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TRS_Outermost 2019-04-01 06.45 pair #433314762
details
property
value
status
complete
benchmark
LISTUTILITIES_complete_L.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n017.star.cs.uiowa.edu
space
Strategy_outermost_added_08
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
1.35214 seconds
cpu usage
2.84764
user time
2.71301
system time
0.134633
max virtual memory
1.827324E7
max residence set size
191984.0
stage attributes
key
value
starexec-result
NO
output
2.67/1.31 NO 2.67/1.32 proof of /export/starexec/sandbox/benchmark/theBenchmark.xml 2.67/1.32 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 2.67/1.32 2.67/1.32 2.67/1.32 Outermost Termination of the given OTRS could be disproven: 2.67/1.32 2.67/1.32 (0) OTRS 2.67/1.32 (1) OutermostNonTerminationProof [COMPLETE, 94 ms] 2.67/1.32 (2) NO 2.67/1.32 2.67/1.32 2.67/1.32 ---------------------------------------- 2.67/1.32 2.67/1.32 (0) 2.67/1.32 Obligation: 2.67/1.32 Term rewrite system R: 2.67/1.32 The TRS R consists of the following rules: 2.67/1.32 2.67/1.32 U11(tt) -> snd(splitAt(N, XS)) 2.67/1.32 U161(tt) -> cons(N) 2.67/1.32 U171(tt) -> head(afterNth(N, XS)) 2.67/1.32 U181(tt) -> Y 2.67/1.32 U191(tt) -> pair(nil, XS) 2.67/1.32 U201(tt) -> U202(splitAt(N, XS)) 2.67/1.32 U202(pair(YS, ZS)) -> pair(cons(X), ZS) 2.67/1.32 U21(tt) -> X 2.67/1.32 U211(tt) -> XS 2.67/1.32 U221(tt) -> fst(splitAt(N, XS)) 2.67/1.32 U31(tt) -> N 2.67/1.32 and(tt) -> X 2.67/1.32 U101(tt) -> U102(isNatural) 2.67/1.32 U102(tt) -> U103(isLNat) 2.67/1.32 U103(tt) -> tt 2.67/1.32 U111(tt) -> U112(isLNat) 2.67/1.32 U112(tt) -> tt 2.67/1.32 U121(tt) -> U122(isNatural) 2.67/1.32 U122(tt) -> tt 2.67/1.32 U131(tt) -> U132(isNatural) 2.67/1.32 U132(tt) -> U133(isLNat) 2.67/1.32 U133(tt) -> tt 2.67/1.32 U141(tt) -> U142(isLNat) 2.67/1.32 U142(tt) -> U143(isLNat) 2.67/1.32 U143(tt) -> tt 2.67/1.32 U151(tt) -> U152(isNatural) 2.67/1.32 U152(tt) -> U153(isLNat) 2.67/1.32 U153(tt) -> tt 2.67/1.32 U41(tt) -> U42(isNatural) 2.67/1.32 U42(tt) -> U43(isLNat) 2.67/1.32 U43(tt) -> tt 2.67/1.32 U51(tt) -> U52(isNatural) 2.67/1.32 U52(tt) -> U53(isLNat) 2.67/1.32 U53(tt) -> tt 2.67/1.32 U61(tt) -> U62(isPLNat) 2.67/1.32 U62(tt) -> tt 2.67/1.32 U71(tt) -> U72(isNatural) 2.67/1.32 U72(tt) -> tt 2.67/1.32 U81(tt) -> U82(isPLNat) 2.67/1.32 U82(tt) -> tt 2.67/1.32 U91(tt) -> U92(isLNat) 2.67/1.32 U92(tt) -> tt 2.67/1.32 afterNth(N, XS) -> U11(and(and(isNatural))) 2.67/1.32 fst(pair(X, Y)) -> U21(and(and(isLNat))) 2.67/1.32 head(cons(N)) -> U31(and(and(isNatural))) 2.67/1.32 isLNat -> tt 2.67/1.32 isLNat -> U41(and(isNaturalKind)) 2.67/1.32 isLNat -> U51(and(isNaturalKind)) 2.67/1.32 isLNat -> U61(isPLNatKind) 2.67/1.32 isLNat -> U71(isNaturalKind) 2.67/1.32 isLNat -> U81(isPLNatKind) 2.67/1.32 isLNat -> U91(isLNatKind) 2.67/1.32 isLNat -> U101(and(isNaturalKind)) 2.67/1.32 isLNatKind -> tt 2.67/1.32 isLNatKind -> and(isNaturalKind) 2.67/1.32 isLNatKind -> isPLNatKind 2.67/1.32 isLNatKind -> isNaturalKind 2.67/1.32 isLNatKind -> isLNatKind 2.67/1.32 isNatural -> tt 2.67/1.32 isNatural -> U111(isLNatKind) 2.67/1.32 isNatural -> U121(isNaturalKind) 2.67/1.32 isNatural -> U131(and(isNaturalKind)) 2.67/1.32 isNaturalKind -> tt 2.67/1.32 isNaturalKind -> isLNatKind 2.67/1.32 isNaturalKind -> isNaturalKind 2.67/1.32 isNaturalKind -> and(isNaturalKind) 2.67/1.32 isPLNat -> U141(and(isLNatKind)) 2.67/1.32 isPLNat -> U151(and(isNaturalKind)) 2.67/1.32 isPLNatKind -> and(isLNatKind) 2.67/1.32 isPLNatKind -> and(isNaturalKind) 2.67/1.32 natsFrom(N) -> U161(and(isNatural)) 2.67/1.32 sel(N, XS) -> U171(and(and(isNatural))) 2.67/1.32 snd(pair(X, Y)) -> U181(and(and(isLNat))) 2.67/1.32 splitAt(0, XS) -> U191(and(isLNat)) 2.67/1.32 splitAt(s(N), cons(X)) -> U201(and(and(isNatural))) 2.67/1.32 tail(cons(N)) -> U211(and(and(isNatural))) 2.67/1.32 take(N, XS) -> U221(and(and(isNatural))) 2.67/1.32 2.67/1.32 2.67/1.32 2.67/1.32 Outermost Strategy.
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