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	n149.star.cs.uiowa.edu
space	Transformed_CSR_innermost_04

run statistics

property	value
solver	muterm 6.0.3
configuration	default
runtime (wallclock)	110.49 seconds
cpu usage	107.848
user time	97.2404
system time	10.6076
max virtual memory	817516.0
max residence set size	42392.0

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)) ) (STRATEGY INNERMOST) 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) popout

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

job log

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actions

all output return to TRS Innermost