details

property	value
status	complete
benchmark	LengthOfFiniteLists_nokinds.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	Maude_06

run statistics

property	value
solver	muterm 5.18
configuration	default
runtime (wallclock)	4.29187 seconds
cpu usage	4.00233
user time	3.1879
system time	0.814429
max virtual memory	691972.0
max residence set size	8196.0

stage attributes

key	value
starexec-result	YES

output

YES Problem 1: (VAR L N V V1 V2 X) (STRATEGY CONTEXTSENSITIVE (U11 1) (and 1) (isNat) (isNatIList) (isNatList) (length 1) (zeros) (0) (cons 1) (nil) (s 1) (tt) ) (RULES U11(tt,L) -> s(length(L)) and(tt,X) -> X isNat(length(V1)) -> isNatList(V1) isNat(0) -> tt isNat(s(V1)) -> isNat(V1) isNatIList(zeros) -> tt isNatIList(cons(V1,V2)) -> and(isNat(V1),isNatIList(V2)) isNatIList(V) -> isNatList(V) isNatList(cons(V1,V2)) -> and(isNat(V1),isNatList(V2)) isNatList(nil) -> tt length(cons(N,L)) -> U11(and(isNatList(L),isNat(N)),L) length(nil) -> 0 zeros -> cons(0,zeros) ) Problem 1: Dependency Pairs Processor: -> Pairs: U11#(tt,L) -> LENGTH(L) U11#(tt,L) -> L AND(tt,X) -> X ISNAT(length(V1)) -> ISNATLIST(V1) ISNAT(s(V1)) -> ISNAT(V1) ISNATILIST(cons(V1,V2)) -> AND(isNat(V1),isNatIList(V2)) ISNATILIST(cons(V1,V2)) -> ISNAT(V1) ISNATILIST(V) -> ISNATLIST(V) ISNATLIST(cons(V1,V2)) -> AND(isNat(V1),isNatList(V2)) ISNATLIST(cons(V1,V2)) -> ISNAT(V1) LENGTH(cons(N,L)) -> U11#(and(isNatList(L),isNat(N)),L) LENGTH(cons(N,L)) -> AND(isNatList(L),isNat(N)) LENGTH(cons(N,L)) -> ISNATLIST(L) -> Rules: U11(tt,L) -> s(length(L)) and(tt,X) -> X isNat(length(V1)) -> isNatList(V1) isNat(0) -> tt isNat(s(V1)) -> isNat(V1) isNatIList(zeros) -> tt isNatIList(cons(V1,V2)) -> and(isNat(V1),isNatIList(V2)) isNatIList(V) -> isNatList(V) isNatList(cons(V1,V2)) -> and(isNat(V1),isNatList(V2)) isNatList(nil) -> tt length(cons(N,L)) -> U11(and(isNatList(L),isNat(N)),L) length(nil) -> 0 zeros -> cons(0,zeros) -> Unhiding Rules: isNat(N) -> ISNAT(N) isNatIList(V2) -> ISNATILIST(V2) isNatList(V2) -> ISNATLIST(V2) zeros -> ZEROS Problem 1: SCC Processor: -> Pairs: U11#(tt,L) -> LENGTH(L) U11#(tt,L) -> L AND(tt,X) -> X ISNAT(length(V1)) -> ISNATLIST(V1) ISNAT(s(V1)) -> ISNAT(V1) ISNATILIST(cons(V1,V2)) -> AND(isNat(V1),isNatIList(V2)) ISNATILIST(cons(V1,V2)) -> ISNAT(V1) ISNATILIST(V) -> ISNATLIST(V) ISNATLIST(cons(V1,V2)) -> AND(isNat(V1),isNatList(V2)) ISNATLIST(cons(V1,V2)) -> ISNAT(V1) LENGTH(cons(N,L)) -> U11#(and(isNatList(L),isNat(N)),L) LENGTH(cons(N,L)) -> AND(isNatList(L),isNat(N)) LENGTH(cons(N,L)) -> ISNATLIST(L) -> Rules: U11(tt,L) -> s(length(L)) and(tt,X) -> X isNat(length(V1)) -> isNatList(V1) isNat(0) -> tt isNat(s(V1)) -> isNat(V1) isNatIList(zeros) -> tt isNatIList(cons(V1,V2)) -> and(isNat(V1),isNatIList(V2)) isNatIList(V) -> isNatList(V) isNatList(cons(V1,V2)) -> and(isNat(V1),isNatList(V2)) isNatList(nil) -> tt popout

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

job log

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actions

all output return to TRS Contextsensitive