activate(V)) U32(tt, V) -> U33(isQid(activate(V))) U33(tt) -> tt U41(tt, V1, V2) -> U42(isPalListKind(activate(V1)), activate(V1), activate(V2)) U42(tt, V1, V2) -> U43(isPalListKind(activate(V2)), activate(V1), activate(V2)) U43(tt, V1, V2) -> U44(isPalListKind(activate(V2)), activate(V1), activate(V2)) U44(tt, V1, V2) -> U45(isList(activate(V1)), activate(V2)) U45(tt, V2) -> U46(isNeList(activate(V2))) U46(tt) -> tt U51(tt, V1, V2) -> U52(isPalListKind(activate(V1)), activate(V1), activate(V2)) U52(tt, V1, V2) -> U53(isPalListKind(activate(V2)), activate(V1), activate(V2)) U53(tt, V1, V2) -> U54(isPalListKind(activate(V2)), activate(V1), activate(V2)) U54(tt, V1, V2) -> U55(isNeList(activate(V1)), activate(V2)) U55(tt, V2) -> U56(isList(activate(V2))) U56(tt) -> tt U61(tt, V) -> U62(isPalListKind(activate(V)), activate(V)) U62(tt, V) -> U63(isQid(activate(V))) U63(tt) -> tt U71(tt, I, P) -> U72(isPalListKind(activate(I)), activate(P)) U72(tt, P) -> U73(isPal(activate(P)), activate(P)) U73(tt, P) -> U74(isPalListKind(activate(P))) U74(tt) -> tt U81(tt, V) -> U82(isPalListKind(activate(V)), activate(V)) U82(tt, V) -> U83(isNePal(activate(V))) U83(tt) -> tt U91(tt, V2) -> U92(isPalListKind(activate(V2))) U92(tt) -> tt isList(V) -> U11(isPalListKind(activate(V)), activate(V)) isList(n__nil) -> tt isList(n____(V1, V2)) -> U21(isPalListKind(activate(V1)), activate(V1), activate(V2)) isNeList(V) -> U31(isPalListKind(activate(V)), activate(V)) isNeList(n____(V1, V2)) -> U41(isPalListKind(activate(V1)), activate(V1), activate(V2)) isNeList(n____(V1, V2)) -> U51(isPalListKind(activate(V1)), activate(V1), activate(V2)) isNePal(V) -> U61(isPalListKind(activate(V)), activate(V)) isNePal(n____(I, __(P, I))) -> U71(isQid(activate(I)), activate(I), activate(P)) isPal(V) -> U81(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)) -> U91(isPalListKind(activate(V1)), 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) a -> n__a e -> n__e i -> n__i o -> n__o u -> n__u activate(n__nil) -> nil popout

output may be truncated. 'popout' for the full output.

job log

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actions

all output return to Runtime Complexity: TRS