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TRS Contextsensitive pair #487092626
details
property
value
status
complete
benchmark
OvConsOS_nokinds-noand.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n139.star.cs.uiowa.edu
space
Maude_06
run statistics
property
value
solver
muterm 5.18
configuration
default
runtime (wallclock)
0.18663 seconds
cpu usage
0.194335
user time
0.145635
system time
0.0487
max virtual memory
113188.0
max residence set size
8164.0
stage attributes
key
value
starexec-result
YES
output
YES Problem 1: (VAR IL L M N V V1 V2) (STRATEGY CONTEXTSENSITIVE (U11 1) (U21 1) (U31 1) (U41 1) (U42 1) (U51 1) (U52 1) (U61 1) (U62 1) (U71 1) (U72 1) (U81 1) (U91 1) (U92 1) (U93 1) (isNat) (isNatIList) (isNatList) (length 1) (take 1 2) (zeros) (0) (cons 1) (nil) (s 1) (tt) ) (RULES U11(tt) -> tt U21(tt) -> tt U31(tt) -> tt U41(tt,V2) -> U42(isNatIList(V2)) U42(tt) -> tt U51(tt,V2) -> U52(isNatList(V2)) U52(tt) -> tt U61(tt,V2) -> U62(isNatIList(V2)) U62(tt) -> tt U71(tt,L,N) -> U72(isNat(N),L) U72(tt,L) -> s(length(L)) U81(tt) -> nil U91(tt,IL,M,N) -> U92(isNat(M),IL,M,N) U92(tt,IL,M,N) -> U93(isNat(N),IL,M,N) U93(tt,IL,M,N) -> cons(N,take(M,IL)) isNat(length(V1)) -> U11(isNatList(V1)) isNat(0) -> tt isNat(s(V1)) -> U21(isNat(V1)) isNatIList(zeros) -> tt isNatIList(cons(V1,V2)) -> U41(isNat(V1),V2) isNatIList(V) -> U31(isNatList(V)) isNatList(take(V1,V2)) -> U61(isNat(V1),V2) isNatList(cons(V1,V2)) -> U51(isNat(V1),V2) isNatList(nil) -> tt length(cons(N,L)) -> U71(isNatList(L),L,N) length(nil) -> 0 take(0,IL) -> U81(isNatIList(IL)) take(s(M),cons(N,IL)) -> U91(isNatIList(IL),IL,M,N) zeros -> cons(0,zeros) ) Problem 1: Dependency Pairs Processor: -> Pairs: U41#(tt,V2) -> U42#(isNatIList(V2)) U41#(tt,V2) -> ISNATILIST(V2) U51#(tt,V2) -> U52#(isNatList(V2)) U51#(tt,V2) -> ISNATLIST(V2) U61#(tt,V2) -> U62#(isNatIList(V2)) U61#(tt,V2) -> ISNATILIST(V2) U71#(tt,L,N) -> U72#(isNat(N),L) U71#(tt,L,N) -> ISNAT(N) U72#(tt,L) -> LENGTH(L) U72#(tt,L) -> L U91#(tt,IL,M,N) -> U92#(isNat(M),IL,M,N) U91#(tt,IL,M,N) -> ISNAT(M) U92#(tt,IL,M,N) -> U93#(isNat(N),IL,M,N) U92#(tt,IL,M,N) -> ISNAT(N) U93#(tt,IL,M,N) -> N ISNAT(length(V1)) -> U11#(isNatList(V1)) ISNAT(length(V1)) -> ISNATLIST(V1) ISNAT(s(V1)) -> U21#(isNat(V1)) ISNAT(s(V1)) -> ISNAT(V1) ISNATILIST(cons(V1,V2)) -> U41#(isNat(V1),V2) ISNATILIST(cons(V1,V2)) -> ISNAT(V1) ISNATILIST(V) -> U31#(isNatList(V)) ISNATILIST(V) -> ISNATLIST(V) ISNATLIST(take(V1,V2)) -> U61#(isNat(V1),V2) ISNATLIST(take(V1,V2)) -> ISNAT(V1) ISNATLIST(cons(V1,V2)) -> U51#(isNat(V1),V2) ISNATLIST(cons(V1,V2)) -> ISNAT(V1) LENGTH(cons(N,L)) -> U71#(isNatList(L),L,N) LENGTH(cons(N,L)) -> ISNATLIST(L) TAKE(0,IL) -> U81#(isNatIList(IL)) TAKE(0,IL) -> ISNATILIST(IL)
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