details

property	value
status	complete
benchmark	LengthOfFiniteLists_nokinds_GM.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n070.star.cs.uiowa.edu
space	Transformed_CSR_04

run statistics

property	value
solver	muterm 6.0.3
configuration	default
runtime (wallclock)	0.316075 seconds
cpu usage	0.295194
user time	0.237444
system time	0.05775
max virtual memory	113188.0
max residence set size	9388.0

stage attributes

key	value
starexec-result	YES

output

YES Problem 1: (VAR v_NonEmpty:S L:S N:S V:S V1:S V2:S X:S X1:S X2:S) (RULES a__U11(tt,L:S) -> s(a__length(mark(L:S))) a__U11(X1:S,X2:S) -> U11(X1:S,X2:S) a__and(tt,X:S) -> mark(X:S) a__and(X1:S,X2:S) -> and(X1:S,X2:S) a__isNat(0) -> tt a__isNat(length(V1:S)) -> a__isNatList(V1:S) a__isNat(s(V1:S)) -> a__isNat(V1:S) a__isNat(X:S) -> isNat(X:S) a__isNatIList(cons(V1:S,V2:S)) -> a__and(a__isNat(V1:S),isNatIList(V2:S)) a__isNatIList(zeros) -> tt a__isNatIList(V:S) -> a__isNatList(V:S) a__isNatIList(X:S) -> isNatIList(X:S) a__isNatList(cons(V1:S,V2:S)) -> a__and(a__isNat(V1:S),isNatList(V2:S)) a__isNatList(nil) -> tt a__isNatList(X:S) -> isNatList(X:S) a__length(cons(N:S,L:S)) -> a__U11(a__and(a__isNatList(L:S),isNat(N:S)),L:S) a__length(nil) -> 0 a__length(X:S) -> length(X:S) a__zeros -> cons(0,zeros) a__zeros -> zeros mark(0) -> 0 mark(U11(X1:S,X2:S)) -> a__U11(mark(X1:S),X2:S) mark(and(X1:S,X2:S)) -> a__and(mark(X1:S),X2:S) mark(cons(X1:S,X2:S)) -> cons(mark(X1:S),X2:S) mark(isNat(X:S)) -> a__isNat(X:S) mark(isNatIList(X:S)) -> a__isNatIList(X:S) mark(isNatList(X:S)) -> a__isNatList(X:S) mark(length(X:S)) -> a__length(mark(X:S)) mark(nil) -> nil mark(s(X:S)) -> s(mark(X:S)) mark(tt) -> tt mark(zeros) -> a__zeros ) Problem 1: Dependency Pairs Processor: -> Pairs: A__U11(tt,L:S) -> A__LENGTH(mark(L:S)) A__U11(tt,L:S) -> MARK(L:S) A__AND(tt,X:S) -> MARK(X:S) A__ISNAT(length(V1:S)) -> A__ISNATLIST(V1:S) A__ISNAT(s(V1:S)) -> A__ISNAT(V1:S) A__ISNATILIST(cons(V1:S,V2:S)) -> A__AND(a__isNat(V1:S),isNatIList(V2:S)) A__ISNATILIST(cons(V1:S,V2:S)) -> A__ISNAT(V1:S) A__ISNATILIST(V:S) -> A__ISNATLIST(V:S) A__ISNATLIST(cons(V1:S,V2:S)) -> A__AND(a__isNat(V1:S),isNatList(V2:S)) A__ISNATLIST(cons(V1:S,V2:S)) -> A__ISNAT(V1:S) A__LENGTH(cons(N:S,L:S)) -> A__U11(a__and(a__isNatList(L:S),isNat(N:S)),L:S) A__LENGTH(cons(N:S,L:S)) -> A__AND(a__isNatList(L:S),isNat(N:S)) A__LENGTH(cons(N:S,L:S)) -> A__ISNATLIST(L:S) MARK(U11(X1:S,X2:S)) -> A__U11(mark(X1:S),X2:S) MARK(U11(X1:S,X2:S)) -> MARK(X1:S) MARK(and(X1:S,X2:S)) -> A__AND(mark(X1:S),X2:S) MARK(and(X1:S,X2:S)) -> MARK(X1:S) MARK(cons(X1:S,X2:S)) -> MARK(X1:S) MARK(isNat(X:S)) -> A__ISNAT(X:S) MARK(isNatIList(X:S)) -> A__ISNATILIST(X:S) MARK(isNatList(X:S)) -> A__ISNATLIST(X:S) MARK(length(X:S)) -> A__LENGTH(mark(X:S)) MARK(length(X:S)) -> MARK(X:S) MARK(s(X:S)) -> MARK(X:S) MARK(zeros) -> A__ZEROS -> Rules: a__U11(tt,L:S) -> s(a__length(mark(L:S))) a__U11(X1:S,X2:S) -> U11(X1:S,X2:S) a__and(tt,X:S) -> mark(X:S) a__and(X1:S,X2:S) -> and(X1:S,X2:S) a__isNat(0) -> tt a__isNat(length(V1:S)) -> a__isNatList(V1:S) a__isNat(s(V1:S)) -> a__isNat(V1:S) a__isNat(X:S) -> isNat(X:S) a__isNatIList(cons(V1:S,V2:S)) -> a__and(a__isNat(V1:S),isNatIList(V2:S)) a__isNatIList(zeros) -> tt a__isNatIList(V:S) -> a__isNatList(V:S) a__isNatIList(X:S) -> isNatIList(X:S) a__isNatList(cons(V1:S,V2:S)) -> a__and(a__isNat(V1:S),isNatList(V2:S)) a__isNatList(nil) -> tt a__isNatList(X:S) -> isNatList(X:S) a__length(cons(N:S,L:S)) -> a__U11(a__and(a__isNatList(L:S),isNat(N:S)),L:S) a__length(nil) -> 0 a__length(X:S) -> length(X:S) a__zeros -> cons(0,zeros) a__zeros -> zeros mark(0) -> 0 mark(U11(X1:S,X2:S)) -> a__U11(mark(X1:S),X2:S) mark(and(X1:S,X2:S)) -> a__and(mark(X1:S),X2:S) mark(cons(X1:S,X2:S)) -> cons(mark(X1:S),X2:S) mark(isNat(X:S)) -> a__isNat(X:S) mark(isNatIList(X:S)) -> a__isNatIList(X:S) mark(isNatList(X:S)) -> a__isNatList(X:S) mark(length(X:S)) -> a__length(mark(X:S)) mark(nil) -> nil mark(s(X:S)) -> s(mark(X:S)) popout

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

job log

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actions

all output return to TRS Standard