TRS_Contextsensitive 2019-03-21 05.07 pair #429997124

details

property	value
status	complete
benchmark	LengthOfFiniteLists_complete.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n097.star.cs.uiowa.edu
space	Maude_06

run statistics

property	value
solver	muterm 5.18
configuration	default
runtime (wallclock)	24.5449 seconds
cpu usage	24.0278
user time	22.3165
system time	1.71126
max virtual memory	800024.0
max residence set size	44900.0

stage attributes

key	value
starexec-result	YES

output

23.97/24.54	YES
23.97/24.54	
23.97/24.54	Problem 1: 
23.97/24.54	
23.97/24.54	(VAR L N V V1 V2 X)
23.97/24.54	(STRATEGY CONTEXTSENSITIVE
23.97/24.54	(U11 1)
23.97/24.54	(U12 1)
23.97/24.54	(U21 1)
23.97/24.54	(U22 1)
23.97/24.54	(U31 1)
23.97/24.54	(U32 1)
23.97/24.54	(U41 1)
23.97/24.54	(U42 1)
23.97/24.54	(U43 1)
23.97/24.54	(U51 1)
23.97/24.54	(U52 1)
23.97/24.54	(U53 1)
23.97/24.54	(U61 1)
23.97/24.54	(and 1)
23.97/24.54	(isNat)
23.97/24.54	(isNatIList)
23.97/24.54	(isNatIListKind)
23.97/24.54	(isNatKind)
23.97/24.54	(isNatList)
23.97/24.54	(length 1)
23.97/24.54	(zeros)
23.97/24.54	(0)
23.97/24.54	(cons 1)
23.97/24.54	(nil)
23.97/24.54	(s 1)
23.97/24.54	(tt)
23.97/24.54	)
23.97/24.54	(RULES
23.97/24.54	U11(tt,V1) -> U12(isNatList(V1))
23.97/24.54	U12(tt) -> tt
23.97/24.54	U21(tt,V1) -> U22(isNat(V1))
23.97/24.54	U22(tt) -> tt
23.97/24.54	U31(tt,V) -> U32(isNatList(V))
23.97/24.54	U32(tt) -> tt
23.97/24.54	U41(tt,V1,V2) -> U42(isNat(V1),V2)
23.97/24.54	U42(tt,V2) -> U43(isNatIList(V2))
23.97/24.54	U43(tt) -> tt
23.97/24.54	U51(tt,V1,V2) -> U52(isNat(V1),V2)
23.97/24.54	U52(tt,V2) -> U53(isNatList(V2))
23.97/24.54	U53(tt) -> tt
23.97/24.54	U61(tt,L) -> s(length(L))
23.97/24.54	and(tt,X) -> X
23.97/24.54	isNat(length(V1)) -> U11(isNatIListKind(V1),V1)
23.97/24.54	isNat(0) -> tt
23.97/24.54	isNat(s(V1)) -> U21(isNatKind(V1),V1)
23.97/24.54	isNatIList(zeros) -> tt
23.97/24.54	isNatIList(cons(V1,V2)) -> U41(and(isNatKind(V1),isNatIListKind(V2)),V1,V2)
23.97/24.54	isNatIList(V) -> U31(isNatIListKind(V),V)
23.97/24.54	isNatIListKind(zeros) -> tt
23.97/24.54	isNatIListKind(cons(V1,V2)) -> and(isNatKind(V1),isNatIListKind(V2))
23.97/24.54	isNatIListKind(nil) -> tt
23.97/24.54	isNatKind(length(V1)) -> isNatIListKind(V1)
23.97/24.54	isNatKind(0) -> tt
23.97/24.54	isNatKind(s(V1)) -> isNatKind(V1)
23.97/24.54	isNatList(cons(V1,V2)) -> U51(and(isNatKind(V1),isNatIListKind(V2)),V1,V2)
23.97/24.54	isNatList(nil) -> tt
23.97/24.54	length(cons(N,L)) -> U61(and(and(isNatList(L),isNatIListKind(L)),and(isNat(N),isNatKind(N))),L)
23.97/24.54	length(nil) -> 0
23.97/24.54	zeros -> cons(0,zeros)
23.97/24.54	)
23.97/24.54	
23.97/24.54	Problem 1: 
23.97/24.54	
23.97/24.54	Dependency Pairs Processor:
23.97/24.54	-> Pairs:
23.97/24.54	 U11#(tt,V1) -> U12#(isNatList(V1))
23.97/24.54	 U11#(tt,V1) -> ISNATLIST(V1)
23.97/24.54	 U21#(tt,V1) -> U22#(isNat(V1))
23.97/24.54	 U21#(tt,V1) -> ISNAT(V1)
23.97/24.54	 U31#(tt,V) -> U32#(isNatList(V))
23.97/24.54	 U31#(tt,V) -> ISNATLIST(V)
23.97/24.54	 U41#(tt,V1,V2) -> U42#(isNat(V1),V2)
23.97/24.54	 U41#(tt,V1,V2) -> ISNAT(V1)
23.97/24.54	 U42#(tt,V2) -> U43#(isNatIList(V2))
23.97/24.54	 U42#(tt,V2) -> ISNATILIST(V2)
23.97/24.54	 U51#(tt,V1,V2) -> U52#(isNat(V1),V2)
23.97/24.54	 U51#(tt,V1,V2) -> ISNAT(V1)
23.97/24.54	 U52#(tt,V2) -> U53#(isNatList(V2))
23.97/24.54	 U52#(tt,V2) -> ISNATLIST(V2)
23.97/24.54	 U61#(tt,L) -> LENGTH(L)
23.97/24.54	 U61#(tt,L) -> L
23.97/24.54	 AND(tt,X) -> X
23.97/24.54	 ISNAT(length(V1)) -> U11#(isNatIListKind(V1),V1)
23.97/24.54	 ISNAT(length(V1)) -> ISNATILISTKIND(V1)
23.97/24.54	 ISNAT(s(V1)) -> U21#(isNatKind(V1),V1)
23.97/24.54	 ISNAT(s(V1)) -> ISNATKIND(V1)
23.97/24.54	 ISNATILIST(cons(V1,V2)) -> U41#(and(isNatKind(V1),isNatIListKind(V2)),V1,V2)
23.97/24.54	 ISNATILIST(cons(V1,V2)) -> AND(isNatKind(V1),isNatIListKind(V2))
23.97/24.54	 ISNATILIST(cons(V1,V2)) -> ISNATKIND(V1)
23.97/24.54	 ISNATILIST(V) -> U31#(isNatIListKind(V),V)
23.97/24.54	 ISNATILIST(V) -> ISNATILISTKIND(V)
23.97/24.54	 ISNATILISTKIND(cons(V1,V2)) -> AND(isNatKind(V1),isNatIListKind(V2))
23.97/24.54	 ISNATILISTKIND(cons(V1,V2)) -> ISNATKIND(V1)
23.97/24.54	 ISNATKIND(length(V1)) -> ISNATILISTKIND(V1)

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actions all output return to TRS_Contextsensitive 2019-03-21 05.07