details

property	value
status	complete
benchmark	MYNAT_nokinds-noand-peanoSimple.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n143.star.cs.uiowa.edu
space	Maude_06

run statistics

property	value
solver	muterm 5.18
configuration	default
runtime (wallclock)	0.0189199 seconds
cpu usage	0.019376
user time	0.011933
system time	0.007443
max virtual memory	113188.0
max residence set size	5112.0

stage attributes

key	value
starexec-result	YES

output

YES Problem 1: (VAR M N V1 V2) (STRATEGY CONTEXTSENSITIVE (U11 1) (U12 1) (U21 1) (U31 1) (U41 1) (U42 1) (isNat) (plus 1 2) (0) (s 1) (tt) ) (RULES U11(tt,V2) -> U12(isNat(V2)) U12(tt) -> tt U21(tt) -> tt U31(tt,N) -> N U41(tt,M,N) -> U42(isNat(N),M,N) U42(tt,M,N) -> s(plus(N,M)) isNat(plus(V1,V2)) -> U11(isNat(V1),V2) isNat(0) -> tt isNat(s(V1)) -> U21(isNat(V1)) plus(N,0) -> U31(isNat(N),N) plus(N,s(M)) -> U41(isNat(M),M,N) ) Problem 1: Dependency Pairs Processor: -> Pairs: U11#(tt,V2) -> U12#(isNat(V2)) U11#(tt,V2) -> ISNAT(V2) U31#(tt,N) -> N U41#(tt,M,N) -> U42#(isNat(N),M,N) U41#(tt,M,N) -> ISNAT(N) U42#(tt,M,N) -> PLUS(N,M) U42#(tt,M,N) -> M U42#(tt,M,N) -> N ISNAT(plus(V1,V2)) -> U11#(isNat(V1),V2) ISNAT(plus(V1,V2)) -> ISNAT(V1) ISNAT(s(V1)) -> U21#(isNat(V1)) ISNAT(s(V1)) -> ISNAT(V1) PLUS(N,0) -> U31#(isNat(N),N) PLUS(N,0) -> ISNAT(N) PLUS(N,s(M)) -> U41#(isNat(M),M,N) PLUS(N,s(M)) -> ISNAT(M) -> Rules: U11(tt,V2) -> U12(isNat(V2)) U12(tt) -> tt U21(tt) -> tt U31(tt,N) -> N U41(tt,M,N) -> U42(isNat(N),M,N) U42(tt,M,N) -> s(plus(N,M)) isNat(plus(V1,V2)) -> U11(isNat(V1),V2) isNat(0) -> tt isNat(s(V1)) -> U21(isNat(V1)) plus(N,0) -> U31(isNat(N),N) plus(N,s(M)) -> U41(isNat(M),M,N) -> Unhiding Rules: Empty Problem 1: SCC Processor: -> Pairs: U11#(tt,V2) -> U12#(isNat(V2)) U11#(tt,V2) -> ISNAT(V2) U31#(tt,N) -> N U41#(tt,M,N) -> U42#(isNat(N),M,N) U41#(tt,M,N) -> ISNAT(N) U42#(tt,M,N) -> PLUS(N,M) U42#(tt,M,N) -> M U42#(tt,M,N) -> N ISNAT(plus(V1,V2)) -> U11#(isNat(V1),V2) ISNAT(plus(V1,V2)) -> ISNAT(V1) ISNAT(s(V1)) -> U21#(isNat(V1)) ISNAT(s(V1)) -> ISNAT(V1) PLUS(N,0) -> U31#(isNat(N),N) PLUS(N,0) -> ISNAT(N) PLUS(N,s(M)) -> U41#(isNat(M),M,N) PLUS(N,s(M)) -> ISNAT(M) -> Rules: U11(tt,V2) -> U12(isNat(V2)) U12(tt) -> tt U21(tt) -> tt U31(tt,N) -> N U41(tt,M,N) -> U42(isNat(N),M,N) U42(tt,M,N) -> s(plus(N,M)) isNat(plus(V1,V2)) -> U11(isNat(V1),V2) isNat(0) -> tt isNat(s(V1)) -> U21(isNat(V1)) plus(N,0) -> U31(isNat(N),N) plus(N,s(M)) -> U41(isNat(M),M,N) -> Unhiding rules: popout

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

job log

popout

actions

all output return to TRS Contextsensitive