TRS_Contextsensitive 2019-03-21 05.07 pair #429997106

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	n180.star.cs.uiowa.edu
space	Maude_06

run statistics

property	value
solver	muterm 5.18
configuration	default
runtime (wallclock)	4.42558 seconds
cpu usage	4.03192
user time	3.17375
system time	0.85817
max virtual memory	691628.0
max residence set size	8200.0

stage attributes

key	value
starexec-result	YES

output

3.92/4.42	YES
3.92/4.42	
3.92/4.42	Problem 1: 
3.92/4.42	
3.92/4.42	(VAR L N V V1 V2 X)
3.92/4.42	(STRATEGY CONTEXTSENSITIVE
3.92/4.42	(U11 1)
3.92/4.42	(and 1)
3.92/4.42	(isNat)
3.92/4.42	(isNatIList)
3.92/4.42	(isNatList)
3.92/4.42	(length 1)
3.92/4.42	(zeros)
3.92/4.42	(0)
3.92/4.42	(cons 1)
3.92/4.42	(nil)
3.92/4.42	(s 1)
3.92/4.42	(tt)
3.92/4.42	)
3.92/4.42	(RULES
3.92/4.42	U11(tt,L) -> s(length(L))
3.92/4.42	and(tt,X) -> X
3.92/4.42	isNat(length(V1)) -> isNatList(V1)
3.92/4.42	isNat(0) -> tt
3.92/4.42	isNat(s(V1)) -> isNat(V1)
3.92/4.42	isNatIList(zeros) -> tt
3.92/4.42	isNatIList(cons(V1,V2)) -> and(isNat(V1),isNatIList(V2))
3.92/4.42	isNatIList(V) -> isNatList(V)
3.92/4.42	isNatList(cons(V1,V2)) -> and(isNat(V1),isNatList(V2))
3.92/4.42	isNatList(nil) -> tt
3.92/4.42	length(cons(N,L)) -> U11(and(isNatList(L),isNat(N)),L)
3.92/4.42	length(nil) -> 0
3.92/4.42	zeros -> cons(0,zeros)
3.92/4.42	)
3.92/4.42	
3.92/4.42	Problem 1: 
3.92/4.42	
3.92/4.42	Dependency Pairs Processor:
3.92/4.42	-> Pairs:
3.92/4.42	 U11#(tt,L) -> LENGTH(L)
3.92/4.42	 U11#(tt,L) -> L
3.92/4.42	 AND(tt,X) -> X
3.92/4.42	 ISNAT(length(V1)) -> ISNATLIST(V1)
3.92/4.42	 ISNAT(s(V1)) -> ISNAT(V1)
3.92/4.42	 ISNATILIST(cons(V1,V2)) -> AND(isNat(V1),isNatIList(V2))
3.92/4.42	 ISNATILIST(cons(V1,V2)) -> ISNAT(V1)
3.92/4.42	 ISNATILIST(V) -> ISNATLIST(V)
3.92/4.42	 ISNATLIST(cons(V1,V2)) -> AND(isNat(V1),isNatList(V2))
3.92/4.42	 ISNATLIST(cons(V1,V2)) -> ISNAT(V1)
3.92/4.42	 LENGTH(cons(N,L)) -> U11#(and(isNatList(L),isNat(N)),L)
3.92/4.42	 LENGTH(cons(N,L)) -> AND(isNatList(L),isNat(N))
3.92/4.42	 LENGTH(cons(N,L)) -> ISNATLIST(L)
3.92/4.42	-> Rules:
3.92/4.42	 U11(tt,L) -> s(length(L))
3.92/4.42	 and(tt,X) -> X
3.92/4.42	 isNat(length(V1)) -> isNatList(V1)
3.92/4.42	 isNat(0) -> tt
3.92/4.42	 isNat(s(V1)) -> isNat(V1)
3.92/4.42	 isNatIList(zeros) -> tt
3.92/4.42	 isNatIList(cons(V1,V2)) -> and(isNat(V1),isNatIList(V2))
3.92/4.42	 isNatIList(V) -> isNatList(V)
3.92/4.42	 isNatList(cons(V1,V2)) -> and(isNat(V1),isNatList(V2))
3.92/4.42	 isNatList(nil) -> tt
3.92/4.42	 length(cons(N,L)) -> U11(and(isNatList(L),isNat(N)),L)
3.92/4.42	 length(nil) -> 0
3.92/4.42	 zeros -> cons(0,zeros)
3.92/4.42	-> Unhiding Rules:
3.92/4.42	 isNat(N) -> ISNAT(N)
3.92/4.42	 isNatIList(V2) -> ISNATILIST(V2)
3.92/4.42	 isNatList(V2) -> ISNATLIST(V2)
3.92/4.42	 zeros -> ZEROS
3.92/4.42	
3.92/4.42	Problem 1: 
3.92/4.42	
3.92/4.42	SCC Processor:
3.92/4.42	-> Pairs:
3.92/4.42	 U11#(tt,L) -> LENGTH(L)
3.92/4.42	 U11#(tt,L) -> L
3.92/4.42	 AND(tt,X) -> X
3.92/4.42	 ISNAT(length(V1)) -> ISNATLIST(V1)
3.92/4.42	 ISNAT(s(V1)) -> ISNAT(V1)
3.92/4.42	 ISNATILIST(cons(V1,V2)) -> AND(isNat(V1),isNatIList(V2))
3.92/4.42	 ISNATILIST(cons(V1,V2)) -> ISNAT(V1)
3.92/4.42	 ISNATILIST(V) -> ISNATLIST(V)
3.92/4.42	 ISNATLIST(cons(V1,V2)) -> AND(isNat(V1),isNatList(V2))
3.92/4.42	 ISNATLIST(cons(V1,V2)) -> ISNAT(V1)
3.92/4.42	 LENGTH(cons(N,L)) -> U11#(and(isNatList(L),isNat(N)),L)
3.92/4.42	 LENGTH(cons(N,L)) -> AND(isNatList(L),isNat(N))
3.92/4.42	 LENGTH(cons(N,L)) -> ISNATLIST(L)
3.92/4.42	-> Rules:
3.92/4.42	 U11(tt,L) -> s(length(L))
3.92/4.42	 and(tt,X) -> X
3.92/4.42	 isNat(length(V1)) -> isNatList(V1)
3.92/4.42	 isNat(0) -> tt
3.92/4.42	 isNat(s(V1)) -> isNat(V1)
3.92/4.42	 isNatIList(zeros) -> tt
3.92/4.42	 isNatIList(cons(V1,V2)) -> and(isNat(V1),isNatIList(V2))
3.92/4.42	 isNatIList(V) -> isNatList(V)
3.92/4.42	 isNatList(cons(V1,V2)) -> and(isNat(V1),isNatList(V2))
3.92/4.42	 isNatList(nil) -> tt

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