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TRS Contextsensitive pair #487092620
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
n148.star.cs.uiowa.edu
space
Maude_06
run statistics
property
value
solver
muterm 5.18
configuration
default
runtime (wallclock)
24.7464 seconds
cpu usage
24.0756
user time
22.3224
system time
1.75317
max virtual memory
733640.0
max residence set size
44900.0
stage attributes
key
value
starexec-result
YES
output
YES Problem 1: (VAR L N V V1 V2 X) (STRATEGY CONTEXTSENSITIVE (U11 1) (U12 1) (U21 1) (U22 1) (U31 1) (U32 1) (U41 1) (U42 1) (U43 1) (U51 1) (U52 1) (U53 1) (U61 1) (and 1) (isNat) (isNatIList) (isNatIListKind) (isNatKind) (isNatList) (length 1) (zeros) (0) (cons 1) (nil) (s 1) (tt) ) (RULES U11(tt,V1) -> U12(isNatList(V1)) U12(tt) -> tt U21(tt,V1) -> U22(isNat(V1)) U22(tt) -> tt U31(tt,V) -> U32(isNatList(V)) U32(tt) -> tt U41(tt,V1,V2) -> U42(isNat(V1),V2) U42(tt,V2) -> U43(isNatIList(V2)) U43(tt) -> tt U51(tt,V1,V2) -> U52(isNat(V1),V2) U52(tt,V2) -> U53(isNatList(V2)) U53(tt) -> tt U61(tt,L) -> s(length(L)) and(tt,X) -> X isNat(length(V1)) -> U11(isNatIListKind(V1),V1) isNat(0) -> tt isNat(s(V1)) -> U21(isNatKind(V1),V1) isNatIList(zeros) -> tt isNatIList(cons(V1,V2)) -> U41(and(isNatKind(V1),isNatIListKind(V2)),V1,V2) isNatIList(V) -> U31(isNatIListKind(V),V) isNatIListKind(zeros) -> tt isNatIListKind(cons(V1,V2)) -> and(isNatKind(V1),isNatIListKind(V2)) isNatIListKind(nil) -> tt isNatKind(length(V1)) -> isNatIListKind(V1) isNatKind(0) -> tt isNatKind(s(V1)) -> isNatKind(V1) isNatList(cons(V1,V2)) -> U51(and(isNatKind(V1),isNatIListKind(V2)),V1,V2) isNatList(nil) -> tt length(cons(N,L)) -> U61(and(and(isNatList(L),isNatIListKind(L)),and(isNat(N),isNatKind(N))),L) length(nil) -> 0 zeros -> cons(0,zeros) ) Problem 1: Dependency Pairs Processor: -> Pairs: U11#(tt,V1) -> U12#(isNatList(V1)) U11#(tt,V1) -> ISNATLIST(V1) U21#(tt,V1) -> U22#(isNat(V1)) U21#(tt,V1) -> ISNAT(V1) U31#(tt,V) -> U32#(isNatList(V)) U31#(tt,V) -> ISNATLIST(V) U41#(tt,V1,V2) -> U42#(isNat(V1),V2) U41#(tt,V1,V2) -> ISNAT(V1) U42#(tt,V2) -> U43#(isNatIList(V2)) U42#(tt,V2) -> ISNATILIST(V2) U51#(tt,V1,V2) -> U52#(isNat(V1),V2) U51#(tt,V1,V2) -> ISNAT(V1) U52#(tt,V2) -> U53#(isNatList(V2)) U52#(tt,V2) -> ISNATLIST(V2) U61#(tt,L) -> LENGTH(L) U61#(tt,L) -> L AND(tt,X) -> X ISNAT(length(V1)) -> U11#(isNatIListKind(V1),V1) ISNAT(length(V1)) -> ISNATILISTKIND(V1) ISNAT(s(V1)) -> U21#(isNatKind(V1),V1) ISNAT(s(V1)) -> ISNATKIND(V1) ISNATILIST(cons(V1,V2)) -> U41#(and(isNatKind(V1),isNatIListKind(V2)),V1,V2) ISNATILIST(cons(V1,V2)) -> AND(isNatKind(V1),isNatIListKind(V2)) ISNATILIST(cons(V1,V2)) -> ISNATKIND(V1) ISNATILIST(V) -> U31#(isNatIListKind(V),V) ISNATILIST(V) -> ISNATILISTKIND(V) ISNATILISTKIND(cons(V1,V2)) -> AND(isNatKind(V1),isNatIListKind(V2)) ISNATILISTKIND(cons(V1,V2)) -> ISNATKIND(V1) ISNATKIND(length(V1)) -> ISNATILISTKIND(V1)
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