details

property	value
status	complete
benchmark	MYNAT_nokinds_noand_GM.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n186.star.cs.uiowa.edu
space	Transformed_CSR_04

run statistics

property	value
solver	muterm 6.0.3
configuration	default
runtime (wallclock)	113.572 seconds
cpu usage	108.227
user time	97.0539
system time	11.1731
max virtual memory	819008.0
max residence set size	42380.0

stage attributes

key	value
starexec-result	YES

output

YES Problem 1: (VAR v_NonEmpty:S M:S N:S V1:S V2:S X:S X1:S X2:S X3:S) (RULES a__U11(tt,V2:S) -> a__U12(a__isNat(V2:S)) a__U11(X1:S,X2:S) -> U11(X1:S,X2:S) a__U12(tt) -> tt a__U12(X:S) -> U12(X:S) a__U21(tt) -> tt a__U21(X:S) -> U21(X:S) a__U31(tt,V2:S) -> a__U32(a__isNat(V2:S)) a__U31(X1:S,X2:S) -> U31(X1:S,X2:S) a__U32(tt) -> tt a__U32(X:S) -> U32(X:S) a__U41(tt,N:S) -> mark(N:S) a__U41(X1:S,X2:S) -> U41(X1:S,X2:S) a__U51(tt,M:S,N:S) -> a__U52(a__isNat(N:S),M:S,N:S) a__U51(X1:S,X2:S,X3:S) -> U51(X1:S,X2:S,X3:S) a__U52(tt,M:S,N:S) -> s(a__plus(mark(N:S),mark(M:S))) a__U52(X1:S,X2:S,X3:S) -> U52(X1:S,X2:S,X3:S) a__U61(tt) -> 0 a__U61(X:S) -> U61(X:S) a__U71(tt,M:S,N:S) -> a__U72(a__isNat(N:S),M:S,N:S) a__U71(X1:S,X2:S,X3:S) -> U71(X1:S,X2:S,X3:S) a__U72(tt,M:S,N:S) -> a__plus(a__x(mark(N:S),mark(M:S)),mark(N:S)) a__U72(X1:S,X2:S,X3:S) -> U72(X1:S,X2:S,X3:S) a__isNat(0) -> tt a__isNat(plus(V1:S,V2:S)) -> a__U11(a__isNat(V1:S),V2:S) a__isNat(s(V1:S)) -> a__U21(a__isNat(V1:S)) a__isNat(x(V1:S,V2:S)) -> a__U31(a__isNat(V1:S),V2:S) a__isNat(X:S) -> isNat(X:S) a__plus(N:S,0) -> a__U41(a__isNat(N:S),N:S) a__plus(N:S,s(M:S)) -> a__U51(a__isNat(M:S),M:S,N:S) a__plus(X1:S,X2:S) -> plus(X1:S,X2:S) a__x(N:S,0) -> a__U61(a__isNat(N:S)) a__x(N:S,s(M:S)) -> a__U71(a__isNat(M:S),M:S,N:S) a__x(X1:S,X2:S) -> x(X1:S,X2:S) mark(0) -> 0 mark(U11(X1:S,X2:S)) -> a__U11(mark(X1:S),X2:S) mark(U12(X:S)) -> a__U12(mark(X:S)) mark(U21(X:S)) -> a__U21(mark(X:S)) mark(U31(X1:S,X2:S)) -> a__U31(mark(X1:S),X2:S) mark(U32(X:S)) -> a__U32(mark(X:S)) mark(U41(X1:S,X2:S)) -> a__U41(mark(X1:S),X2:S) mark(U51(X1:S,X2:S,X3:S)) -> a__U51(mark(X1:S),X2:S,X3:S) mark(U52(X1:S,X2:S,X3:S)) -> a__U52(mark(X1:S),X2:S,X3:S) mark(U61(X:S)) -> a__U61(mark(X:S)) mark(U71(X1:S,X2:S,X3:S)) -> a__U71(mark(X1:S),X2:S,X3:S) mark(U72(X1:S,X2:S,X3:S)) -> a__U72(mark(X1:S),X2:S,X3:S) mark(isNat(X:S)) -> a__isNat(X:S) mark(plus(X1:S,X2:S)) -> a__plus(mark(X1:S),mark(X2:S)) mark(s(X:S)) -> s(mark(X:S)) mark(tt) -> tt mark(x(X1:S,X2:S)) -> a__x(mark(X1:S),mark(X2:S)) ) Problem 1: Dependency Pairs Processor: -> Pairs: A__U11(tt,V2:S) -> A__U12(a__isNat(V2:S)) A__U11(tt,V2:S) -> A__ISNAT(V2:S) A__U31(tt,V2:S) -> A__U32(a__isNat(V2:S)) A__U31(tt,V2:S) -> A__ISNAT(V2:S) A__U41(tt,N:S) -> MARK(N:S) A__U51(tt,M:S,N:S) -> A__U52(a__isNat(N:S),M:S,N:S) A__U51(tt,M:S,N:S) -> A__ISNAT(N:S) A__U52(tt,M:S,N:S) -> A__PLUS(mark(N:S),mark(M:S)) A__U52(tt,M:S,N:S) -> MARK(M:S) A__U52(tt,M:S,N:S) -> MARK(N:S) A__U71(tt,M:S,N:S) -> A__U72(a__isNat(N:S),M:S,N:S) A__U71(tt,M:S,N:S) -> A__ISNAT(N:S) A__U72(tt,M:S,N:S) -> A__PLUS(a__x(mark(N:S),mark(M:S)),mark(N:S)) A__U72(tt,M:S,N:S) -> A__X(mark(N:S),mark(M:S)) A__U72(tt,M:S,N:S) -> MARK(M:S) A__U72(tt,M:S,N:S) -> MARK(N:S) A__ISNAT(plus(V1:S,V2:S)) -> A__U11(a__isNat(V1:S),V2:S) A__ISNAT(plus(V1:S,V2:S)) -> A__ISNAT(V1:S) A__ISNAT(s(V1:S)) -> A__U21(a__isNat(V1:S)) A__ISNAT(s(V1:S)) -> A__ISNAT(V1:S) A__ISNAT(x(V1:S,V2:S)) -> A__U31(a__isNat(V1:S),V2:S) A__ISNAT(x(V1:S,V2:S)) -> A__ISNAT(V1:S) A__PLUS(N:S,0) -> A__U41(a__isNat(N:S),N:S) A__PLUS(N:S,0) -> A__ISNAT(N:S) A__PLUS(N:S,s(M:S)) -> A__U51(a__isNat(M:S),M:S,N:S) A__PLUS(N:S,s(M:S)) -> A__ISNAT(M:S) A__X(N:S,0) -> A__U61(a__isNat(N:S)) A__X(N:S,0) -> A__ISNAT(N:S) A__X(N:S,s(M:S)) -> A__U71(a__isNat(M:S),M:S,N:S) A__X(N:S,s(M:S)) -> A__ISNAT(M:S) MARK(U11(X1:S,X2:S)) -> A__U11(mark(X1:S),X2:S) MARK(U11(X1:S,X2:S)) -> MARK(X1:S) MARK(U12(X:S)) -> A__U12(mark(X:S)) MARK(U12(X:S)) -> MARK(X:S) MARK(U21(X:S)) -> A__U21(mark(X:S)) MARK(U21(X:S)) -> MARK(X:S) MARK(U31(X1:S,X2:S)) -> A__U31(mark(X1:S),X2:S) MARK(U31(X1:S,X2:S)) -> MARK(X1:S) popout

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

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actions

all output return to TRS Standard